built-in workbooks reference - ms. lee's website -...
TRANSCRIPT
Built-In WorkbooksExtra Practice. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 668
Mixed Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . 704
Preparing for Standardized Tests . . . . . . . . . . . . . . . . . 716
Concepts and Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . 734
ReferencePhoto Credits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . R1
English-Spanish Glossary . . . . . . . . . . . . . . . . . . . . . . . . . R2
Selected Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . R25
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . R52
Formulas and Symbols. . . . . . . . . . . . . Inside Back Cover
666
666_0666_0667_EM_874046 666 10/2/07 12:50:26 PM
Pages 392–665 can be found in Volume 2.
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What If I Need More Practice?You, or your teacher, may decide that working through some additional problems would be helpful. The Extra Practice section provides these problems for each lesson so you have ample opportunity to practice new skills.
What If I Have Trouble with Word Problems?The Mixed Problem Solving portion of the book provides additional word problems that use the skills presented in each chapter. These problems give you real-world situations where the math can be applied.
What If I Need to Prepare for a Standardized Test?The Preparing for Standardized Tests section provides worked-out examples and practice problems for multiple-choice, gridded response, short-response, and extended-response questions.
What If I Forget What I Learned Last Year?Use the Concepts and Skills section to refresh your memory about topics you have learned in other math classes or to prepare for next year.
What If I Forget a Vocabulary Word?The English-Spanish Glossary provides a list of important, or difficult, words used throughout the textbook. It provides a definition in English and Spanish as well as the page number(s) where the word can be found.
What If I Need to Check a Homework Answer?The answers to the odd-numbered problems are included in Selected Answers. Check your answers to make sure you understand how to solve all of the assigned problems.
What If I Need to Find Something Quickly?The Index alphabetically lists the subjects covered throughout the entire textbook and the pages on which each subject can be found.
What If I Forget a Formula?Inside the back cover of your math book is a list of Formulas and Symbols that are used in the book.
The Student Handbook is the additional skill and reference material found at the end of books. The Student Handbook can help answer these questions.
Student Handbook 667
667_0666_0667_EM_874046 667 10/2/07 12:50:45 PM667_0666_0667_EM_874048 667667_0666_0667_EM_874048 667 11/29/07 6:20:07 PM11/29/07 6:20:07 PM
Extr
a Pr
actic
e
668–669 Extra Practice
Extra Practice
Less
on 1
-4
Page
s 38
–41
Eva
luat
e ea
ch e
xpre
ssio
n.
1.
14
- (
5 +
7)
2 2.
(32
+ 1
0) -
5 ×
6 1
2 3.
(50
- 6
) +
(12
+ 4
) 60
4.
12
- 2
· 3
6 5.
16
+ 4
× 5
36
6. (
5 +
3)
× 4
- 7
25
7.
2 ×
3 +
9 ×
2 2
4 8.
6 ·
( 8 +
4)
÷ 2
36
9. 7
× 6
- 1
4 28
10.
8 +
(12
× 4
) ÷
8 1
4 11
. 13
- 6
· 2
+ 1
2
12.
( 80
÷ 1
0) ×
8 6
4
13.
14
- 2
· 7
+ 0
0
14.
156
- 6
× 0
156
15
. 30
- 1
4 · 2
+ 8
10
16.
3 ×
4 -
3 2 3
17
. 10
2 - 5
95
18.
3 +
(10
- 5
+ 1
) 2 39
19.
(4
+ 3
) 2 ÷
7 7
20
. 8
× 1
0 3 8,0
00
21.
10 4 ×
6 6
0,00
0
22.
4.5
× 1
0 3 4,5
00
23.
1.8
× 1
0 2 180
24
. 3
+ 5
( 1.7
+ 2
.3)
23
25.
4 ( 3
.6 +
5.4
) -
9 2
7 26
. 10
+ 3
( 6.1
+ 3
.7)
39.4
27
. 6 (
7.5
+ 2
.1)
- 2
.3 5
5.3
Less
on 1
-5
Page
s 42
–43
Use
the
gues
s an
d ch
eck
stra
tegy
to s
olve
eac
h p
rob
lem
.
1.
NUM
BERS
A n
umbe
r is
div
ided
by
3.
The
n 8
is a
dd
ed to
the
quot
ient
. The
re
sult
is 1
5. W
hat i
s th
e nu
mbe
r? 2
1
3.
MO
NEY
A th
eate
r is
cha
rgin
g $5
for
child
ren
und
er 1
2 an
d $
8 fo
r ev
eryo
ne
else
. If t
he to
tal f
or a
gro
up o
f peo
ple
was
$36
, how
man
y pe
ople
und
er th
e ag
e of
12
wer
e in
the
grou
p? 4
5.
MO
NEY
Pen
ny h
as 1
4 co
ins
tota
ling
$1.5
5. S
he h
as o
ne m
ore
nick
el th
an
she
has
dim
es, a
nd th
ree
less
qua
rter
s th
an n
icke
ls. H
ow m
any
quar
ters
, d
imes
, and
nic
kels
doe
s sh
e ha
ve if
th
ese
are
the
only
coi
n ty
pes
she
has?
2.
NUM
BERS
Ben
ny is
thin
king
of t
wo
num
bers
. The
ir p
rod
uct i
s 32
and
thei
r d
iffe
renc
e is
4. F
ind
the
num
bers
.
4.
PLA
CE V
ALUE
Min
dy
wro
te d
own
a d
ecim
al n
umbe
r. T
he d
igit
in th
e te
nth’
s pl
ace
is h
alf t
he d
igit
in th
e hu
ndre
dth
’s p
lace
. If t
he p
rod
uct o
f th
e tw
o d
igit
s is
18,
wha
t is
the
num
ber?
0.3
6
6.
SO
UVEN
IRS
A s
ouve
nir
shop
sel
ls
stan
dar
d-s
ized
pos
tcar
ds
in p
acka
ges
of 5
and
larg
e-si
zed
pos
tcar
ds
in
pack
ages
of 3
. If J
uan
boug
ht
16 p
ostc
ard
s, h
ow m
any
pack
ages
of
eac
h d
id h
e bu
y?
3 qu
arte
rs, 5
dim
es, a
nd 6
nic
kels
3 qu
arte
rs, 5
dim
es, a
nd 6
nic
kels
4 an
d 8
4 an
d 8
Juan
bou
ght 2
sta
ndar
d si
ze p
acka
ges
and
2 la
rge
size
pac
kage
s.Ju
an b
ough
t 2 s
tand
ard
size
pac
kage
s an
d 2
larg
e si
ze p
acka
ges.
Less
on 1
-6
Page
s 44
–47
Eva
luat
e ea
ch e
xpre
ssio
n if
a =
3, b
= 4
, c =
12,
an
d d
= 1
.
1.
a +
b 7
2.
c -
d 1
1 3.
a +
b +
c 1
9 4.
b -
a 1
5.
c -
ab
0 6.
a +
2d
5 7.
b +
2c
28
8. a
b 12
9.
a +
3b
15
10.
6a +
c 3
0 11
. c _ d
12
12.
abc
144
13.
2 ( a
+ b
) 14
14
. 2c
_
b
6 15
. 14
4 -
abc
0
16.
2ab
24
17.
b _ 2 2
18
. a 2 9
19
. c 2 -
100
44
20.
a 3 + 3
30
21.
2 b 2
32
22.
b 3 +
c 7
6 23
. a 2 _
d
9 24
. 5 a
2 + 2
d 2 4
7
25.
4 d
2 _
b
1 26
. 15
_
a
5 27
. 3 a
2 27
28.
10 d 3
10
29.
ab
_
c
1 30
. ( a
+ b
) _
_
d 7
31
. 2.
5b +
c 2
2 32
. 10
_
d
10
33.
( 2
c +
b)
__
b
7
34.
( b 2
+ 2
d)
__
a
6
35.
( 2c
+ a
b)
__
c
3
36.
( 3.5
c +
2)
__
11
4
Extr
a Pr
acti
ce
66
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Extra Practice
Extr
a Pr
actic
eLe
sson
1-1
Pa
ges
25–2
9
Use
the
fou
r-st
ep p
lan
to s
olve
eac
h p
rob
lem
.
1.
The
Rey
es fa
mily
rod
e th
eir
bicy
cles
for
9 m
iles
to th
e pa
rk. T
he r
ide
back
was
alo
ng a
dif
fere
nt r
oute
for
14 m
iles.
How
man
y m
iles
did
th
ey r
ide
in a
ll? 2
3 m
i
2.
Fou
r hu
ndre
d s
ixty
peo
ple
are
sche
dul
ed to
att
end
a b
anqu
et. I
f eac
h ta
ble
seat
s 8
peop
le, h
ow m
any
tabl
es a
re n
eed
ed?
3.
A g
roup
of 2
51 p
eopl
e is
eat
ing
din
ner
at a
sch
ool f
und
-rai
ser.
If e
ach
pers
on p
ays
$8.0
0 fo
r th
eir
mea
l, ho
w m
uch
mon
ey is
rai
sed
? $2
,008
4.
She
rita
’s s
ervi
ce c
harg
es a
mon
thly
fee
of $
20.0
0 pl
us $
0.15
per
m
inut
e. O
ne m
onth
ly b
ill is
$31
.25.
How
man
y m
inut
es d
id S
heri
ta
use
dur
ing
the
mon
th?
75 m
in
5.
AB
C C
ar R
enta
l cha
rges
$25
per
day
to r
ent a
mid
-siz
ed c
ar p
lus
$0.2
0 pe
r m
ile d
rive
n. M
r. R
uiz
rent
s a
mid
-siz
ed c
ar fo
r 3
days
and
dri
ves
a to
tal o
f 72
mile
s. F
ind
the
amou
nt o
f Mr.
Rui
z’s
bill.
$89
.40
Less
on 1
-2
Page
s 30
–33
Wri
te e
ach
pow
er a
s a
pro
du
ct o
f th
e sa
me
fact
or.
1.
13 4 1
3 · 1
3 · 1
3 · 1
3 2.
9 6 9
· 9
· 9
· 9
· 9
· 9
3.
1 7 1
· 1
· 1
· 1
· 1
· 1
· 1
4.
12 2 1
2 · 1
2 5.
5 8 5
· 5
· 5
· 5
· 5
· 5
· 5
· 5
6.
15 4 1
5 · 1
5 · 1
5 · 1
5
Eva
luat
e ea
ch e
xpre
ssio
n.
7.
5 6 1
5,62
5 8.
17 3 4
,913
9.
2 12
4,0
96
10.
3 5 243
11.
1 4 1
12
. 5 3 1
25
13.
10 2 1
00
14.
2 8 256
15.
8 2 64
16.
7 4 2,4
01
17.
20 3 8
,000
18
. 42
3 74,
088
Wri
te e
ach
pro
du
ct in
exp
onen
tial
for
m.
19.
2 ·
2 · 2
· 2
· 2 2
5 20
. 3
· 3 3
2 21
. 1
· 1 ·
1 · 1
· 1
· 1 1
6
22.
18
· 18
· 18
· 18
18 4
23.
9 · 9
· 9
· 9 ·
9 · 9
· 9
· 9 9
8 24.
10
· 10
· 10
· 10
· 10
· 10
Less
on 1
-3
Page
s 34
–37
Fin
d th
e sq
uar
e of
eac
h n
um
ber
.
1.
4 1
6 2.
19
361
3. 1
3 16
9 4.
25
625
5.
9 8
1 6.
2 4
7.
14
196
8. 2
4 57
6
9.
40
1,60
0 10
. 50
2,5
00
11.
100
10,0
00
12.
250
62,5
00
Fin
d e
ach
sq
uar
e ro
ot.
13.
√
��
324
18
14.
√ �
�
900
30
15.
√ �
�
2,50
0 50
16
. √
��
576
24
17.
√
��
8,10
0 90
18
. √
��
676
26
19.
√ �
�
100
10
20.
√ �
�
784
28
21.
√
��
1,02
4 32
22
. √
��
841
29
23.
√ �
�
2,30
4 48
24
. √
��
3,02
5 55
58 ta
bles
58 ta
bles
10 6
10 6
66
8
Extr
a Pr
acti
ce
668_
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Extra Practice
Extra Practice 670–671
Extra Practice
Less
on 1
-10
Page
s 63
–67
Cop
y an
d c
omp
lete
eac
h f
un
ctio
n ta
ble
. Th
en id
enti
fy th
e d
omai
n a
nd
ra
nge
.
1.
x2x
y
02 (
0)
01
2 (1)
2
22 (
2)
43
2 (3)
6
dom
ain:
{0,
1, 2
, 3}
2.
x3x
+ 1
y
13 (
1) +
1
42
3 (2)
+ 1
73
3 (3)
+ 1
104
3 (4)
+ 1
13
do
mai
n: {
1, 2
, 3, 4
}
3.
xx
- 2
y
33 -
21
44 -
22
55 -
23
66 -
24
dom
ain:
{3,
4, 5
, 6}
4.
xx
+ 0
.1y
22 +
0.1
2.1
33 +
0.1
3.1
44 +
0.1
4.1
55 +
0.1
5.1
do
mai
n: {
2, 3
, 4, 5
}
Less
on 2
-1
Page
s 80
–83
Wri
te a
n in
tege
r fo
r ea
ch s
itu
atio
n.
1.
sev
en d
egre
es b
elow
zer
o 2.
a lo
ss o
f 3 p
ound
s -
3 3.
a lo
ss o
f 20
yard
s -
20
4.
a p
rofi
t of $
25 2
5 5.
112
°F a
bove
0 1
12
6. 2
,830
feet
abo
ve s
ea le
vel
Gra
ph
eac
h s
et o
f in
tege
rs o
n a
nu
mb
er li
ne.
7.
{-
2, 0
, 2}
8. {
1, 3
, 5}
9. {-
2, -
5, 3}
10. {7
, -1,
4}
Eva
luat
e ea
ch e
xpre
ssio
n.
11.
⎪1⎥
1
12.
⎪ -8⎥
8
13.
⎪ 0⎥
0 14
. ⎪ -
82⎥
82
15.
⎪64⎥
64
16.
⎪ -12
8⎥ 1
28
17.
⎪ -22⎥ +
5 2
7 18
. ⎪ -
40⎥ -
8 3
2
19.
⎪-
18⎥ +
⎪10⎥
28
20.
⎪ -7 ⎥ +
⎪-
1⎥ 8
21
. ⎪ 9
8⎥ -
⎪-
5⎥ 9
3 22
. ⎪ -
49⎥ -
⎪-
10⎥
Less
on 2
-2
Page
s 84
–87
Rep
lace
eac
h �
wit
h <
or >
to m
ake
a tr
ue
sen
ten
ce.
1.
7 �
-7
>
2. -
8 �
4 <
3.
-4 �
-9
>
4. -
3 �
0 <
5.
8 �
10
<
6. -
5 �
-4
<
7. 6
� -
7 >
8.-
12 �
-13
>
9.
3 �
1 >
10
. -
2 �
2 <
11
. 7 �
-1
>
12. -
15 �
-20
>
13.
-40
� 3
0 <
14
. 0 �
-3
>
15. -
5 �
0 <
16
. 85
� -
17 >
Ord
er th
e in
tege
rs f
rom
leas
t to
grea
test
.
17.
-2,
-8,
4, 1
0, -
6, -
12
18.
19, -
19, -
21, 3
2, -
14, 1
8
19.
18,
23,
95,
-95
, -18
, -23
, 2
20.
46, -
48, -
47, -
52, -
18, 1
2
21.
0, -
10, -
6, -
8, 1
2
22. -
15, 1
8, -
1, 0
, 14,
-20
rang
e: {
0, 2
, 4, 6
}ra
nge:
{0,
2, 4
, 6}
rang
e: {
4, 7
, 10,
13}
rang
e: {
4, 7
, 10,
13}
rang
e: {
1, 2
, 3, 4
}ra
nge:
{1,
2, 3
, 4}
rang
e: {
2.1,
3.1
, 4.1
, 5.1
}ra
nge:
{2.
1, 3
.1, 4
.1, 5
.1}
-7
-7
2,83
02,
830
7–10
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.7–
10. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
3939
17. -
12, -
8, -
6, -
2, 4
, 10
17. -
12, -
8, -
6, -
2, 4
, 10
18. -
21, -
19, -
14, 1
8, 1
9, 3
218
. -21
, -19
, -14
, 18,
19,
32
19. -
95, -
23, -
18, 2
, 18,
23,
95
19. -
95, -
23, -
18, 2
, 18,
23,
95
20. -
52, -
48, -
47, -
18, 1
2, 4
620
. -52
, -48
, -47
, -18
, 12,
46
-10
, -8,
-6,
0, 1
2-
10, -
8, -
6, 0
, 12
22. -
20, -
15, -
1, 0
, 14,
18
22. -
20, -
15, -
1, 0
, 14,
18
Extr
a Pr
acti
ce
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Extra Practice
Less
on 1
-7
Page
s 49
–52
Sol
ve e
ach
eq
uat
ion
men
tall
y.
1.
b +
7 =
12
5 2.
a +
3 =
15
12
3.s +
10 =
23
13
4. 9
+ n
= 1
3 4
5.
20 =
24 -
n 4
6.
4x =
36
9 7.
2y =
10
5 8.
15 =
5h
3
9.
j ÷ 3
= 2
6
10.
14 =
w -
4 1
8 11
. 24
÷ k
= 6
4
12.
b -
3 =
12
15
13.
c ÷
10 =
8 8
0 14
. 6 =
t ÷
5 3
0 15
. 14
+ m
= 2
4 10
16
. 3y
= 3
9 13
17.
f _ 2 =
12
24
18.
16 =
4v
4 19
. 81
= 8
0 +
a 1
20
. 9 =
72
_
x 8
21.
66 =
22m
3
22.
77 -
12 =
a 6
5 23
. 9k
= 8
1 9
24.
95 +
d =
100
5
25.
b =
72
_
6 12
26
.z =
15 +
22
37
27.
15b =
225
15
28.
43 +
s =
57
14
29.
4w
= 5
2 13
30
.e -
10 =
0 1
0 31
. 62
- d
= 1
2 50
32
. 14
f = 1
4 1
33.
48 ÷
n =
8 6
34
.a -
82 =
95
177
35.
x _ 2 = 3
6 72
36
. 99
= c
÷ 2
198
Less
on 1
-8 1
3–24
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x fo
r jus
tific
atio
n.Pa
ges
53–5
6
Use
the
Dis
trib
uti
ve P
rop
erty
to e
valu
ate
each
exp
ress
ion
.
1.
3 ( 4
+ 5)
27
2. (
2 +
8) 6
60
3. 4
( 9 -
6)
12
4.
8 ( 6
- 3)
24
5. 5
( 200
- 5
0) 7
50
6. 2
0 (3 +
6)
180
7.
(20
- 5) 8
120
8.
50 (
8 +
2)
300
9. 1
5 (1,
000 -
200)
12,0
00
10.
3 ( 2
,000
+ 4
00)
7,20
0 11
. 12
( 1,0
00 +
10)
12,
120
12.
7 (1,
000 -
50)
6,6
50
Fin
d e
ach
exp
ress
ion
men
tall
y. J
ust
ify
each
ste
p.
13.
(5 +
17)
+ 2
5 47
14
. 13
+ (
22 +
17)
52
15.
( 8 +
18)
+ 9
2 11
8
16.
(11
+ 3
2) +
9 5
2 17
. 4 +
(15
+ 7
6) 9
5 18
. ( 2
5 +
56)
+ 7
5 15
6
19.
(4 · 2
1) ·
25 2
,100
20
. 5 · (
40 ·
8) 1
,600
21
. ( 2
· 38) · 5
0 3,
800
22.
( 12 · 7) · 5
420
23
. 25
· ( 1
2 · 4)
1,20
0 24
. ( 1
5 · 9) · 2
270
Less
on 1
-9 1
–24.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.Pa
ges
57–6
1
Des
crib
e th
e re
lati
onsh
ip b
etw
een
the
term
s in
eac
h a
rith
met
ic
seq
uen
ce. T
hen
wri
te th
e n
ext t
hre
e te
rms
in e
ach
seq
uen
ce.
1.
5, 9
, 13,
17,
…
2. 3
, 5, 7
, 9, …
3.
10,
15,
20,
25,
…
4.
90,
93,
96,
99,
…
5. 8
, 14,
20,
26,
…
6. 4
.5, 5
.4, 6
.3, 7
.2, …
7.
0.3
, 0.4
, 0.5
, …
8. 2
.3, 3
.4, 4
.5, 5
.6, …
9.
8.9
, 9.1
, 9.3
, 9.5
, …
10.
3, 1
1, 1
9, 2
7, …
11
. 35
0, 3
75, 4
00, 4
25, …
12
. 62
0, 6
35, 6
50, 6
65, …
13.
2, 7
, 12,
17,
…
14.
10, 1
7, 2
4, 3
1, …
15
. 0,
7, 1
4, 2
1, …
16.
1, 7
, 13,
19,
…
17.
95, 1
01, 1
07, 1
13, …
18
. 9,
90,
171
, 252
, …
19.
2.6
, 2.8
, 3.0
, 3.2
, …
20.
4.1,
4.6
, 5.1
, 5.6
, …
21.
6.6,
7.7
, 8.8
, 9.9
, …
22.
19.
5, 2
1, 2
2.5,
24,
…
23.
14.5
, 14.
8, 1
5.1,
15.
4, …
24
. 0.
1, 0
.4, 0
.7, 1
.0, …
67
0
Extr
a Pr
acti
ce
670_
0668
_068
5_E
M_8
7404
667
010
/2/0
712
:51:
08P
M
2_0668_0703_EM-874048 22_0668_0703_EM-874048 2 11/29/07 6:20:25 PM11/29/07 6:20:25 PM
Extr
a Pr
actic
e
672–673 Extra Practice
Extra Practice
2.
TIM
E D
eter
min
e th
e ne
xt tw
o ti
mes
in
the
patt
ern
belo
w.
3:50
A.M
., 4:
10 A
.M.
2:3
0 a.
m.,
2:50
a.m
., 3:
10 a
.m.,
3:30
a.m
., …
4.
SCI
ENCE
A s
ingl
e ro
tati
on o
f Ear
th ta
kes
abou
t 24
hour
s. C
opy
and
com
plet
e th
e ta
ble
to d
eter
min
e th
e nu
mbe
r of
hou
rs
in a
wee
k.
Num
ber o
f Day
sN
umbe
r of H
ours
124
248
372
4 5 6 7
9696 120
120
144
144
168
168
Less
on 2
-6
Page
s 10
7–11
1
Mu
ltip
ly.
1.
5 ( -
2) -
10
2. 6
( -4)
-24
3.
4 ( 2
1) 8
4 4.
-11
( -5)
55
5.
-6 (
5) -
30
6.-
50 ( 0
) 0
7.-
5 (-
5) 2
5 8.
-4 (
8) -
32
9.
3 ( -
13)
-39
10
. 12
( -5)
-60
11
.-
9 (-
12)
108
12.
15 ( -
8) -
120
13.
(-
6) 2 3
6 14
. (-
2) 2 4
15
. (-
4) 3 -
64
16.
(-5)
3 -12
5
Eva
luat
e ea
ch e
xpre
ssio
n if
a =
-5,
b =
2, c
= -
3, a
nd
d =
4.
17.
-2d
-8
18.
6a -
30
19.
3ab
-30
20
. -
12d
-48
21.
-4 b
2 -
16
22.
-5c
d 60
23
. a 2 2
5 24
. 13
ab -
130
Less
on 2
-7
Page
s 11
2–11
3
Sol
ve u
sin
g th
e lo
ok fo
r a
patt
ern
stra
tegy
.
1.
NUM
BERS
Det
erm
ine
the
next
thre
e nu
mbe
rs in
the
patt
ern
belo
w.
15, 2
1, 2
7, 3
3, 3
9, …
3.
MO
NEY
The
tabl
e sh
ows
Abi
gail’
s sa
ving
s. If
the
patt
ern
cont
inue
s,
wha
t will
be
the
tota
l am
ount
in
wee
k 6?
$2,
400
Wee
kTo
tal (
$)
1$4
00
2$8
00
3$1
,200
4$1
,600
5$2
,000
6
45, 5
1, 5
745
, 51,
57
Less
on 2
-8
Page
s 11
4–11
8
Div
ide.
1.
4 ÷
(-
2) -
2 2.
16
÷ (
-8)
-2
3. -
14 ÷
(-
2) 7
4.
32
_
8
4
5.
18
÷ (
-3)
-6
6. -
18 ÷
3 -
6 7.
8 ÷
(-
8) -
1 8.
0 ÷
(-
1) 0
9.
-25
÷ 5
-5
10.
-14
_
-7
2 11
. -
32 ÷
8 -
4 12
. -
56 ÷
(-
8) 7
13.
-81
÷ 9
-9
14.
-42
÷ (
-7)
6
15.
121
÷ (
-11
) -
11 1
6. -
81 ÷
(-
9) 9
17.
18
÷ (
-2)
-9
18.
-55
_
11
-5
19.
25
_
-5
-5
20.
-21
÷ 3
-7
Eva
luat
e ea
ch e
xpre
ssio
n if
a =
-2,
b =
-7,
x =
8, a
nd
y =
-4.
21.
-64
÷ x
-8
22.
16
_
y -
4 23
. x
÷ 2
4
24.
a _ 2 -1
25.
ax
÷ y
4
26.
bx
_
y 14
27
. 2y
÷ 1
-8
28.
x _
ay
1
29.
-y
÷ a
-2
30.
x 2 ÷ y
-16
31
. ab
_
1
14
32.
xy
_
a 16 Ex
tra
Prac
tice
6
73
673_
0668
_068
5_E
M_8
7404
667
310
/2/0
712
:51:
15P
M
Extra Practice
Less
on 2
-3
Page
s 88
–92
Wri
te th
e or
der
ed p
air
for
each
poi
nt g
rap
hed
at t
he
righ
t. T
hen
nam
e th
e q
uad
ran
t or
axis
on
wh
ich
eac
h p
oin
t is
loca
ted
.
1.
A (
3, -
1 ) , I
V 2.
B (
-2,
2) , I
I 3.
C (
0, -
1 ) , y
-axi
s
y
xO O
GDJ
K
A
LF
CE
IHB
4.
D (
3, 2) , I
5.
E (
-2,
-1 )
, III
6.F
(1, -
2 ) , I
V
7.
G (
1, 1) , I
8.
H (
-3,
1) , I
I 9.
I (-
1, 0) , x
-axi
s
10.
J (4
, 3) , I
11
.K
(3,
4) , I
12
.L
(2, -
3 ) , I
V
On
gra
ph
pap
er, d
raw
a c
oord
inat
e p
lan
e. T
hen
gra
ph
an
d la
bel
eac
h p
oin
t.
13.
N ( -
4, 3
) 14
.K
( 2, 5
) 15
.W
( -6,
-2)
16
. X
( 5, 0
)
17.
Y ( 4
, -4)
18
. M
( 0, -
3)
19.
Z ( -
2, 0
.5)
20.
S (-
1, -
3)
21.
A ( 0
, 2)
22.
C ( -
2, -
2)
23.
E ( 0
, 1)
24.
G ( 1
, -1)
Less
on 2
-4
Page
s 95
–99
Ad
d.
1.
-4
+ 8
4
2. 1
4 +
16
30
3.-
7 +
(-
7) -
14
4.
-9
+ (
-6)
-15
5.
-18
+ 1
1 -
7 6.
-36
+ 4
0 4
7.
42
+ (
-18
) 24
8.
-42
+ 2
9 -
13
9. 1
8 +
(-
32)
-14
10.
12
+ (
-9)
3
11.
-24
+ 9
-15
12
.-
7 +
(-
1) -
8
Eva
luat
e ea
ch e
xpre
ssio
n if
a =
6, b
= -
2, c
= -
6, a
nd
d =
3.
13.
-96
+ a
-90
14
. b
+ (
-5)
-7
15.
c +
(-
32)
-38
16.
d +
98
101
17.
-12
0 +
b -
122
18.
-12
0 +
c -
126
19.
5 +
b 3
20
. a
+ d
9
21.
c +
a 0
22.
d +
(-
9) -
6 23
. b
+ c
-8
24.
d +
c -
3
Less
on 2
-5
Page
s 10
3–10
6
Su
btr
act.
1.
3 -
7 -
4 2.
-5
- 4
-9
3. -
6 -
2 -
8
4.
8 -
13
-5
5. 6
- (
-4)
10
6. 1
2 -
9 3
7.
-2
- 2
3 -
25
8. 6
3 -
78
-15
9.
0 -
(-
14)
14
10.
15
- 6
9
11.
18 -
20
-2
12.
-5
- 8
-13
13.
21
- (
-37
) 58
14
. -
60 -
32
-92
15
. 57
- 6
3 -
6
Eva
luat
e ea
ch e
xpre
ssio
n if
k =
-3,
p =
6, n
= 1
, an
d d
= -
8.
16.
55
- k
58
17.
p -
7 -
1 18
. d
- 1
5 -
23
19.
n -
12
-11
20
. -
51 -
d -
43
21.
k -
21
-24
22.
n -
k 4
23
. -
99 -
k -
96
24.
p -
k 9
25.
d -
(-
1) -
7 26
. k
- d
5
27.
n -
d 9
13–2
4. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
13–2
4. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
67
2
Extr
a Pr
acti
ce
672_
0668
_068
5_E
M_8
7404
667
210
/2/0
712
:51:
12P
M
3_0668_0703_EM-874048 33_0668_0703_EM-874048 3 11/29/07 6:20:31 PM11/29/07 6:20:31 PM
Extra Practice
Extra Practice 674–675
Extra Practice
Less
on 3
-4
Page
s 14
8–14
9
Use
the
wor
k ba
ckw
ard
stra
tegy
to s
olve
eac
h p
rob
lem
.
1.
NUM
BERS
A n
umbe
r is
div
ided
by
2.
The
n 4
is a
dd
ed to
the
quot
ient
. Nex
t, th
e su
m o
f the
se n
umbe
rs is
mul
tipl
ied
by
3. T
he r
esul
t is
21. F
ind
the
num
ber.
3.
DVD
s Ja
ck r
ente
d 2
tim
es a
s m
any
DV
Ds
as P
alom
a la
st m
onth
. Pal
oma
rent
ed 4
few
er th
an G
reg,
but
4 m
ore
than
Gra
ce. G
reg
rent
ed 9
DV
Ds.
How
m
any
DV
Ds
did
eac
h pe
rson
ren
t?
5.
FO
OD
Aft
er fo
ur d
ays,
0.5
pou
nd o
f lu
nch
mea
t was
left
in th
e re
frig
erat
or.
If h
alf t
his
amou
nt w
as e
aten
on
each
of
the
prev
ious
four
day
s, h
ow m
uch
lunc
h m
eat w
as in
itia
lly in
the
refr
iger
ator
? 1.
5 lb
2.
MO
NEY
Hol
ly s
pent
$13
.76
on a
bi
rthd
ay p
rese
nt fo
r he
r m
om. S
he
also
spe
nt $
3.25
on
a sn
ack
for
hers
elf.
If s
he n
ow h
as $
7.74
, how
muc
h m
oney
d
id s
he h
ave
init
ially
? $2
4.75
4.
TIM
E A
por
tion
of a
shu
ttle
bus
sc
hed
ule
is s
how
n. W
hat i
s th
e ea
rlie
st ti
me
afte
r 9
a.m
. whe
n th
e bu
s d
epar
ts?
9:43
A.M
.
Depa
rts
Arriv
es
8:55
A.M
.9:
20 A
.M.
?10
:08
A.M
.
10:3
1A.
M.
10:5
6 A.
M.
11:1
9A.
M.
11:4
4 A.
M.
66
★★
3. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
3. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
★★
Less
on 3
-5
Page
s 15
1–15
5
Sol
ve e
ach
eq
uat
ion
. Ch
eck
you
r so
luti
on.
1.
3x
+ 6
= 6
0
2. 2
r -
7 =
-1
3 3.
-10
+ 2
d =
8 9
4.
2b
+ 4
= -
8 -
6 5.
5w
- 1
2 =
3 3
6.
5t -
4 =
6 2
7.
2q
- 6
= 4
5
8. 2
g -
3 =
-9
-3
9. 1
5 =
6y
+ 3
2
10.
3s
- 4
= 8
4
11.
18 -
7f =
4 2
12
. 13
+ 3
p =
7 -
2
13.
7.5
r +
2 =
-28
-4
14.
4.2
+ 7
z =
2.8
-0.
2 15
. -
9m -
9 =
9 -
2
16.
32
+ 0
.2c
= 1
-15
5 17
. 5t
- 1
4 =
-14
0
18.
-0.
25x
+ 0
.5 =
4 -
14
19.
5w
- 4
= 8
2.4
20
. 4d
- 3
= 9
3
21.
2g -
16
= -
9 3.
5
22.
4k
+ 1
3 =
20
1.75
23
. 7
= 5
- 2
x -
1 24
. 8z
+ 1
5 =
-1
-2
25.
92
- 1
6b =
12
5 26
. 14
e +
14
= 2
8 1
27.
1.1j
+ 2
= 7
.5 5
Less
on 3
-6 6
, 8. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
Pa
ges
156–
161
Fin
d th
e p
erim
eter
an
d a
rea
of e
ach
rec
tan
gle.
1.
8
yd
3 yd
2.
12.2
cm
15.5
cm
3.
5
in.
2 3
10
in.
3 4
4.
� =
80
yd, w
= 2
0 yd
200
yd;
1,6
00 y
d 2 5.
� =
75
cm, w
= 2
5 cm
200
cm
; 1,8
75 c
m 2
6.
� =
5.2
5 km
, w =
1.5
km
7.
� =
8.6
cm
, w =
2.5
cm
8.
� =
20.
25 m
, w =
4.7
5 m
9.
� =
12
ft, w
= 3
ft 3
0 ft;
36
ft 2
10.
� =
5 1 _ 4 m
i, w
= 2
1 _ 2 mi
15 1 _ 2 m
i; 13
1 _ 8 m i 2
11
. � =
10 2 _ 3 f
t, w
= 5
5 _ 6 ft
33 ft
; 62 2 _ 9 f
t 2
22 y
d; 2
4 y d
2 22
yd;
24
y d 2
55.4
cm
; 189
.1 c
m 2
55.4
cm
; 189
.1 c
m 2
32 5 _ 6 in
.; 60
11 _ 12 in
2 32
5 _ 6 in.;
60 11
_ 12 in
2 22.2
cm
; 21.
5 cm
2 22
.2 c
m; 2
1.5
cm 2
Extr
a Pr
acti
ce
67
5
675_
0668
_068
5_E
M_8
7404
667
510
/2/0
712
:51:
20P
M
Extra Practice
Less
on 3
-1 1
–20.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.Pa
ges
128–
133
Wri
te e
ach
ph
rase
as
an a
lgeb
raic
exp
ress
ion
.
1.
six
less
than
p
2. t
wen
ty m
ore
than
c
3. t
he q
uoti
ent o
f a a
nd b
4.
Jua
na’s
age
plu
s 6
5.x
incr
ease
d b
y tw
elve
6.
$1,
000
div
ided
by
z
7.
3 d
ivid
ed in
to y
8.
the
pro
duc
t of 7
and
m
9. t
he d
iffe
renc
e of
f an
d 9
10.
tw
enty
-six
less
q
11.
19 d
ecre
ased
by
z 12
. tw
o le
ss th
an x
Wri
te e
ach
sen
ten
ce a
s an
alg
ebra
ic e
qu
atio
n.
13.
Thr
ee ti
mes
a n
umbe
r le
ss fo
ur is
17.
14
. T
he s
um o
f a n
umbe
r an
d 6
is 5
.
15.
Tw
enty
mor
e th
an tw
ice
a nu
mbe
r
16.
The
quo
tien
t of a
num
ber
and
is
-30
. -
2 is
-42
.
17.
Fou
r pl
us th
ree
tim
es a
num
ber
is 1
8.
18.
Five
tim
es a
num
ber
min
us 1
5 is
92.
19.
Eig
ht ti
mes
a n
umbe
r pl
us tw
elve
20
. T
he d
iffe
renc
e of
a n
umbe
r an
d
is 3
6.
24
is -
30.
Less
on 3
-2
Page
s 13
6–14
1
Sol
ve e
ach
eq
uat
ion
. Ch
eck
you
r so
luti
on.
1.
r -
3 =
14
17
2.t +
3 =
21
18
3.s
+ 1
0 =
23
13
4.
7 +
a =
-10
-17
5.
14
+ m
= 2
4 10
6.
-9
+ n
= 1
3 22
7.
s -
2 =
-6
-4
8. 6
+ f
= 7
1 65
9.
x +
27
= 3
0 3
10.
a -
7 =
23
30
11.
-4
+ b
= -
5 -
1 12
.w
+ 1
8 =
-4
-22
13.
k -
9 =
-3
6 14
.j +
12
= 1
1 -
1 15
.-
42 +
v =
-42
0
16.
s +
1.3
= 1
8 16
.7
17.
x +
7.4
= 2
3.5
16.1
18
.p
+ 3
.1 =
18
14.9
19.
w -
3.7
= 4
.63
8.33
20
.m
- 4
.8 =
7.4
12.
2 21
. x
- 1
.3 =
12
13.3
22.
y +
3.4
= 1
8 14
.6
23.
7.2
+ g
= 9
.1 1
.9
24.
z -
12.
1 =
14
26.1
25.
v -
18
= 1
3.7
31.7
26
. w
- 0
.1 =
0.3
2 0.
42
27.
r +
6.7
= 1
.2 -
5.5
Less
on 3
-3
Page
s 14
2–14
6
Sol
ve e
ach
eq
uat
ion
. Ch
eck
you
r so
luti
on.
1.
2m
= 1
8 9
2. -
42 =
6n
-7
3. 7
2 =
8k
9
4.
-20
r =
20
-1
5. 4
20 =
5s
84
6. 3
25 =
25t
13
7.
-14
= -
2p 7
8.
18q
= 3
6 2
9. 4
0 =
10a
4
10.
100
= 2
0b 5
11
. 41
6 =
4c
104
12.
45 =
9d
5
13.
0.5
m =
3.5
7
14.
1.8
= 0
.6x
3 15
. 0.
4y =
2 5
16.
1.8
6 =
6.2
z 0.
3 17
.-
8x =
24
-3
18.
8.34
= 2
r 4.
17
19.
1.6
7t =
10.
02 6
20
. 24
3 =
27a
9
21.
0.9x
= 4
.5 5
22.
4.0
8 =
1.2
y 3.
4 23
. 8d
= 1
12 1
4 24
. 5f
= 1
80.5
36.
1
25.
59.
66 =
3.1
4m 1
9 26
. 98
.4 =
8p
12.3
27
. 20
8 =
26k
8
67
4
Extr
a Pr
acti
ce
674_
0668
_068
5_E
M_8
7404
667
410
/2/0
712
:51:
18P
M
4_0668_0703_EM-874048 44_0668_0703_EM-874048 4 11/29/07 6:20:38 PM11/29/07 6:20:38 PM
Extr
a Pr
actic
e
676–677 Extra Practice
Extra Practice
Less
on 4
-3
Page
s 19
0–19
1
Use
the
mak
e a
list
str
ateg
y to
sol
ve e
ach
pro
ble
m.
1.
MEA
SURE
MEN
T G
abri
el h
as to
mak
e d
eliv
erie
s to
thre
e ne
ighb
ors.
He
lives
at
hou
se b
on
the
map
. Fin
d th
e sh
orte
st r
oute
to m
ake
the
del
iver
ies
and
ret
urn
hom
e?
a
0.75
mi
0.75
mi
1 m
i0.
5 m
i 0.5
mi
0.25
mi
b d
c
2.
FO
OD
Dan
iel i
s m
akin
g a
pean
ut
butt
er a
nd je
lly s
and
wic
h. H
is c
hoic
es
are
crea
my
or c
runc
hy p
eanu
t but
ter,
whi
te o
r w
heat
bre
ad, a
nd g
rape
, ap
ple,
or
stra
wbe
rry
jelly
. How
man
y d
iffe
rent
type
s of
san
dw
iche
s ca
n D
anie
l mak
e? 1
2
3.
GAM
ES O
n th
e ga
me
boar
d, y
ou p
lan
to m
ove
two
spac
es a
way
from
squ
are
A. Y
ou c
an m
ove
hori
zont
ally
, ve
rtic
ally
, or
dia
gona
lly. H
ow m
any
dif
fere
nt m
oves
can
you
mak
e fr
om
squa
re A
? L
ist t
hem
. Sa
mpl
e an
swer
: b–a
–d–c
–b; 2
.25
mi
Sam
ple
answ
er: b
–a–d
–c–b
; 2.2
5 m
i
3. 1
5; A
–B–C
, A–B
–F, A
–B–E
, A–B
–D,
A–D–
G, A
–D–H
, A–D
–E, A
–D–B
, A–E
–I,
A–E–
F, A–
E–C,
A–E
–B, A
–E–H
, A–E
–G,
A–E–
D
3. 1
5; A
–B–C
, A–B
–F, A
–B–E
, A–B
–D,
A–D–
G, A
–D–H
, A–D
–E, A
–D–B
, A–E
–I,
A–E–
F, A–
E–C,
A–E
–B, A
–E–H
, A–E
–G,
A–E–
DLe
sson
4-4
Pa
ges
192–
195
Wri
te e
ach
fra
ctio
n in
sim
ple
st f
orm
.
1.
14
_
28
1 _ 2
2.
15
_
25
3 _ 5 3.
10
0 _
13
0 10
_ 13
4.
14
_
35
2 _ 5 5.
9 _
51
3 _ 17
6.
54
_
56
27
_ 28
7.
75
_
90
5 _ 6 8.
24
_
40
3 _ 5
9.
180
_
270
2 _ 3 10
. 31
2 _
39
0 4 _ 5
11.
24
0 _
44
8 15
_ 28
12.
71
_
82
71 _ 82
13.
333
_
900
37
_
100
14.
85
_
255
1 _ 3 15
. 84
_
12
8 21
_ 32
16.
64
_
96
2 _ 3
17.
99
_
99 1
18
. 3 _
99
1 _ 33
19
. 44
_
55
4 _ 5
20.
57
_
69
19 _ 23
21.
15
_
37
15
_ 37
22.
204
_
408
1 _ 2 23
. 5 _
12
5 1 _ 25
24
. 14
4 _
21
6 2 _ 3
25.
15
_
75
1 _ 5
Less
on 4
-5
Page
s 19
6–20
0
Wri
te e
ach
fra
ctio
n o
r m
ixed
nu
mb
er a
s a
dec
imal
. Use
bar
not
atio
n if
th
e d
ecim
al is
a r
epea
tin
g d
ecim
al.
1.
16
_
20
0.8
2.
30
_
12
0 0.2
5 3.
1 7 _ 8 1
.875
4.
1 _ 6 0
.1 −
6
5.
11
_
40
0.2
75
6. 5
13
_
50 5
.26
7.
55
_
300 0
.18 −
3 8.
1 1 _ 2 1
.5
9.
5 _ 9 0
. −
5 10
. 2 3 _ 4 2
.75
11.
9 _
11
0. −
−
81
12
. 4 1 _ 9 4
. −
1
Wri
te e
ach
dec
imal
as
a fr
acti
on o
r m
ixed
nu
mb
er in
sim
ple
st f
orm
.
13.
0.2
6 13
_ 50
14.
0.75
3 _ 4 15
. 0.
4 2 _ 5
16.
0.1
1 _ 10
17.
4.4
8
18.
9.8
19
. 0.
91
20.
11.1
5 4 12
_ 25
4 12 _ 25
9 4 _ 5 9 4 _ 5
91
_
100
91
_
100
11 3 _ 20
11
3 _ 20
Extr
a Pr
acti
ce
67
7
677_
0668
_068
5_E
M_8
7404
6 6
7710
/2/0
7 1
2:51
:29
PM
Extra Practice
Less
on 3
-7 1
–11.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
Page
s 16
3–16
7
Gra
ph
the
fun
ctio
n r
epre
sen
ted
by
the
tab
le.
1.
Tota
l Cos
t of T
enni
s Ba
lls
Num
ber o
f Te
nnis
Bal
lsTo
tal C
ost (
$)
36
48
510
612
2.Co
nver
t Gal
lons
to Q
uart
s
Gallo
nQ
uart
s
14
28
312
416
Gra
ph
eac
h e
qu
atio
n.
3.
y =
3x
4.y =
2x +
3
5.y =
-x
6.
y =
0.5
x +
2
7.y =
-x +
3
8.y =
0.2
5x +
6
9.
y =
-3x
+ 6
10
.y =
-x +
1
11.
y =
5 -
0.5
x
Less
on 4
-1
Page
s 18
1–18
4
Det
erm
ine
wh
eth
er e
ach
nu
mb
er is
pri
me
or c
ompo
site
.
1.
32
com
posi
te
2. 4
1 pr
ime
3. 5
2 co
mpo
site
4.
21
com
posi
te
5. 7
1 pr
ime
6. 1
02 c
ompo
site
7.
239
prim
e 8.
93
com
posi
te
9. 1
23 c
ompo
site
Fin
d th
e p
rim
e fa
ctor
izat
ion
of
each
nu
mb
er.
10.
81
3 4 11
. 72
2 3 ×
3 2
12.
144
2 4 × 3
2
13.
245
5 ×
7 2
14.
423
3 2 × 4
7 15
. 52
5 3
× 5
2 × 7
16.
750
2 ×
3 ×
5 3
17.
914
2 ×
457
18
. 97
5 3
× 5
2 × 1
3
Fact
or e
ach
exp
ress
ion
. 19
–24
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
19.
35x
y 20
. 14
a 2 21
. 30
n
22.
27 c
d 2
23.
4 s 2 t 2
24.
60 p 2 qr
Less
on 4
-2
Page
s 18
6–18
9
Fin
d th
e G
CF
of e
ach
set
of
nu
mb
ers.
1.
12,
16
4 2.
63,
81
9 3.
225
, 500
25
4.
37,
100
1
5. 3
2, 2
40 1
6 6.
412
, 640
4
7.
36,
81
9 8.
140
, 350
70
9. 7
2, 1
70 2
10.
12, 1
8, 4
2 6
11.
24, 5
6, 1
20 8
12
. 48
, 60,
84
12
13.
32,
80,
96
16
14.
14, 4
9, 7
0 7
15.
8, 1
0, 2
0 2
Fin
d th
e G
CF
of e
ach
set
of
exp
ress
ion
s.
16.
18b
, 24b
6b
17.
2a, 3
a a
18.
5n, 5
mn
5n
19.
12c
d, 2
4c 1
2c
20.
30x,
50 x
2 10x
21
. 15
az, 2
5az
5az
22.
2c,
4ac
, 8a
2 23
.d,
6 c 2 d,
12d
d
24.
10ab
, 15b
c, 2
0 b 2
5b
67
6
Extr
a Pr
acti
ce
676_
0668
_068
5_E
M_8
7404
667
610
/2/0
712
:51:
27P
M
5_0668_0703_EM-874048 55_0668_0703_EM-874048 5 11/29/07 6:20:44 PM11/29/07 6:20:44 PM
Extra Practice
Extra Practice 678–679
Extra Practice
Less
on 4
-9
Page
s 21
5–22
0
Rep
lace
eac
h �
wit
h <
, >
, or
= to
mak
e a
tru
e se
nte
nce
.
1.
- 1 _ 5 �
- 3 _ 5
>
2.-
7 _ 8 � -
5 _ 8 <
3.
- 1 _ 6 �
- 5 _ 6 >
4.
- 3 _ 4 �
- 1 _ 4
<
5.
-2 1 _ 4 �
-2 2 _ 8 =
6.
-4 3 _ 7 �
-4 2 _ 7
<
7. -
1 4 _ 9 � -
1 8 _ 9 >
8.
-3 4 _ 5 �
-3 2 _ 5
<
9.
7 _ 9 �
3 _ 5 >
10
. 14
_
25
� 3 _ 4
<
11.
8 _
24
� 20
_
60
=
12.
5 _
12
� 4 _ 9
<
13.
18
_
24
� 10
_
18
>
14
. 4 _ 6 �
5 _ 9 >
15
. 11
_
49
� 12
_
42
<
16
. 5 _
14
� 2 _ 6
>
Ord
er e
ach
set
of
nu
mb
ers
from
leas
t to
grea
test
.
17.
70%
, 0.6
, 2 _ 3 0.6
, 2 _ 3 , 70%
18
. 0.
8, 17
_
20
, 17%
17%
, 0.8
, 17 _ 20
19.
61
_
100 , 0
.65,
61.
5%
20.
0. −−
42
, 3 _ 7 , 42%
42%
, 0. −
−
42
, 3 _ 7 21.
2.1
5, 2
.105
, 2 7 _
50
22
. 7 1 _ 8 , 7
.81,
7.1
8
Less
on 5
-1
Page
s 23
0–23
5
Est
imat
e. 1
–27.
Sam
ple
answ
ers
are
give
n.
1.
3 _ 7 +
6
_
8 1 _ 2 +
1 =
1 1 _ 2
2.
3 _ 9 + 7 _ 8
1 _ 2 + 1
= 1
1 _ 2 3.
1 _ 8 +
8 _ 9 0 +
1 =
1
4.
3 1 _ 8 +
7 6 _ 7 3
+ 8
= 1
1 5.
4 2 _ 3 +
6 7 _ 8 5
+ 7
= 1
2 6.
3 2 _ 3 ×
2 1 _ 3 4
× 2
= 8
7.
4 _ 5 ·
3 1
· 3
= 3
8.
9 7 _ 8 -
6 2 _ 3 1
0 -
7 =
3
9.
3 _ 7 - 1 _
15
1 _ 2 -
0 =
1 _ 2
10.
3 _ 4 ·
7 _ 8 1 ·
1 =
1
11.
7 1 _ 4 ÷ 2 _ 3 7
÷ 1
= 7
12
. 5 _ 6 ÷
2 _ 3 1 ÷
1 =
1
13.
9 3 _ 5 +
3 1 _ 8 1
0 +
3 =
13
14.
5 1 _ 3 - 2
3 _ 4 5 -
3 =
2
15.
13 7 _ 8 -
2 1 _ 3 1
4 -
2 =
12
16.
13
_
15
· 3 _ 8 1
· 1 _ 2 =
1 _ 2 17
. 1 _ 9 ÷
2 0
÷ 2
= 0
18
. 5 _ 8 -
1 _
16
1 _ 2 -
0 =
1 _ 2
19.
9 2 _ 3 +
4 7 _ 8 1
0 +
5 =
15
20.
1 _ 2 · 2
5 1 _ 2 ·
26 =
13
21.
35 1 _ 3 ÷
6 3 _ 4 3
5 ÷
7 =
5
Less
on 5
-2
Page
s 23
6–24
1
Ad
d o
r su
btr
act.
Wri
te in
sim
ple
st f
orm
.
1.
5 _
11
+ 9 _
11
1 3 _ 11
2.
5 _ 8 -
1 _ 8 1 _ 2
3.
7 _
10
+ 7 _
10
1 2 _ 5
4.
9 _
12
- 5 _
12
1 _ 3
5.
2 _ 9 + 1 _ 3
5 _ 9 6.
1 _ 2 +
3 _ 4 1 1 _ 4
7.
1 _ 4 -
3 _
12
0
8.
3 _ 7 + 6 _
14
6 _ 7
9.
1 _ 4 + 3 _ 5
17 _ 20
10.
4 _ 9 +
1 _ 2 17
_ 18
11.
5 _ 7 - 4 _ 6
1 _ 21
12.
3 _ 4 - 1 _ 6
7 _ 12
13.
3 _ 5 +
3 _ 4 1 7 _ 20
14
. 2 _ 3 -
1 _ 8 13
_ 24
15.
9 _
10
+ 1 _ 3 1
7 _ 30
Eva
luat
e ea
ch e
xpre
ssio
n if
a =
2 _ 3 a
nd
b =
7 _
12
.
16.
1 _ 5 +
a 13
_ 15
17.
a -
1 _ 2 1 _ 6
18.
b +
7 _ 8 1 11
_ 24
19.
7 _ 8 -
a
5 _ 24
20.
a +
b 1
1 _ 4 21
. a
- b
1 _ 12
19.
61
_
100 , 6
1.5%
, 0.6
519
. 61
_
10
0 , 61.
5%, 0
.65
2.10
5, 2
7 _ 50 , 2
.15
2.10
5, 2
7 _ 50 , 2
.15
7 1 _ 8 , 7.1
8, 7
.81
7 1 _ 8 , 7.1
8, 7
.81 Ex
tra
Prac
tice
6
79
679_
0668
_068
5_E
M_8
7404
667
910
/2/0
712
:51:
35P
M
Extra Practice
Less
on 4
-6
Page
s 20
2–20
5
Wri
te e
ach
rat
io a
s a
per
cen
t.
1.
39
out o
f 100
39%
2.
23
_
10
0 23%
3.
17:
100
17%
4.
72
per
100
72%
5.
4 to
100
4%
6.
98
in 1
00 9
8%
Wri
te e
ach
fra
ctio
n a
s a
per
cen
t.
7.
1 _ 2 5
0%
8.
2 _ 5 40%
9.
60
_
10
0 60%
10
. 17
_
20
85%
11.
7 _
25
28%
12
. 1 _
20
5%
13
. 8 _
10
0 8%
14
. 7 _ 7 1
00%
15.
9 _
10
90%
16
. 1 _
10
0 1%
17
. 50
_
50
100
%
18.
49
_
50 9
8%
Wri
te e
ach
per
cen
t as
a fr
acti
on in
sim
ple
st f
orm
.
19.
12%
3 _ 25
20
. 23
%
23
_
100
21.
1%
1 _
100
22.
94%
47 _ 50
23.
36%
24
. 4%
25
. 72
%
26.
100%
1
27.
65%
13 _ 20
28.
47%
29
. 15
%
3 _ 20
30.
48%
12 _ 25
Less
on 4
-7
Page
s 20
6–21
0
Wri
te e
ach
per
cen
t as
a d
ecim
al.
1.
42%
0.4
2 2.
100
% 1
.0
3. 8
% 0
.08
4. 2
0% 0
.2
5.
35%
0.3
5 6.
3%
0.0
3 7.
62%
0.6
2 8.
50%
0.5
9.
28%
0.2
8 10
. 87
% 0
.87
11.
7.5%
0.0
75
12.
87.5
% 0
.875
13.
1.8
% 0
.018
14
. 99
.9%
0.9
99
15.
85 1 _ 4 %
0.8
525
16.
24 1 _ 2 %
0.2
45
17.
64 4 _ 5 %
0.6
48
18.
36 3 _ 4 %
0.3
675
19.
1 1 _ 5 % 0
.012
20
. 2 1 _ 2 %
0.0
25
Wri
te e
ach
dec
imal
as
a p
erce
nt.
21.
0.1
6 16
%
22.
0.1
10%
23
. 0.
5 50
%
24.
0.98
98%
25.
0.3
1 31
%
26.
0.76
76%
27
. 0.
07 7
%
28.
0.8
80%
29.
0.0
7 7%
30
. 0.
10 1
0%
31.
0.90
90%
32
. 1.
00 1
00%
33.
0.66
6 66
.6%
34
. 0.
725
72.5
%
35.
0.13
8 13
.8%
36
. 0.
899
89.9
%
37.
0.2
56 2
5.6%
38
. 0.
038
3.8%
39
. 0.
0525
5.2
5%
40.
0.01
7 1.
7%
Less
on 4
-8
Page
s 21
1–21
4
Fin
d th
e L
CM
of
each
set
of
nu
mb
ers.
1.
4, 9
2.
6, 1
6
3. 2
4, 3
6
4. 4
8, 8
4
5.
8, 9
6.
49,
56
7.
42,
66
8.
15,
39
9.
56,
64
10
. 24
, 42
11
. 80
, 250
12
. 16
, 24
13.
13,
14
14
. 36
, 48
15
. 10
, 100
16
. 25
, 200
17.
1, 2
, 5
18.
2, 3
, 7
19.
1, 9
, 27
20
. 2,
24,
36
21.
7, 2
1, 3
5
22.
12, 1
8, 2
8
23.
32, 8
0, 9
6
24.
5, 1
8, 4
5
25.
11,
22,
33
26
. 35
, 70,
140
27
. 25
, 200
, 400
28
. 10
0, 2
00, 3
00
9 _ 25
9 _ 25
1 _ 25
1 _ 25
18 _ 25
18 _ 25
47
_
100
47
_
100
36364848
727233
633
6
727239
239
246
246
219
519
5
448
448
168
168
2,00
02,
000
4848
182
182
144
144
100
100
200
200
10104242
27277272
105
105
252
252
480
480
9090
666614
014
040
040
060
060
0
67
8
Extr
a Pr
acti
ce
678_
0668
_068
5_E
M_8
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667
810
/2/0
712
:51:
33P
M
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Extr
a Pr
actic
e
680–681 Extra Practice
Extra Practice
Less
on 5
-6
Page
s 25
8–26
3
Fin
d th
e m
ult
ipli
cati
ve in
vers
e of
eac
h n
um
ber
.
1.
2 _ 3
3 _ 2 or 1
1 _ 2 2.
5 _ 4
4 _ 5 3.
1 1 _ 1 o
r 1
4. 1
0 1 _ 10
5.
1 _ 7 7
6.
9 _
16
16
_ 9 or 1
7 _ 9 7.
1 1 _ 3
3 _ 4 8.
3 3 _ 4
4 _ 15
9.
7 3 _ 8
8 _ 59
10.
6 2 _ 5 5 _ 32
11
. 33
1 _ 3 3 _
10
0 12
. 66
2 _ 3 3 _
20
0
Sol
ve e
ach
eq
uat
ion
. Ch
eck
you
r so
luti
on.
13.
a _
13
= 2
26
14.
8 _ 9 x =
24
27
15.
3 _ 8 r =
36
96
16.
3 _ 4 t =
1 _ 2 2 _ 3
17.
16
= h _ 4 6
4 18
. m
_
8 =
12
96
19.
5 _ 8 n =
45
72
20.
10 =
b _
10
100
21.
1 _ 7 x
= 7
49
22.
5 =
1 _ 5 y 25
23
. 4 _ 3 m
= 2
8 21
24
. 2 _ 3 z
= 2
0 30
25.
c _ 9 =
81
729
26.
m
_
9 = 9
81
27.
16 =
4 _ 9 f 36
28
. 15
_
8 x
= 2
25 1
20
Less
on 5
-7
Page
s 26
5–27
0
Div
ide.
Wri
te in
sim
ple
st f
orm
.
1.
2 _ 3 ÷
3 _ 2 4 _ 9
2.
3 _ 5 ÷ 2 _ 5 1
1 _ 2 3.
7 _
10
÷ 3 _ 8 1
13 _ 15
4.
5 _ 9 ÷
2 _ 5 1 7 _ 18
5.
4 ÷
2 _ 3 6
6. 8
÷ 4 _ 5 1
0
7.
9 ÷
5 _ 9 16 1 _ 5
8.
2 _ 7 ÷ 2
1 _ 7 9.
1 _
14
÷ 7
1 _ 98
10.
15
÷ 3 _ 5 2
5 11
. 9 _
14
÷ 3 _ 4
6 _ 7 12
. 7 _ 8 ÷
10
7 _ 80
13.
16
÷ 3 _ 4 2
1 1 _ 3 14
. 3 _ 8 ÷
2 1 _ 2
3 _ 20
15.
5 1 _ 2 ÷ 2
1 _ 2 2 1 _ 5
16.
3 1 _ 4 ÷
5 1 _ 2
13 _ 22
17.
12 5 _ 6 ÷
2 1 _ 6 5
12 _ 13
18.
7 1 _ 2 ÷ 3
1 _ 2 2 1 _ 7
Less
on 6
-1
Page
s 28
2–28
6
LUN
CH U
se th
e su
rvey
res
ult
s to
wri
te e
ach
rat
io a
s
Favo
rite
Scho
ol L
unch
Vote
s
Pizz
a64
Ham
burg
er15
Mac
aron
i and
Ch
eese
14
Fish
Stic
ks4
Oth
er3
a fr
acti
on in
sim
ple
st f
orm
.
1.
fis
h st
icks
: mac
aron
i and
che
ese
2.
piz
za : m
acar
oni a
nd c
hees
e
3.
all
vote
s : m
acar
oni a
nd c
hees
e
4.
piz
za : a
ll vo
tes
5.
oth
er : h
ambu
rger
Det
erm
ine
wh
eth
er th
e fo
llow
ing
rati
os a
re e
qu
ival
ent.
Exp
lain
.
6.
4 o
ut o
f 6 b
allo
ons
popp
ed,
8 ou
t of 1
2 ba
lloon
s po
pped
7. 2
0 ou
t of 2
5 st
uden
ts a
gree
, 16
out
of 3
0 st
uden
ts a
gree
4 _ 14 =
2 _ 7 4 _ 14
= 2 _ 7
64 _ 14 =
32 _
7 64
_ 14 =
32 _
7
100 _
14 =
50 _
7 10
0 _
14 =
50 _
7
64
_
100 =
16 _ 25
64
_
100 =
16 _ 25
3 _ 15 =
1 _ 5 3 _ 15
= 1 _ 5
6, 7
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.6,
7. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
Extr
a Pr
acti
ce
68
1
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0668
_068
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110
/2/0
712
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M
Extra Practice
Less
on 5
-3
Page
s 24
2–24
6
Ad
d o
r su
btr
act.
Wri
te in
sim
ple
st f
orm
.
1.
2 1 _ 3 +
1 1 _ 3 3
2 _ 3 2.
5 2 _ 7 -
2 3 _ 7 2
6 _ 7 3.
6 3 _ 8 +
7 1 _ 8 1
3 1 _ 2
4.
2 3 _ 4 -
1 1 _ 4 1
1 _ 2 5.
5 1 _ 2 -
3 1 _ 4 2
1 _ 4 6.
2 2 _ 3 +
4 1 _ 9 6
7 _ 9
7.
7 4 _ 5 +
9 3 _
10
17
1 _ 10
8. 3
3 _ 4 + 5
5 _ 8 9 3 _ 8
9. 1
0 2 _ 3 + 5
6 _ 7 16 11
_ 21
10.
17 2 _ 9 -
12 1 _ 3 4
8 _ 9 11
. 6
5 _
12
+ 1
2 5 _
12
18 5 _ 6
12.
7 1 _ 4 + 1
5 5 _ 6 23
1 _ 12
13.
6 1 _ 8 +
4 2 _ 3 1
0 19 _ 24
14.
7 -
6 4 _ 9
5 _ 9 15
. 8
1 _
12
+ 1
2 6 _
11
20
83
_
132
16.
7 2 _ 3 +
8 1 _ 4 1
5 11 _ 12
17.
12 3 _
11
+ 1
4 3 _
13
26
72
_
143
18.
21 1 _ 3 +
15 3 _ 8 3
6 17 _ 24
19.
19 1 _ 7 +
6 1 _ 4 2
5 11 _ 28
20.
9 2 _ 5 - 8
1 _ 3 1 1 _ 15
21
. 18
1 _ 4 - 3
3 _ 8 14 7 _ 8
22.
1 1 _ 8 +
2 1 _
12
3 5 _ 24
23
. 2
1 _
12
- 1
1 _ 8 23
_ 24
24.
10 -
2 _ 3 9 1 _ 3
Less
on 5
-4
Page
s 24
7–24
8
Eli
min
ate
pos
sib
ilit
ies
to s
olve
eac
h p
rob
lem
.
1.
MEA
SURE
MEN
T G
uille
rmo
has
a 3-
gallo
n co
oler
wit
h 1 3 _ 4 g
allo
ns o
f ju
ice
in it
. If h
e w
ants
the
cool
er fu
ll fo
r hi
s so
ccer
gam
e, h
ow m
uch
juic
e sh
ould
he
add
? C
A
4 ga
llons
C
1 1 _ 4 g
allo
ns
B
3 1 _ 4 gal
lons
D
1 _ 4 g
allo
n
2.
ELE
PHAN
TS A
n el
epha
nt in
a z
oo e
ats
58 c
abba
ges
in a
wee
k. A
bout
how
m
any
cabb
ages
doe
s an
ele
phan
t eat
in
one
yea
r? J
F 7
H 1
,500
G 7
00
J 3,
000
3.
TRA
VEL
Mr.
Rol
lins
dro
ve 7
80 m
iles
on
a 5-
day
trip
. He
rent
ed a
car
for
$23
per
day
plu
s $0
.15
per
mile
aft
er
500
free
mile
s. A
bout
how
muc
h d
id th
e re
ntal
car
cos
t? C
A
$100
B
$130
C
$160
D $
180
Less
on 5
-5
Page
s 25
6–25
7
Mu
ltip
ly. W
rite
in s
imp
lest
for
m.
1.
2 _ 3 ×
3 _ 5 2 _ 5
2.
1 _ 6 × 2 _ 5
1 _ 15
3.
4 _ 9 × 3 _ 7
4 _ 21
4.
5 _
12
× 6 _
11
5 _ 22
5.
3 _ 8 ×
8 _ 9 1 _ 3
6.
2 _ 5 × 5 _ 8
1 _ 4 7.
7 _
15
× 3 _
21
1 _ 15
8.
5 _ 6 ×
15
_
16
25 _ 32
9.
2 _ 3 ×
3 _
13
2 _ 13
10
. 4 _ 9 ×
1 _ 6 2 _ 27
11
. 3
× 1 _ 9
1 _ 3 12
. 5
× 6 _ 7 4
2 _ 7
13.
3 _ 5 ×
15
9 14
. 3 1 _ 2 ×
4 1 _ 3 1
5 1 _ 6 15
. 4 _ 5 ×
2 3 _ 4 2
1 _ 5 16
. 6 1 _ 8 ×
5 1 _ 7 3
1 1 _ 2
17.
2 2 _ 3 ×
2 1 _ 4 6
18
. 7 _ 8 ×
16
14
19.
5 1 _ 5 × 2
1 _ 2 13
20.
7 ×
1 _
14
1 _ 2
21.
22
× 3 _
11
6
22.
8 2 _ 3 × 1
1 _ 2 13
23.
4 ×
6 1 _ 2 2
6 24
. 1 _ 2 ×
10 2 _ 3 5
1 _ 3
25.
2 _ 3 ×
21 1 _ 3 1
4 2 _ 9 26
. 7 _ 8 ×
8 _ 7 1
27.
21 ×
1 _ 2 10 1 _ 2
28.
11 ×
1 _ 4 2 3 _ 4
68
0
Extr
a Pr
acti
ce
680_
0668
_068
5_E
M_8
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668
010
/2/0
712
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M
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Extra Practice
Extra Practice 682–683
Extra Practice
Less
on 6
-5
Page
s 30
4–30
9
Com
ple
te. R
oun
d to
the
nea
rest
hu
nd
red
th if
nec
essa
ry.
1.
400
mm
=
cm
40
2. 4
km
=
m 4
,000
3.
660
cm
=
m 6
.6
4.
0.3
km
=
m 3
00
5. 3
0 m
m =
c
m 3
6.
84.
5 m
=
km
0.0
845
7.
m
= 5
4 cm
0.5
4 8.
18
km =
c
m 1
,800
,000
9.
m
m =
45
cm 4
50
10.
4 k
g =
g
4,0
00
11.
632
mg
=
g 0
.632
12
. 4,
497
g =
k
g 4.
497
13.
mg
= 0
.51
kg 5
10,0
00 1
4. 0
.63
kg =
g
630
15
. k
g =
563
g 0
.563
16.
662
m =
k
m 0
.662
17
. 5,
283
mL
=
L 5
.283
18
. 0.
24 c
m =
m
m 2
.4
19.
380
kL
=
L 3
80,0
00
20.
10.8
g =
m
g 10
,800
21
. 83
,000
mL
=
L 8
3
22.
56
in. ≈
c
m 1
42.2
4 23
. 32
.8 ft
. ≈
m 9
.84
24.
609
yd ≈
m
554
.19
25.
21.
78 m
i ≈
km
35.
07
26.
48 lb
≈
g 2
1,77
2.8
27.
2.3
T ≈
k
g 2,
086.
56
28.
8.5
c ≈
m
L 2,
011.
02
29.
33 g
al ≈
L
125
.07
30.
1.8
qt ≈
m
L 1,
703.
43
Less
on 6
-6
Page
s 31
0–31
5
Det
erm
ine
if th
e q
uan
titi
es in
eac
h p
air
of r
atio
s ar
e p
rop
orti
onal
. E
xpla
in.
1–6.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
1.
MO
NEY
2 c
oins
for
ever
y 3
bills
and
6 c
oins
for
ever
y 9
bills
2.
SCAL
E 3
feet
for
ever
y 1
in a
nd 1
5 fe
et fo
r ev
ery
6 in
3.
FAM
ILY
2 ch
ildre
n fo
r ev
ery
1 ad
ult a
nd 8
chi
ldre
n fo
r ev
ery
3 ad
ults
Sol
ve e
ach
pro
por
tion
.
4.
u _
72
= 2 _ 4 3
6 5.
12
_
m
= 15
_
10
8
6.
36
_
90 =
16
_
t 40
7.
g _
32
= 8 _
64
4
8.
5 _
14
= 10
_
a
28
9.
k _
18
= 5 _ 3 3
0
10.
15
_
w
= 60
_
4
1 11
. 81
_
90
= y _
20
18
12.
45
_
8 = 36
_
d
6.4
13.
12
5 _
v
= 20
_
5
31.2
5 14
. 4 _ 5 =
x _ 3 2.4
15
. 45
_
75
= j _ 3 1
.8
Less
on 6
-7
Page
s 31
8–31
9
Use
the
draw
a d
iagr
am s
trat
egy
to s
olve
the
foll
owin
g p
rob
lem
s.
1.
TES
TS T
he s
core
s on
a te
st a
re fo
und
by
ad
din
g or
sub
trac
ting
poi
nts
as
show
n be
low
. If S
alaz
ar’s
sco
re o
n a
15-q
uest
ion
test
was
86
poin
ts, h
ow
man
y of
his
ans
wer
s w
ere
corr
ect,
inco
rrec
t, an
d b
lank
?
2.
GAM
ES S
ix m
embe
rs o
f a v
ideo
gam
e cl
ub a
re h
avin
g a
tour
nam
ent.
In th
e fi
rst r
ound
, eve
ry p
laye
r w
ill p
lay
a vi
deo
gam
e ag
ains
t eve
ry o
ther
pl
ayer
. How
man
y ga
mes
will
be
in
the
firs
t rou
nd o
f the
tour
nam
ent?
15
gam
es
3.
FAM
ILY
At L
atri
ce’s
fam
ily r
euni
on,
4 _ 5 o
f the
peo
ple
are
18 y
ears
of a
ge o
r
old
er. H
alf o
f the
rem
aini
ng p
eopl
e ar
e un
der
12
year
s ol
d. I
f 20
child
ren
are
und
er 1
2 ye
ars
old
, how
man
y pe
ople
are
at t
he r
euni
on?
200
peop
le
Answ
erPo
ints
Corr
ect
+8
Inco
rrec
t-
4
No
answ
er-
2
Answ
erPo
ints
Corr
ect
+8
Inco
rrec
t-
4
No
answ
er-
2
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
Extr
a Pr
acti
ce
68
3
683_
0668
_068
5_E
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668
310
/2/0
712
:51:
46P
M
Extra Practice
Less
on 6
-2
Page
s 28
7–29
2
Fin
d e
ach
un
it r
ate.
Rou
nd
to th
e n
eare
st h
un
dre
dth
if n
eces
sary
.
1.
$24
0 fo
r 4
day
s $6
0/da
y 2.
250
peo
ple
in 5
bus
es 5
0 pe
ople
/bus
3.
500
mile
s in
10
hour
s 50
mi/h
4.
18
cups
for
24 p
ound
s 3 _ 4 c
up/p
ound
5.
32
peop
le in
8 c
ars
4 pe
ople
/car
6.
$4.
50 fo
r 3
doz
en $
1.50
/doz
en
7.
245
tick
ets
in 5
day
s 49
tick
ets/
day
8. 1
2 cl
asse
s in
4 s
emes
ters
9.
60
peop
le in
4 r
ows
15 p
eopl
e/ro
w
10.
48 o
unce
s in
3 p
ound
s 16
oz/
lb
11.
20
peop
le in
4 g
roup
s 5
peop
le/g
roup
12
. 1.
5 po
und
s fo
r $3
.00
0.5
lb/$
13.
45
mile
s in
60
min
utes
0.7
5 m
i/min
14
. $5
.50
for
10 d
isks
$0.
55/d
isk
15.
360
mile
s fo
r 12
gal
lons
30
mi/g
al
16.
$8.5
0 fo
r 5
yard
s $1
.70/
yd
17.
24
cups
for
$1.2
0 20
cup
s/do
llar
18.
160
wor
ds
in 4
min
utes
40
wor
ds/m
in
19.
$60
for
5 bo
oks
$12/
book
20
. $2
4 fo
r 6
hour
s $4
/h
Less
on 6
-3
Page
s 29
3–29
7
For
Exe
rcis
es 1
an
d 2
, fin
d th
e ra
te o
f ch
ange
for
eac
h ta
ble
.
1.
Age
(yr)
Heig
ht (i
n.)
954
1056
1158
1260
2 in
. per
yr
2.Ti
me
(h)
Tem
pera
ture
(ºC)
00
43
86
129
3º
C pe
r 4h
3.
MO
VIE
REN
TALS
The
gra
ph s
how
s th
e co
st o
f ren
ting
mov
ies.
Use
the
grap
h to
find
the
rate
of c
hang
e.
cost
incr
ease
s by
$5
for e
ach
mov
ie
rent
al
Less
on 6
-4
Page
s 29
8–30
3
Com
ple
te.
1.
4,0
00 lb
=
T 2
2.
5 T
=
lb 1
0,00
0 3.
5 lb
=
oz
80
4.
12,
000
lb =
T
6
5.
1 _ 4 lb
=
oz
4 6.
12
pt =
c
24
7.
3 g
al =
p
t 24
8.
24
fl o
z =
c
3
9. 8
pt =
c
16
10.
10
pt =
q
t 5
11.
2 1 _ 4 c =
fl
oz
18
12.
6 lb
=
oz
96
13.
10
gal =
q
t 40
14
. 4
qt =
fl
oz
128
15.
4 pt
=
c 8
16.
13,
200
ft =
m
i 2 1 _ 2
17.
120
oz =
lb
7 1 _ 2
18.
9 1 _ 4 gal
=
qt
37
19.
7,4
80 y
d =
m
i 4 1 _ 4
20.
12 1 _ 2 l
b =
o
z 20
0 21
. 7 1 _ 2 q
t =
pt
15
22.
3 1 _ 8 c
=
fl o
z 25
23
. 2 1 _ 4 m
i =
ft 1
1,88
0 24
. 3 2 _ 3 T
=
lb 7
,333
1 _ 3
3 cl
asse
s/se
mes
ter
3 cl
asse
s/se
mes
ter
Cost ($)
020 15 10 5
12
3N
umbe
r of M
ovie
s
( 1, 5
)( 2
, 10)
( 3, 1
5)
x
y
Rent
ing
Mov
ies
68
2
Extr
a Pr
acti
ce
682_
0668
_068
5_E
M_8
7404
668
210
/2/0
712
:51:
44P
M
8_0668_0703_EM-874048 88_0668_0703_EM-874048 8 11/29/07 6:21:04 PM11/29/07 6:21:04 PM
Extr
a Pr
actic
e
684–685 Extra Practice
Extra Practice
Less
on 7
-2
Page
s 35
3–35
4
Fin
d e
ach
nu
mb
er. R
oun
d to
the
nea
rest
ten
th if
nec
essa
ry.
1.
Wha
t num
ber
is 2
5% o
f 280
? 70
2.
38
is w
hat p
erce
nt o
f 50?
76%
3.
54
is 2
5% o
f wha
t num
ber?
216
4.
24.
5% o
f wha
t num
ber
is 1
5? 6
1.2
5.
Wha
t num
ber
is 8
0% o
f 500
? 40
0 6.
12%
of 1
20 is
wha
t num
ber?
14.
4
7.
Fin
d 6
8% o
f 50.
34
8. W
hat p
erce
nt o
f 240
is 3
2? 1
3.3%
9.
99
is w
hat p
erce
nt o
f 150
? 66
%
10.
Find
75%
of 1
. 0.
8
11.
Wha
t num
ber
is 3
3 1 _ 3 % o
f 66?
22
12.
50%
of 3
50 is
wha
t num
ber?
175
13.
Wha
t per
cent
of 4
50 is
50?
11.
1%
14.
Wha
t num
ber
is 3
7 1 _ 2 % o
f 32?
12
15.
95%
of 4
0 is
wha
t num
ber?
38
16.
Find
30%
of 2
6. 7
.8
17.
9 is
wha
t per
cent
of 3
0? 3
0%
18.
52%
of w
hat n
umbe
r is
109
.2?
210
19.
Wha
t num
ber
is 6
5% o
f 200
? 13
0 20
. W
hat n
umbe
r is
15.
5% o
f 45?
7.0
Less
on 7
-3
Page
s 35
5–36
0
Est
imat
e b
y u
sin
g fr
acti
ons.
1–3
6. S
ampl
e an
swer
s ar
e gi
ven.
1.
28%
of 4
8
2. 9
9% o
f 65
3.
445
% o
f 20
4.
9%
of 8
1
5. 7
3% o
f 240
6.
65.
5% o
f 75
7.
48.
2% o
f 93
8.
39.
45%
of 5
1
9. 2
87%
of 1
22
10.
53%
of 8
0
11.
414%
of 7
2
12.
59%
of 1
05
Est
imat
e b
y u
sin
g 10
%.
13–2
4. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
13.
30%
of 4
2 14
. 70
% o
f 104
15
. 90
% o
f 152
16
. 67
% o
f 70
17.
78%
of 9
2 18
. 12
% o
f 183
19
. 51
% o
f 221
20
. 23
% o
f 504
21.
81%
of 3
90
22.
41%
of 6
0 23
. 59
% o
f 178
24
. 22
% o
f 450
Est
imat
e.
25.
50%
of 3
7
26.
18%
of 9
0
27.
300%
of 2
45
28.
1%
of 4
8
29.
70%
of 3
00
30.
35%
of 3
5
31.
60.
5% o
f 60
32
. 5 1 _ 2 %
of 1
00
33.
40.0
1% o
f 16
34.
80%
of 6
2
35.
45%
of 1
19
36.
14.8
1% o
f 986
Less
on 7
-4
Page
s 36
1–36
5
Wri
te a
n e
qu
atio
n f
or e
ach
pro
ble
m. T
hen
sol
ve. R
oun
d to
the
nea
rest
te
nth
if n
eces
sary
.
1.
Fin
d 4
5% o
f 50.
22.
5 2.
75
is w
hat p
erce
nt o
f 300
? 25
%
3.
16%
of w
hat n
umbe
r is
2?
12.5
4.
75%
of 8
0 is
wha
t num
ber?
60
5.
5%
of w
hat n
umbe
r is
12?
240
6.
Fin
d 6
0% o
f 45.
27
7.
90
is w
hat p
erce
nt o
f 95?
94.
7%
8. 2
8 1 _ 2 % o
f 64
is w
hat n
umbe
r? 1
8.2
9.
Fin
d 4
6.5%
of 7
5. 3
4.9
10.
Wha
t num
ber
is 5
5.5%
of 7
0? 3
8.9
11.
80.
5% o
f wha
t num
ber
is 8
0.5?
100
12
. 66
2 _ 3 % o
f wha
t num
ber
is 4
0? 6
0
13.
Fin
d 1
22.5
% o
f 80.
98
14.
250%
of w
hat n
umbe
r is
75?
30
1 _ 4 · 4
8 =
12
1 _ 4 · 4
8 =
12
1 · 6
5 =
65
1 · 6
5 =
65
3. (
4 · 20) +
( 1 _ 2 ·
20 )
= 9
03.
(4
· 20) +
( 1 _ 2 ·
20 )
= 9
0
1 _ 10 ·
80
= 8
1 _ 10 ·
80
= 8
3 _ 4 · 2
40 =
180
3 _ 4 · 2
40 =
180
2 _ 3 · 7
5 =
50
2 _ 3 · 7
5 =
50
1 _ 2 · 9
0 =
45
1 _ 2 · 9
0 =
45
2 _ 5 · 5
0 =
20
2 _ 5 · 5
0 =
20
3 · 1
20 =
360
3 · 1
20 =
360
1 _ 2 · 8
0 =
40
1 _ 2 · 8
0 =
40
4 · 7
2 =
288
4 · 7
2 =
288
3 _ 5 · 1
05 =
63
3 _ 5 · 1
05 =
63
1 _ 2 · 4
0 =
20
1 _ 2 · 4
0 =
20
1 _ 5 · 1
00 =
20
1 _ 5 · 1
00 =
20
3 · 2
50 =
750
3 · 2
50 =
750
1 _
100 ·
50
= 0
.5 1 _
10
0 · 5
0 =
0.5
7 _ 10 ·
300
= 2
10 7 _ 10
· 3
00 =
210
7 _ 20 ·
40
= 1
4 7 _ 20
· 4
0 =
14
3 _ 5 · 6
0 =
36
3 _ 5 · 6
0 =
36
3 _ 50 ·
100
= 6
3 _ 50 ·
100
= 6
2 _ 5 · 1
5 =
6 2 _ 5 ·
15
= 6
4 _ 5 · 6
0 =
48
4 _ 5 · 6
0 =
48
9 _ 20 ·
120
= 5
4 9 _ 20
· 1
20 =
54
3 _ 20 ·
1,0
00 =
150
3 _ 20 ·
1,0
00 =
150
1–14
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x fo
r equ
atio
ns.
1–14
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x fo
r equ
atio
ns.
Extr
a Pr
acti
ce
68
5
685_
0668
_068
5_E
M_8
7404
668
510
/2/0
712
:51:
54P
M
Extra Practice
Less
on 6
-8
Page
s 32
0–32
6
On
a m
ap, t
he
scal
e is
1 in
ch =
50
mil
es. F
or e
ach
map
dis
tan
ce, f
ind
th
e ac
tual
dis
tan
ce.
1.
5 in
ches
250
mi
2. 1
2 in
ches
600
mi
3. 2
3 _ 8 inc
hes
118 3 _ 4 m
i 4.
4 _ 5 i
nch
40 m
i
5.
2 5 _ 6 i
nche
s 14
1 2 _ 3 mi
6. 3
.25
inch
es
7. 4
.75
inch
es
8. 5
.25
inch
es
On
a s
cale
dra
win
g, th
e sc
ale
is 1 _ 2 i
nch
= 2
fee
t. Fi
nd
the
dim
ensi
ons
of
each
roo
m in
the
scal
e d
raw
ing.
9.
14
feet
by
18 fe
et
10.
32 fe
et b
y 6
feet
11.
3 fe
et b
y 5
feet
12
. 20
feet
by
30 fe
et
Less
on 6
-9
Page
s 32
8–33
2
Wri
te e
ach
per
cen
t as
a fr
acti
on in
sim
ple
st f
orm
.
1.
32%
2.
89%
3.
72%
4.
11%
5.
1%
6.
28%
7.
55%
8.
18.
5%
9.
22.
75%
10
. 25
.2%
11
. 75
.5%
12
. 48
.25%
13.
6.5
%
14.
1.25
%
15.
88.9
%
16.
52 1 _ 4 %
17.
895
%
18.
480%
19
. 0.
78%
20
. 0.
3%
Wri
te e
ach
fra
ctio
n a
s a
per
cen
t. R
oun
d to
the
nea
rest
hu
nd
red
th
if n
eces
sary
.
21.
14
_
25
56%
22
. 28
_
50
56%
23
. 14
_
20
70%
24
. 7 _
10
70%
25.
17
_
17
100
%
26.
80
_
125 6
4%
27.
9 _
12
75%
28
. 4 _ 6 6
6.67
%
29.
11
_
12
91.
67%
30
. 9 _
16
56.
25%
31
. 8 _ 9 8
8.89
%
32.
3 _
16
18.
75%
33.
5 _
32
15.
63%
34
. 1 _
16
6.2
5%
35.
8 _
15
53.
33%
36
. 9 _
11
81.
82%
37.
1 _
25
0 0.4
%
38.
1 _
50
0 0.2
%
39.
12 1 _ 2 1
,250
%
40.
18 2 _ 5 1
,840
%
Less
on 7
-1
Page
s 34
4–34
8
Fin
d e
ach
nu
mb
er. R
oun
d to
the
nea
rest
ten
th if
nec
essa
ry.
1.
5%
of 4
0 2
2. 1
0% o
f 120
12
3. 1
2% o
f 150
18
4. 1
2.5%
of 4
0 5
5.
75%
of 2
00 1
50
6. 1
3% o
f 25.
3 3.
3 7.
250
% o
f 44
110
8. 0
.5%
of 1
3.7
0.1
9.
600
% o
f 7 4
2 10
. 1.
5% o
f $25
$0.
38 1
1. 8
1% o
f 134
108
.5 1
2. 4
3% o
f 110
47.
3
13.
61%
of 5
24 3
19.6
14.
100
% o
f 3.5
3.5
15
. 20
% o
f 58.
5 11
.7
16.
45%
of 1
25.5
56.
5
17.
23%
of 5
00 1
15
18.
80%
of 8
6.4
19
. 90
% o
f 72
64.8
20
. 32
% o
f 54
17.3
162.
5 m
i16
2.5
mi
237.
5 m
i23
7.5
mi
262.
5 m
i26
2.5
mi
3 1 _ 2 in. b
y 4 1 _ 2 in
.3 1 _ 2 in
. by
4 1 _ 2 in.
8 in
. by
1 1 _ 2 in.
8 in
. by
1 1 _ 2 in.
3 _ 4 in. b
y 1 1 _ 4 in
. 3 _ 4 in
. by
1 1 _ 4 in.
5 in
. by
7 1 _ 2 in.
5 in
. by
7 1 _ 2 in.
8 _ 25
8 _ 25
89
_
100
89
_
100
18 _ 25
18 _ 25
11
_
100
11
_
100
1 _
100
1 _
100
7 _ 25
7 _ 25
11 _ 20
11 _ 20
37
_
200
37
_
200
91
_
400
91
_
400
63
_
250
63
_
250
151 _
200
151 _
200
193 _
400
193 _
400
13
_
200
13
_
200
1 _ 80
1 _ 80
889
_
1,00
0 88
9 _
1,
000
209 _
400
209 _
400
8 19 _ 20
8 19 _ 20
4 4 _ 5 4 4 _ 5
39
_
5,00
0
39
_
5,00
0
3 _
1,00
0
3 _
1,00
0
68
4
Extr
a Pr
acti
ce
684_
0668
_068
5_E
M_8
7404
668
410
/2/0
712
:51:
51P
M
9_0668_0703_EM-874048 99_0668_0703_EM-874048 9 11/29/07 6:21:10 PM11/29/07 6:21:10 PM
Extra Practice
Extra Practice 686–687
Extra Practice
Less
on 7
-8
Page
s 37
9–38
2
Fin
d th
e si
mp
le in
tere
st e
arn
ed to
the
nea
rest
cen
t for
eac
h p
rin
cip
al,
inte
rest
rat
e, a
nd
tim
e.
1.
$2,
000,
8%
, 5 y
ears
2.
$50
0, 1
0%, 8
mon
ths
3. $
750,
5%
, 1 y
ear
4.
$17
5.50
, 6 1 _ 2 %
, 18
mon
ths
5. $
236.
20, 9
%, 1
6 m
onth
s 6.
$89
, 7 1 _ 2 %
, 6 m
onth
s
7.
$80
0, 5
.75%
, 3 y
ears
8.
$22
5, 1
1 _ 2 %, 2
yea
rs
9. $
12,0
00, 4
1 _ 2 %, 4
0 m
onth
s
Fin
d th
e si
mp
le in
tere
st p
aid
to th
e n
eare
st c
ent f
or e
ach
loan
, in
tere
st
rate
, an
d ti
me.
10.
$75
0, 1
8%, 2
yea
rs
11.
$1,5
00, 1
9%, 1
6 m
onth
s 12
. $3
00, 9
%, 1
yea
r
13.
$4,
750,
19.
5%, 3
0 m
onth
s 14
. $2
,345
, 17%
, 9 m
onth
s 15
. $6
89, 1
2%, 2
yea
rs
16.
$39
0, 1
8.75
%, 1
5 m
onth
s 17
. $1
,250
, 22%
, 8 m
onth
s 18
. $3
,240
, 18%
, 14
mon
ths
Less
on 8
-1
Page
s 39
5–40
0
Dis
pla
y ea
ch s
et o
f d
ata
in a
lin
e p
lot.
Iden
tify
an
y cl
ust
ers,
gap
s,
or o
utl
iers
.
1.
Num
ber o
f Pet
s in
the
Hom
e
01
34
0
21
01
1
100
15
2
2.
High
Tem
pera
ture
s fo
r 18
Days
(°F)
7581
7565
7681
7780
6565
8080
7685
6675
8075
3.
Num
ber o
f Sto
ries
for B
uild
ings
in D
enve
r
5643
3642
29
5442
3234
5240
3232
Sour
ce: T
he W
orld
Alm
anac
and
Boo
k of
Fac
ts
4
.Ag
es o
f Chi
ldre
n at
Sun
ny D
ay C
are
(yea
rs)
41
64
53
45
12
54
32
41
33
Less
on 8
-2
Page
s 40
1–40
7
Fin
d th
e m
ean
, med
ian
, an
d m
ode
for
each
set
of
dat
a.
1.
1, 5
, 9, 1
, 2, 6
, 8, 2
2.
2, 5
, 8, 9
, 7, 6
, 3, 5
, 1, 4
3.
82,
79,
93,
91,
95,
95,
81
4.
117
, 103
, 108
, 120
5.
256
, 265
, 247
, 256
6.
47,
54,
66,
54,
46,
66
7.
1011
1213
1415
1617
1819
20
××
××
××
××
××
××
××
××
××××
×
××
×
×
8.
Num
ber o
fAb
senc
esTa
llyFr
eque
ncy
04
19
26
35
1–9.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.1–
9. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
10–1
8. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
10–1
8. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
1–4.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.1–
4. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
4.25
, 3.5
, 1 a
nd 2
4.25
, 3.5
, 1 a
nd 2
5, 5
, 55,
5, 5
88, 9
1, 9
588
, 91,
95
112,
112
.5, n
o m
ode
112,
112
.5, n
o m
ode
256,
256
, 256
256,
256
, 256
55.5
, 54,
54
and
6655
.5, 5
4, 5
4 an
d 66
15, 1
5, 1
515
, 15,
15
1.5,
1, 1
1.5,
1, 1
Extr
a Pr
acti
ce
68
7
687_
0686
_070
3_E
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668
710
/2/0
712
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10P
M
Extra Practice
Less
on 7
-5
Page
s 36
6–36
7
Sol
ve e
ach
pro
ble
m u
sin
g th
e re
ason
able
ans
wer
s st
rate
gy.
1.
SKI
ING
Ben
ito
skie
d fo
r 13
.5 h
ours
and
es
tim
ated
that
he
spen
t 30%
of h
is ti
me
on th
e sk
i lif
t. D
id h
e sp
end
abo
ut 4
, 6,
or 8
hou
rs o
n th
e sk
i lif
t?
3.
GAS
MIL
EAGE
Mig
uel’s
car
get
s 38
mile
s pe
r ga
llon
and
has
2.5
gal
lons
of
gaso
line
left
in th
e ta
nk. C
an h
e d
rive
fo
r 85
, 95,
or
105
mor
e m
iles
befo
re h
e ru
ns o
ut o
f gas
?
2.
CLAS
S TR
IP T
he c
lass
trip
at W
ilson
M
idd
le S
choo
l cos
ts $
145
per
stud
ent.
A fu
ndra
iser
ear
ns 3
8% o
f thi
s co
st.
Will
eac
h st
uden
t hav
e to
pay
abo
ut
$70,
$80
, or
$90?
4.
DIN
ING
At a
res
taur
ant,
the
tota
l cos
t of
a m
eal i
s $8
7.50
. Nad
ia w
ants
to le
ave
a 20
% ti
p. S
houl
d s
he le
ave
a to
tal o
f $9
5, $
105,
or
$115
?
abou
t 4 h
abou
t 4 h
95 m
i95
mi
$90
$90 $1
05$1
05
Less
on 7
-6
Page
s 36
9–37
4
Fin
d e
ach
per
cen
t of
chan
ge. R
oun
d to
the
nea
rest
wh
ole
per
cen
t if
nec
essa
ry. S
tate
wh
eth
er th
e p
erce
nt o
f ch
ange
is a
n in
crea
se
or d
ecre
ase.
1.
450
cen
tim
eter
s to
675
cen
tim
eter
s 2.
77
mill
ion
to 2
00.2
mill
ion
3.
500
alb
ums
to 1
00 a
lbum
s 80
% d
ecre
ase
4. 3
50 y
ard
s to
420
yar
ds
20%
incr
ease
5.
3.2
5 m
eter
s to
2.9
5 m
eter
s 9%
dec
reas
e 6.
$65
to $
75 1
5% in
crea
se
7.
180
dis
hes
to 1
60 d
ishe
s 11
% d
ecre
ase
8. 4
50 p
iece
s to
445
.5 p
iece
s 1%
dec
reas
e
9.
700
gra
ms
910
gram
s 30
% in
crea
se
10.
55 w
omen
to 1
1 w
omen
80%
dec
reas
e
11.
412
chi
ldre
n to
1,3
39 c
hild
ren
12.
464
kilo
gram
s to
20
kilo
gram
s
13.
24
hour
s to
86
hour
s 25
8% in
crea
se
14.
16 m
inut
es to
24
min
utes
50%
incr
ease
Less
on 7
-7
Page
s 37
5–37
8
Fin
d th
e to
tal c
ost o
r sa
le p
rice
to th
e n
eare
st c
ent.
1.
$45
sw
eate
r; 6
% ta
x 2.
$18
.99
CD
; 15%
dis
coun
t 3.
$19
9 ri
ng; 1
0% d
isco
unt
4.
$29
shi
rt; 7
% ta
x 5.
$19
pur
se; 2
5% d
isco
unt
6. $
145
coat
; 6.2
5% ta
x
7.
$12
mea
l; 4.
5% ta
x 8.
$89
9 co
mpu
ter;
9.
$10
5 sk
ateb
oard
;
20%
dis
coun
t 7
1 _ 2 % ta
x
10.
$59
9 T
V; 1
2% d
isco
unt
11.
$12,
500
car;
3 3 _ 4 %
tax
12.
$49.
95 g
love
s; 5
1 _ 4 % ta
x
Fin
d th
e p
erce
nt o
f d
isco
un
t to
the
nea
rest
per
cen
t.
13.
sne
aker
s: r
egul
ar p
rice
, $72
14
. d
ress
shi
rt: r
egul
ar p
rice
, $90
sa
le p
rice
, $60
17%
sa
le p
rice
, $22
.50
75%
15.
por
tabl
e ga
me
play
er: r
egul
ar p
rice
, $12
5 16
. ca
r: r
egul
ar p
rice
, $25
,000
sa
le p
rice
, $10
0 20
%
sale
pri
ce, $
22,0
00 1
2%
17.
hiki
ng b
oots
: reg
ular
pri
ce, $
139
18.
airl
ine
tick
ets:
reg
ular
pri
ce, $
556
sa
le p
rice
, $11
3.98
18%
sa
le p
rice
, $50
0.40
19.
CD
: reg
ular
pri
ce, $
15
20.
com
pute
r: r
egul
ar p
rice
, $60
0
sale
pri
ce, $
9 40
%
sale
pri
ce, $
450
25%
1. 5
0% in
crea
se
2. 1
60%
incr
ease
11
. 225
% in
crea
se
12. 9
6% d
ecre
ase
1. 5
0% in
crea
se
2. 1
60%
incr
ease
11
. 225
% in
crea
se
12. 9
6% d
ecre
ase
1–12
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.1–
12. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
10%
10%
68
6
Extr
a Pr
acti
ce
686_
0686
_070
3_E
M_8
7404
668
610
/2/0
712
:52:
08P
M
10_0668_0703_EM-874048 1010_0668_0703_EM-874048 10 11/29/07 6:21:18 PM11/29/07 6:21:18 PM
Extr
a Pr
actic
e
688–689 Extra Practice
Extra Practice
Less
on 8
-6
Page
s 42
6–43
1
For
Exe
rcis
es 1
–3, r
efer
to th
e gr
aph
at
the
righ
t wh
ich
sh
ows
Rac
hel
’s q
uiz
sc
ores
for
six
qu
izze
s.
1. D
escr
ibe
the
tren
d in
Rac
hel’s
qui
z sc
ores
. 2.
If t
he tr
end
con
tinu
es, p
red
ict
Rac
hel’s
sco
re o
n th
e se
vent
h qu
iz.
3. I
f the
tren
d c
onti
nues
, pre
dic
t R
ache
l’s s
core
on
the
tent
h qu
iz.
Sam
ple
answ
er: T
he s
core
s ar
e in
crea
sing
.Sa
mpl
e an
swer
: The
sco
res
are
incr
easi
ng.
Sam
ple
answ
er: 7
Sam
ple
answ
er: 7
Sam
ple
answ
er: 1
0Sa
mpl
e an
swer
: 10
12
34
56
3 2 1456
Score
78910
Qui
z0
Qui
z Sc
ores
For
Exe
rcis
es 4
–6, u
se th
e ta
ble
wh
ich
sh
ows
the
aver
age
pri
ce p
aid
to f
arm
ers
per
100
pou
nd
s of
sh
eep
they
sol
d.
4. M
ake
a sc
atte
r pl
ot o
f the
dat
a.
5. D
escr
ibe
the
rela
tion
ship
, if a
ny,
betw
een
the
two
sets
of d
ata.
6. P
red
ict t
he p
rice
per
100
pou
nds
for
2010
. Exp
lain
. 4–
6. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
4–6.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
Ye
arPr
ice
Per 1
00Po
unds
($)
1940
4
1950
12
1960
6
1970
8
1980
21
1990
23
2000
34So
urce
:The
Wor
ld
Alm
anac
and
Boo
k of
Fac
ts
Less
on 8
-7
Page
s 43
5–43
7
1.
SURV
EYS
The
tabl
e sh
ows
the
resu
lts
Co
okie
Num
ber
choc
olat
e ch
ip49
pean
ut b
utte
r12
oatm
eal
10
suga
r8
raisi
n3
of a
sur
vey
of s
tud
ents
’ fav
orit
e co
okie
s.
Pred
ict h
ow m
any
of th
e 42
4 st
uden
ts
at S
cobe
y H
igh
Scho
ol p
refe
r ch
ocol
ate
chip
coo
kies
.
2.
VACA
TIO
N T
he c
ircl
e gr
aph
show
s th
e
resu
lts
of a
sur
vey
of te
ens
and
whe
re
they
wou
ld p
refe
r to
spe
nd a
fam
ily
vaca
tion
. Pre
dic
t how
man
y of
4,
000
teen
s w
ould
pre
fer
to g
o to
an
am
usem
ent p
ark.
3.
TRA
VEL
In 2
000,
abo
ut 2
9% o
f the
fore
ign
visi
tors
to th
e U
.S. w
ere
from
C
anad
a. If
a p
arti
cula
r ho
tel h
ad 1
50,0
00 fo
reig
n gu
ests
in o
ne y
ear,
how
m
any
wou
ld y
ou p
red
ict w
ere
from
Can
ada?
2 a–
c. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
2 a–
c. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
abou
t 253
stu
dent
sab
out 2
53 s
tude
nts
1,80
0 te
ens
1,80
0 te
ens
43,5
00 C
anad
ians
43,5
00 C
anad
ians
Extr
a Pr
acti
ce
68
9
689_
0686
_070
3_E
M_8
7404
668
910
/2/0
712
:52:
16P
M
Extra Practice
Less
on 8
-3
Page
s 40
9–41
3
Dis
pla
y ea
ch s
et o
f d
ata
in a
ste
m-a
nd
-lea
f p
lot.
1.
23,
15,
39,
68,
57,
42,
51,
52,
41,
18,
29
2. 1
89, 1
82, 1
96, 1
84, 1
97, 1
83, 1
96, 1
94, 1
84
3.
Sour
ce: T
he W
orld
Alm
anac
and
Boo
k of
Fac
ts
Aver
age
Mon
thly
Hig
h Te
mpe
ratu
res
in A
lban
y, N
Y (°
F)
2146
7250
2458
7040
3467
6127
4.Su
per B
owl W
inni
ng S
core
s 19
87–2
004
3955
5227
3420
4220
3035
2348
2037
4931
3432
Sour
ce: T
he W
orld
Alm
anac
and
Boo
k of
Fac
ts
Less
on 8
-4
Page
s 41
4–42
0
Sel
ect t
he
app
rop
riat
e gr
aph
to d
isp
lay
each
set
of
dat
a: b
ar g
rap
h o
r h
isto
gram
. Th
en d
isp
lay
the
dat
a in
the
app
rop
riat
e gr
aph
.
1.
Long
est S
nake
s
Snak
e N
ame
Leng
th (f
t)
Roya
l pyt
hon
35
Anac
onda
28
Indi
an p
ytho
n25
Diam
ond
pyth
on21
King
cob
ra19
Boa
cons
trict
or16
Sour
ce: T
he T
op 1
0 of
Eve
ryth
ing
2.
Leas
t Den
sely
Pop
ulat
ed S
tate
s
Stat
ePe
ople
Per
Squ
are
Mile
Alas
ka1
Wyo
min
g5
Mon
tana
6
Nor
th D
akot
a9
Sout
h Da
kota
10
New
Mex
ico15
Sour
ce: T
he T
op 1
0 of
Eve
ryth
ing
3.
Cost
of a
Mov
ie T
icke
t at S
elec
ted
Thea
ters
$5.2
5$6
.50
$3.5
0$3
.75
$7.5
0$9
.25
$10.
40$4
.75
$10.
00$4
.50
$8.7
5$7
.25
$3.5
0$6
.70
$4.2
0$7
.50
4.
High
est R
ecor
ded
Win
d Sp
eeds
For S
elec
ted
U.S.
Citi
es (m
ph)
5255
8146
7357
7554
5876
4658
6091
5353
5156
8060
7346
4947
Sour
ce: T
he W
orld
Alm
anac
and
Boo
k of
Fac
ts
Less
on 8
-5
Page
s 42
4–42
5
WEA
THER
For
Exe
rcis
es 1
–3, s
olve
by
usi
ng
the
grap
h.
1.
In
whi
ch m
onth
is th
e av
erag
e hi
gh
tem
pera
ture
abo
ut tw
ice
as h
igh
as th
e av
erag
e lo
w te
mpe
ratu
re fo
r Ja
nuar
y?
Janu
ary Fe
brua
ryM
arch
April
May
02040
Temperature (°F)
6080100
Mon
thLow
High
Ave
rage
Hig
h an
d Lo
w T
empe
ratu
res
(Arl
ingt
on, T
X)
2.
Wha
t is
the
appr
oxim
ate
dif
fere
nce
betw
een
the
aver
age
high
tem
pera
ture
and
th
e av
erag
e lo
w te
mpe
ratu
re e
ach
mon
th?
3.
Pre
dic
t the
hig
h an
d lo
w te
mpe
ratu
res
for
June
bas
ed o
n th
e d
ata
give
n on
the
grap
h.
1–4.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.1–
4. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
1–4.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.1–
4. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
3. S
ampl
e an
swer
: 88°
F, 72
°F3.
Sam
ple
answ
er: 8
8°F,
72°F
Mar
chM
arch
abou
t 20°
Fab
out 2
0°F
68
8
Extr
a Pr
acti
ce
688_
0686
_070
3_E
M_8
7404
668
810
/2/0
712
:52:
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M
11_0668_0703_EM-874048 1111_0668_0703_EM-874048 11 11/29/07 6:21:23 PM11/29/07 6:21:23 PM
Extra Practice
Extra Practice 690–691
Extra Practice
Less
on 9
-2Pa
ges
465–
470
For
each
sit
uat
ion
, fin
d th
e sa
mp
le s
pac
e u
sin
g a
tree
dia
gram
.
1.
rol
ling
2 nu
mbe
r cu
bes
2.
cho
osin
g an
ice
crea
m c
one
from
waf
fle,
pla
in, o
r su
gar
and
a fl
avor
of i
ce c
ream
fr
om c
hoco
late
, van
illa,
or
stra
wbe
rry
3.
mak
ing
a sa
ndw
ich
from
whi
te, w
heat
, or
rye
brea
d, c
hed
dar
or
Swis
s ch
eese
and
ha
m, t
urke
y, o
r ro
ast b
eef
4.
tos
sing
a p
enny
twic
e
5.
cho
osin
g on
e m
ath
clas
s fr
om A
lgeb
ra a
nd G
eom
etry
and
one
fore
ign
lang
uage
cl
ass
from
Fre
nch,
Spa
nish
, or
Lat
in
Less
on 9
-3
Page
s 47
1–47
4
Use
the
Fun
dam
enta
l Cou
nti
ng
Pri
nci
ple
to f
ind
the
tota
l nu
mb
er o
f ou
tcom
es in
eac
h s
itu
atio
n.
1.
cho
osin
g a
loca
l pho
ne n
umbe
r if
the
exch
ange
is 3
98 a
nd e
ach
of th
e fo
ur
rem
aini
ng d
igit
s is
dif
fere
nt
2.
cho
osin
g a
way
to d
rive
from
Mill
ville
to W
estw
ood
if th
ere
are
5 ro
ads
that
lead
fr
om M
illvi
lle to
Mia
mis
burg
, 3 r
oad
s th
at c
onne
ct M
iam
isbu
rg to
Hat
haw
ay, a
nd
4 hi
ghw
ays
that
con
nect
Hat
haw
ay to
Wes
twoo
d
3.
tos
sing
a q
uart
er, r
ollin
g a
num
ber
cube
, and
toss
ing
a d
ime
4.
spi
nnin
g th
e sp
inne
rs s
how
n be
low
AD
BC
AB C
DEF
AD
BC
Less
on 9
-4
Page
s 47
5–47
8
1.
RACE
S E
ight
run
ners
are
com
peti
ng in
a 1
00-m
eter
spr
int.
In h
ow m
any
way
s ca
n th
e go
ld, s
ilver
, and
bro
nze
med
als
be a
war
ded
?
2.
LOCK
ERS
Five
-dig
it lo
cker
com
bina
tion
s ar
e as
sign
ed u
sing
the
dig
its
1–9.
In h
ow
man
y w
ays
can
the
com
bina
tion
s be
form
ed if
no
dig
it c
an b
e re
peat
ed?
3.
SCH
EDUL
ES I
n ho
w m
any
way
s ca
n th
e cl
asse
s m
ath,
lang
uage
art
s, s
cien
ce, a
nd
soci
al s
tud
ies
be o
rder
ed o
n st
uden
t sch
edul
es a
s th
e fi
rst f
our
clas
ses
of th
eir
day
?
4.
TO
YS A
t a te
dd
y be
ar w
orks
hop,
cus
tom
ers
can
sele
ct fr
om b
lack
, bro
wn,
gol
den
, w
hite
, blu
e, o
r pi
nk fo
r th
eir
bear
’s c
olor
. If a
fath
er r
and
omly
sel
ects
two
bear
co
lors
, wha
t is
the
prob
abili
ty th
at h
e w
ill s
elec
t a w
hite
bea
r fo
r hi
s so
n an
d a
pin
k be
ar fo
r hi
s d
augh
ter?
The
fath
er c
anno
t pic
k th
e sa
me
colo
r fo
r bo
th b
ears
.
5.
WRI
TIN
G If
you
ran
dom
ly s
elec
t thr
ee o
f you
r la
st s
even
wri
ting
ass
ignm
ents
to
subm
it to
an
essa
y co
ntes
t, w
hat i
s th
e pr
obab
ility
that
you
will
sel
ect y
our
firs
t, fo
urth
, and
six
th e
ssay
s in
that
ord
er?
1–5.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x fo
r tre
e di
agra
ms.
1–5.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x fo
r tre
e di
agra
ms.
5,04
0 ou
tcom
es5,
040
outc
omes
60 o
utco
mes
60 o
utco
mes 24
out
com
es24
out
com
es
96 o
utco
mes
96 o
utco
mes
336
way
s33
6 w
ays
15,1
20 w
ays
15,1
20 w
ays
24 w
ays
24 w
ays
1 _ 30
1 _ 30
1 _
210
1 _
210
Extr
a Pr
acti
ce
691
691_
0686
_070
3_E
M_8
7404
669
110
/2/0
712
:52:
20P
M
Extra Practice
Less
on 8
-8
Page
s 43
8–44
3
Det
erm
ine
wh
eth
er e
ach
con
clu
sion
is v
alid
. Ju
stif
y yo
ur
answ
er.
1.
To
det
erm
ine
whe
ther
mos
t stu
den
ts p
arti
cipa
te in
aft
er s
choo
l act
ivit
ies,
the
prin
cipa
l of H
umbe
rson
Mid
dle
Sch
ool r
and
omly
sur
veye
d 7
5 st
uden
ts fr
om e
ach
grad
e le
vel.
Of t
hese
, 34%
sai
d th
ey p
arti
cipa
te in
aft
er s
choo
l act
ivit
ies.
The
pr
inci
pal c
oncl
uded
that
abo
ut a
thir
d o
f the
stu
den
ts a
t Hum
bers
on M
idd
le
Scho
ol p
arti
cipa
te in
aft
er s
choo
l act
ivit
ies.
2.
To
eval
uate
thei
r pr
oduc
t, th
e m
anag
er o
f an
asse
mbl
y lin
e in
spec
ted
the
firs
t 10
0 w
atch
es p
rod
uced
on
Mon
day
. Of t
hese
, 2 w
ere
def
ecti
ve. T
he m
anag
er
conc
lud
ed th
at a
bout
2%
of a
ll w
atch
es p
rod
uced
are
def
ecti
ve.
3.
A te
levi
sion
pro
gram
ask
ed it
s vi
ewer
s to
dia
l one
of t
wo
phon
e nu
mbe
rs
ind
icat
ing
thei
r pr
efer
ence
for
one
of tw
o br
and
s of
sha
mpo
o. O
f tho
se th
at
resp
ond
ed, 7
6% s
aid
they
pre
fer
Bra
nd A
. The
pro
gram
con
clud
ed th
at B
rand
A
was
the
mos
t pop
ular
bra
nd o
f sha
mpo
o.
Less
on 8
-9
Page
s 44
4–44
9
Wh
ich
gra
ph
cou
ld b
e m
isle
adin
g? E
xpla
in y
our
reas
onin
g.
1.
Bot
h gr
aphs
sho
w p
ound
s of
gra
pes
2.
Bot
h gr
aphs
sho
w c
omm
issi
ons
sold
to W
estv
iew
Sch
ool i
n on
e w
eek.
m
ade
by M
r. Tu
rner
for
a fo
ur-w
eek
p
ay p
erio
d.
MT
WTh
F
30 20 104050
Pounds
Day
0
Grap
h A
MT
WTh
F
23 22 2124 Pounds
Day
20 0
Grap
h B
12
34
300
200
400
Commission ($)
Wee
k
0
Grap
h A
12
34
600
800
200
400
1000
Commission ($)
Wee
k
0
Grap
h B
Less
on 9
-1
Page
s 46
0–46
4
Use
the
spin
ner
at t
he
righ
t to
fin
d e
ach
pro
bab
ilit
y. W
rite
as
a fr
acti
on in
sim
ple
st f
orm
.
1.
P(e
ven
num
ber)
2.
P(p
rim
e nu
mbe
r)
32
18
7 65
4
3.P
(fac
tor
of 1
2)
4.P
(com
posi
te n
umbe
r)
5.
P(g
reat
er th
an 1
0)
6.P
(nei
ther
pri
me
nor
com
posi
te)
A p
ack
age
of b
allo
ons
con
tain
s 5
gree
n, 3
yel
low
, 4 r
ed, a
nd
8 p
ink
b
allo
ons.
Su
pp
ose
you
rea
ch in
the
pac
kag
e an
d c
hoo
se o
ne
bal
loon
at
ran
dom
. Fin
d th
e p
rob
abil
ity
of e
ach
eve
nt.
Wri
te a
s a
frac
tion
in
sim
ple
st f
orm
.
7.
P(r
ed b
allo
on)
8.
P(y
ello
w b
allo
on)
9.
P(p
ink
ballo
on)
10.
P(o
rang
e ba
lloon
)
11.P
(red
or
yello
w b
allo
on)
12.P
(not
gre
en b
allo
on)
1–3.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
1–3.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
1, 2
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.1,
2. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
1 _ 2 1 _ 2 1 _ 2 1 _ 2
5 _ 8 5 _ 8 3 _ 8 3 _ 8
00 1 _ 8 1 _ 8
1 _ 5 1 _ 5 3 _ 20
3 _ 20
2 _ 5 2 _ 5
00
11.
7 _ 20
11.
7 _ 20 3 _ 4 3 _ 4
690
Extr
a Pr
acti
ce
690_
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3_E
M_8
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669
010
/2/0
712
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18P
M
12_0668_0703_EM-874048 1212_0668_0703_EM-874048 12 11/29/07 6:21:28 PM11/29/07 6:21:28 PM
Extr
a Pr
actic
e
692–693 Extra Practice
Extra Practice
Less
on 9
-8
Page
s 49
2–49
7
1.
COIN
S Tw
o ev
enly
bal
ance
d n
icke
ls a
re to
ssed
. Fin
d th
e pr
obab
ility
that
one
hea
d
and
one
tail
resu
lt.
2.
MO
NEY
A w
alle
t con
tain
s fo
ur $
5 bi
lls, t
wo
$10
bills
, and
eig
ht $
1 bi
lls. A
bill
is
rand
omly
sel
ecte
d. F
ind
P($
5 or
$1)
.
3.
PRO
BABI
LITY
Tw
o ch
ips
are
sele
cted
from
a b
ox c
onta
inin
g 6
blue
chi
ps, 4
red
ch
ips,
and
3 g
reen
chi
ps. T
he fi
rst c
hip
sele
cted
is r
epla
ced
bef
ore
the
seco
nd is
d
raw
n. F
ind
P(r
ed, g
reen
).
4.
PRO
BABI
LITY
A b
ag c
onta
ins
7 bl
ue, 4
ora
nge,
8 r
ed, a
nd 5
pur
ple
mar
bles
. Sup
pose
on
e m
arbl
e is
cho
sen
and
not
rep
lace
d. A
sec
ond
mar
ble
is th
en c
hose
n. F
ind
P
(pur
ple,
red
).
Less
on 1
0-1
Page
s 51
0–51
3
Cla
ssif
y ea
ch a
ngl
e as
acu
te, r
ight
, obt
use,
or
stra
ight
.
1.
2.
3.
4.
5.
Id
enti
fy a
pai
r of
ver
tica
l ang
les
in th
e
dia
gram
at t
he r
ight
.
6.
Id
enti
fy a
pai
r of
ad
jace
nt a
ngle
s in
the
dia
gram
at t
he r
ight
.
Less
on 1
0-2
Page
s 51
4–51
7
Cla
ssif
y ea
ch p
air
of a
ngl
es a
s co
mpl
emen
tary
, sup
plem
enta
ry, o
r ne
ithe
r.
1.
45 45
2.
12
3.
12
Fin
d th
e va
lue
of x
in e
ach
fig
ure
.
4.
40x
5.
35˚
x˚
6.
x
20
5 _ 69
5 _ 69
Extr
a Pr
acti
ce
69
3
12
_
169
6 _ 7
1 _ 4
40
supp
lem
enta
ry
com
plem
enta
ry
5516
0
com
plem
enta
ry
right
obtu
sest
raig
htac
ute
∠1
and ∠
3
Sam
ple
answ
er: ∠
1 an
d ∠
2
693_
0686
_070
3_E
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669
310
/2/0
712
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24P
M
Extra Practice
Less
on 9
-5
Page
s 48
0–48
3
1.
EXER
CISE
How
man
y w
ays
can
you
choo
se to
exe
rcis
e th
ree
day
s of
a w
eek?
2.
BOO
KS I
n ho
w m
any
way
s ca
n si
x bo
oks
be s
elec
ted
from
a c
olle
ctio
n of
12?
3.
REPO
RTS
In h
ow m
any
way
s ca
n yo
u se
lect
thre
e re
port
topi
cs fr
om a
tota
l of
8 to
pics
?
4.
GRO
UPS
How
man
y w
ays
can
four
stu
den
ts b
e ch
osen
from
a c
lass
of 2
6?
5.
ROLL
ER C
OAS
TERS
In
how
man
y w
ays
can
you
rid
e fi
ve o
ut o
f nin
e ro
ller
coas
ters
if
you
don
’t ca
re in
wha
t ord
er y
ou r
ide
them
?
Less
on 9
-6
Page
s 48
4–48
5
Use
the
act
it o
ut s
trat
egy
to s
olve
eac
h p
rob
lem
.
1.
STAI
RS L
ynne
tte
lives
on
a ce
rtai
n fl
oor
of h
er a
part
men
t bui
ldin
g. S
he g
oes
up
two
flig
hts
of s
tair
s to
put
a lo
ad o
f lau
ndry
in a
was
hing
mac
hine
on
that
floo
r. T
hen
she
goes
dow
n fi
ve fl
ight
s to
bor
row
a b
ook
from
a fr
iend
. Nex
t, sh
e go
es
up 8
flig
hts
to v
isit
ano
ther
frie
nd w
ho is
ill.
How
man
y fl
ight
s up
or
dow
n d
oes
Lyne
tte
now
hav
e to
go
to ta
ke h
er la
und
ry o
ut o
f the
was
hing
mac
hine
?
2.
LOGI
C PU
ZZLE
Sup
pose
you
are
on
the
wes
t sid
e of
a r
iver
wit
h a
fox,
a d
uck,
an
d a
bag
of c
orn.
You
wan
t to
take
all
thre
e to
the
othe
r si
de
of th
e ri
ver,
but .
. .
• y
our
boat
is o
nly
larg
e en
ough
to c
arry
you
an
d e
ithe
r th
e fo
x, d
uck,
or
bag
of c
orn.
•
you
can
not l
eave
the
fox
alon
e w
ith
the
duc
k.
• y
ou c
anno
t lea
ve th
e d
uck
alon
e w
ith
the
corn
. •
you
can
not l
eave
the
corn
alo
ne o
n th
e ea
st s
ide
of th
e ri
ver
beca
use
som
e w
ild b
ird
s w
ill e
at it
.•
the
wild
bir
ds
are
afra
id o
f the
fox.
•
you
can
not l
eave
the
fox,
duc
k, a
nd th
e co
rn a
lone
. •
you
can
bri
ng s
omet
hing
acr
oss
the
rive
r m
ore
than
onc
e.
If th
ere
is n
o ot
her
way
to c
ross
the
rive
r, ho
w d
o yo
u ge
t eve
ryth
ing
to th
e ot
her
sid
e?
Less
on 9
-7
Page
s 48
6–49
0
Th
e fr
equ
ency
tab
le s
how
s th
e re
sult
s of
a f
air
nu
mb
er c
ub
e ro
lled
40
tim
es.
1.
Fin
d th
e ex
peri
men
tal p
roba
bilit
y of
rol
ling
a 4.
2.
Fin
d th
e th
eore
tica
l pro
babi
lity
of not
rol
ling
a 4.
3.
Fin
d th
e th
eore
tica
l pro
babi
lity
of r
ollin
g a
2.
Face
Freq
uenc
y
15
29
32
48
512
64
4.
Fin
d th
e ex
peri
men
tal p
roba
bilit
y of
not
rol
ling
a 6.
5.
Sup
pose
the
num
ber
cube
was
rol
led
500
tim
es.
Abo
ut h
ow m
any
tim
es w
ould
it la
nd o
n 5?
35 w
ays
35 w
ays
924
way
s92
4 w
ays
56 w
ays
56 w
ays
14,9
50 w
ays
14,9
50 w
ays
126
way
s12
6 w
ays
3 fli
ghts
up
3 fli
ghts
up
Firs
t car
ry th
e du
ck a
cros
s th
e riv
er a
nd b
ring
the
boat
ba
ck e
mpt
y. Th
en c
arry
the
fox
acro
ss th
e riv
er a
nd
carr
y th
e du
ck b
ack.
The
n ca
rry
the
corn
acr
oss
the
river
and
brin
g th
e bo
at
back
em
pty.
Fina
lly c
arry
th
e du
ck a
cros
s th
e riv
er.
Firs
t car
ry th
e du
ck a
cros
s th
e riv
er a
nd b
ring
the
boat
ba
ck e
mpt
y. Th
en c
arry
the
fox
acro
ss th
e riv
er a
nd
carr
y th
e du
ck b
ack.
The
n ca
rry
the
corn
acr
oss
the
river
and
brin
g th
e bo
at
back
em
pty.
Fina
lly c
arry
th
e du
ck a
cros
s th
e riv
er.
150
150
69
2
Extr
a Pr
acti
ce
5 _ 6
1 _ 5
9 _ 10
1 _ 6
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210
/2/0
712
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Extra Practice
Extra Practice 694–695
Extra Practice
Less
on 1
0-7
Page
s 54
0–54
5
Fin
d th
e va
lue
of x
in e
ach
pai
r of
sim
ilar
fig
ure
s.
1,
8 cmA
C
B
D5
cm
EF G
H
4 cm
x
2.
10 ft
I
KJ
L
NM
10 ft
15 ft
15 ft
12 ft
x
3.
10 ft
R6 ftO
P Q
V15 ft
S
T U
x
4.
2 in
.
3 in
.
WZ
Y
x
4 in
.
6 in
.
AC
B
7 in
.
5.
13.5
cm
F
ED
I
HG
13.5
cm
x
40.5
cm
6.
J
x2.
5 m
24.5
m
7 m
LPO
NK M
Less
on 1
0-8
Page
s 54
6–55
1
Det
erm
ine
wh
eth
er e
ach
fig
ure
is a
pol
ygon
. If
it is
, cla
ssif
y th
e p
olyg
on
and
sta
te w
het
her
it is
reg
ula
r. If
it is
not
a p
olyg
on, e
xpla
in w
hy.
1.
2.
3.
4.
5.
6.
Fin
d th
e m
easu
re o
f an
an
gle
in e
ach
pol
ygon
if p
olyg
on is
reg
ula
r. R
oun
d to
the
nea
rest
ten
th o
f a
deg
ree
if n
eces
sary
.
7.
tri
angl
e
8. 3
0-go
n
9. 1
8-go
n
10.
14-g
on
11.
hex
agon
12
. no
nago
n
13.
27-g
on
14.
octa
gon
deca
gon,
not r
egul
arde
cago
n,no
t reg
ular
tria
ngle
, reg
ular
tria
ngle
, reg
ular
not a
pol
ygon
, sid
es a
re c
urve
dno
t a p
olyg
on, s
ides
are
cur
ved
not a
pol
ygon
, sid
es a
re c
urve
dno
t a p
olyg
on, s
ides
are
cur
ved
octa
gon,
no
t reg
ular
octa
gon,
no
t reg
ular
not a
pol
ygon
, fig
ure
is n
ot c
lose
dno
t a p
olyg
on,
figur
e is
not
clo
sed
60°
60°
168°
168°
160°
160°
154.
3°15
4.3°
120°
120°
140°
140°
166.
7°16
6.7°
135°
135°
Extr
a Pr
acti
ce
695
2.5
cm8
ft
25 ft
3.5
in.
40.5
cm
8.75
m
695_
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Extra Practice
Less
on 1
0-3
Page
s 51
8–52
3
Dis
pla
y ea
ch s
et o
f d
ata
in a
cir
cle
grap
h.
1.
Car S
ales
Styl
ePe
rcen
t
seda
n45
%
SUV
22%
pick
up tr
uck
9%
spor
ts c
ar13
%
com
pact
car
11%
2.
Favo
rite
Flav
or o
f Ice
Cre
am
Flav
orN
umbe
r
vani
lla11
choc
olat
e15
stra
wbe
rry
8
min
t chi
p5
cook
ie d
ough
3
Less
on 1
0-4
Page
s 52
4–52
9
Fin
d th
e va
lue
of x
.
1.
40˚
x˚2.
25˚
20˚
x˚
3.
130
30x
Cla
ssif
y ea
ch tr
ian
gle
by
its
angl
es a
nd
by
its
sid
es.
4.
5.
6.
Less
on 1
0-5
Page
s 53
0–53
1
Use
the
logi
cal r
easo
ning
str
ateg
y to
sol
ve e
ach
pro
ble
m.
1.
GEO
MET
RY D
raw
sev
eral
isos
cele
s tr
iang
les
and
mea
sure
thei
r ang
les.
Wha
t do
you
notic
e ab
out t
he m
easu
res
of th
e an
gles
of a
n is
osce
les
tria
ngle
.
2.
BAS
KETB
ALL
Plac
ido,
Dex
ter,
and
Sco
tt p
lay
guar
d, f
orw
ard
, and
cen
ter
on a
team
, bu
t not
nec
essa
rily
in th
at o
rder
. Pla
cid
o an
d th
e ce
nter
dro
ve S
cott
to p
ract
ice
on
Satu
rday
. Pla
cid
o d
oes
not p
lay
guar
d. W
ho is
the
guar
d?
Less
on 1
0-6
Page
s 53
3–53
9
Cla
ssif
y ea
ch q
uad
rila
tera
l usi
ng
the
nam
e th
at b
est
des
crib
es it
.
1.
2.
3.
Fin
d th
e m
issi
ng
angl
e m
easu
re in
eac
h q
uad
rila
tera
l.
4.
93˚
101˚
72˚
x˚
5.
54˚
113˚
x˚
6.
64˚
59˚ 84˚
x˚
1, 2
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
694
Extr
a Pr
acti
ce
acut
e, s
cale
nerig
ht, s
cale
ne
acut
e, e
quila
tera
l
5013
520
squa
repa
ralle
logr
amqu
adril
ater
al
94°
103°
153°
1, 2
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
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Extr
a Pr
actic
e
696–697 Extra Practice
Extra Practice
Less
on 1
1-1
Page
s 57
0–57
4
Fin
d th
e ar
ea o
f ea
ch p
aral
lelo
gram
. Rou
nd
to th
e n
eare
st te
nth
if
nec
essa
ry.
1.
3 m
4 m
2.
12 m
9 m
3.
19 ft
23 ft
4.
bas
e =
19
m
5. b
ase
= 1
35 in
.he
ight
= 6
m
hei
ght =
15
in.
6.
bas
e =
8.2
cm
7.
bas
e =
29.
3 m
heig
ht =
5.5
cm
h
eigh
t = 1
0.1
m
Less
on 1
1-2
Page
s 57
6–58
0
Fin
d th
e ar
ea o
f ea
ch f
igu
re. R
oun
d to
the
nea
rest
ten
th if
nec
essa
ry.
1.
10 ft4
ft
2.
5 cm
6 cm 3
cm
3.
15 c
m
3 cm
8 cm
5 cm
4 cm
4.
tri
angl
e: b
ase
= 5
in.,
heig
ht =
9 in
.
5.
tra
pezo
id: b
ases
= 3
cm
and
8 c
m, h
eigh
t = 1
2 cm
6.
tra
pezo
id: b
ases
= 1
0 ft
and
15
ft, h
eigh
t = 1
2 ft
7.
tri
angl
e: b
ase
= 1
2 cm
, hei
ght =
8 c
m
8.
tra
pezo
id: b
ases
= 8
2.6
cm a
nd 7
2.2
cm, h
eigh
t = 4
4.5
cm
9.
tri
angl
e: b
ase
= 5
00.5
ft, h
eigh
t = 2
54.5
ft
Less
on 1
1-3
Page
s 58
2–58
6
Fin
d th
e ci
rcu
mfe
ren
ce o
f ea
ch c
ircl
e. U
se 3
.14
or 22
_
7 for
π. R
oun
d to
th
e n
eare
st te
nth
if n
eces
sary
.
1.
8 ft
2.
3 in
.
3.
0.5
m
4.
4
ft1 4
5.
r =
1 m
6.
d =
2 y
d
7.d
= 5
,280
ft
8.
r =
0.5
cm
9.
d =
6.4
m
10.
r =
10.
7 km
11.
d =
3 _
16
in.
12
.r
= 5
1 _ 2 mi
13.
d =
42 3 _ 4 f
t
Extr
a Pr
acti
ce
69
7
63,6
88.6
ft 2
20 ft
2 7.
5 c m
2
3,44
4.3
c m 2
48 c
m 2
150
f t 2
66 c
m 2
34.5
c m
2
22.5
i n 2
295.
9 m
2 45
.1 c
m 2
2,02
5 i n
2 11
4 m
2
437
ft 2
12 m
2 10
8 m
2
25.1
ft18
.8 in
.1.
6 m
26 5 _ 7 f
t
6.3
m6.
3 yd
16,5
79.2
ft
3.1
cm20
.1 m
67.2
km
33 _ 56 in
.34
4 _ 7 mi
134
5 _ 14 f
t
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Extra Practice
Less
on 1
0-9
Page
s 55
3–55
7
1.
Tran
slat
e �
AB
C
2 un
its
righ
t and
1
unit
dow
n.
xO
y
AB
C
2.
Tran
slat
e qu
adri
late
ral
RST
U 4
uni
ts le
ft
and
3 u
nits
d
own.
xOy
R
T
U
S
Tria
ngl
e T
RI
has
ver
tice
s T
(1, 1) , R
(4, -
2 ) , a
nd
I (-
2, -
1 ) . F
ind
the
vert
ices
of
T'R
'I' a
fter
eac
h tr
ansl
atio
n. T
hen
gra
ph
the
figu
re a
nd
its
tran
slat
ed im
age.
3.
2 u
nits
rig
ht, 1
uni
t dow
n
4.
5 u
nits
left
, 1 u
nit u
p
5.
3 u
nits
rig
ht
6.
2 u
nits
up
Less
on 1
0-10
Pa
ges
558–
562
Det
erm
ine
wh
eth
er e
ach
fig
ure
has
lin
e sy
mm
etry
. Wri
te y
es o
r no
. If
so, c
opy
the
figu
re a
nd
dra
w a
ll li
nes
of
sym
met
ry.
1.
2.
3.
4.
5.
6.
Gra
ph
eac
h f
igu
re a
nd
its
refl
ecti
on o
ver
the
x-ax
is. T
hen
fin
d th
e co
ord
inat
es o
f th
e ve
rtic
es o
f th
e re
flec
ted
imag
e.
7.
qua
dri
late
ral Q
UA
D w
ith
vert
ices
Q ( -
1, 4
) , U
( 2, 2
) , A
( 1, 1
) ,
and
D ( -
2, 2
)
8.
tri
angl
e �
AB
C w
ith
vert
ices
A ( 0
, -1)
, B ( 4
, -3)
, and
C ( -
4, -
5)
Gra
ph
eac
h f
igu
re a
nd
its
refl
ecti
on o
ver
the
y-ax
is. T
hen
fin
d th
e co
ord
inat
es o
f th
e ve
rtic
es o
f th
e re
flec
ted
imag
e.
9.
par
alle
logr
am P
AR
L w
ith
vert
ices
P ( 3
, 5) ,
A ( 5
, 4) ,
R ( 5
, 1) ,
an
d L
( 3, 2
)
10.
pen
tago
n P
EN
TA w
ith
vert
ices
P ( -
1, 3
) , E
( 1, 1
) , N
( 0, -
2) , T
( -2,
-2)
, an
d A
( -3,
1)
69
6
Extr
a Pr
acti
ce
T ' (1,
3) , R
' (4,
0) I '
(-
2, 1)
T ' (4,
1) , R
' (7,
-2 )
, I ' (
1, -
1 )
T ' (3,
0) , R
' (6,
-3 )
, I ' (
0, -
2 )
T ' (-
4, 2) , R
' (-
1, -
1 ) , I
' (-
7, 0)
3–6.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x fo
r gra
phs.
P ' (1,
3) , E
' (-
1, 1) , N
' (0,
-2 )
, T ' (
2, -
2 ) , A
' (3,
1)
7. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
P ' (-
3, 5) , A
' (-
5, 4) ,
R ' (-
5, 1) , L
' (-
3, 2)
A' (0,
1) , B
' (4,
3) ,
C ' (-
4, 5)
1, 2
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
yes
noye
s
noye
sye
s
8. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix
for g
raph
.
9, 1
0. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix
for g
raph
s.
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Extra Practice
Extra Practice 698–699
Extra Practice
Less
on 1
1-6
Page
s 69
4–69
7
Fin
d th
e ar
ea o
f ea
ch f
igu
re. R
oun
d to
the
nea
rest
ten
th if
nec
essa
ry.
1.
2.
3.
16 ft
8 ft
8 ft
8 ft
8 ft
4 m
12 m
12 m
4 m
12 m
20 in
.
25 in
.
5 in
.
10 in
.
15 in
.
4.
5.
6.
8 cm
42 c
m
8 cm
14 c
m
7 cm
15 c
m
15 c
m
2.5
ft
1.5
ft5.
5 ft
6 f t
9 cm
5 cm
7.5
cm
5 cm
7.
5 in
.
30 in
.r= 6
.25
in.
r= 6
.25
in.
8.
16 m
8.2
m
8.2
m
42 m
15 m
15 m
9.
7m
m
7m
m
Less
on 1
1-7
Page
s 60
1–60
4
For
each
fig
ure
, id
enti
fy th
e sh
ape
of th
e b
ase(
s). T
hen
cla
ssif
y th
e fi
gure
.
1.
2.
3.
4.
5.
6.
7.
SOUP
Cla
ssif
y th
e sh
ape
of a
sou
p ca
n as
a th
ree-
dim
ensi
onal
figu
re.
8.
APPL
IAN
CES
Cla
ssif
y th
e sh
ape
of a
mic
row
ave
oven
as
a th
ree-
dim
ensi
onal
figu
re.
Extr
a Pr
acti
ce
69
9
503.
9 m
m 2
993
m 2
142.
7 in
2
1,14
4.5
cm 2
110.
7 cm
239
.6 ft
2
300
in 2
304
m 2
256
f t 2
rect
angl
e; re
ctan
gula
r pr
ism
none
; sp
here
circ
le;
cone
tria
ngle
; tria
ngul
ar p
yram
idpe
ntag
on; p
enta
gona
l pr
ism
squa
re; s
quar
e py
ram
idcy
linde
r
rect
angu
lar p
rism
699_
0686
_070
3_E
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712
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42P
M
Extra Practice
Less
on 1
1-4
Page
s 58
7–59
1
Fin
d th
e ar
ea o
f ea
ch c
ircl
e. R
oun
d to
the
nea
rest
ten
th.
1.
6 cm
2.
2 yd
3.
1 in
.
4.
rad
ius
= 8
in.
5. d
iam
eter
= 5
ft
6. r
adiu
s =
24
cm
7.
dia
met
er =
2.3
m
8. d
iam
eter
= 8
2 ft
9.
rad
ius
= 6
8 cm
10.
rad
ius
= 9
.8 m
i 11
. d
iam
eter
= 2
5.6
m
12.
dia
met
er =
6.7
5 in
.
13.
rad
ius
= 1
1 _ 4 ft
14.
dia
met
er =
5 2 _ 3 y
d
15.
dia
met
er =
45 1 _ 2 m
i
Less
on 1
1-5
Page
s 59
2–59
3
Use
the
solv
e a
sim
pler
pro
blem
str
ateg
y to
sol
ve e
ach
pro
ble
m.
1.
EAR
NIN
GS C
edri
c m
akes
$51
,876
eac
h ye
ar. I
f he
is p
aid
onc
e ev
ery
two
wee
ks a
nd a
ctua
lly ta
kes
hom
e ab
out 6
7% o
f his
wag
es a
fter
ta
xes,
how
muc
h d
oes
he ta
ke h
ome
each
pay
chec
k? R
ound
to th
e ne
ares
t cen
t if n
eces
sary
.
2.
CAR
S Jo
rge
plan
s to
dec
orat
e th
e ri
ms
on h
is ti
res
by p
utti
ng a
str
ip
of s
hiny
met
al a
roun
d th
e ou
tsid
e ed
ge o
n ea
ch r
im. T
he d
iam
eter
of
each
tire
is 1
7 in
ches
, and
eac
h ri
m is
2.7
5 in
ches
from
the
outs
ide
edge
of e
ach
tire
. If h
e pl
ans
to c
ut th
e fo
ur in
div
idua
l pie
ces
for
each
tire
from
the
sam
e st
rip
of m
etal
, how
long
of a
str
ip s
houl
d h
e bu
y? R
ound
to th
e ne
ares
t ten
th.
3.
SAV
INGS
Eri
n’s
aunt
inve
sted
a to
tal o
f $1,
500
into
thre
e d
iffe
rent
sa
ving
s ac
coun
ts. S
he in
vest
ed $
450
into
a s
avin
gs a
ccou
nt w
ith
an
annu
al in
tere
st r
ate
of 3
.25%
and
$60
0 in
to a
sav
ings
acc
ount
wit
h an
an
nual
inte
rest
rat
e of
4.7
5%. T
he th
ird
sav
ings
acc
ount
had
an
annu
al in
tere
st r
ate
of 4
.375
%. A
fter
3 y
ears
, how
muc
h m
oney
will
E
rin’
s au
nt h
ave
in th
e th
ree
acco
unts
alt
oget
her
if s
he m
ade
no
mor
e ad
dit
iona
l dep
osit
s or
wit
hdra
wal
s? R
ound
to th
e ne
ares
t cen
t.
BIO
LOGY
For
Exe
rcis
es 4
–6, u
se th
e fo
llow
ing
info
rmat
ion
.A
bout
five
qua
rts
of b
lood
are
pum
ped
thro
ugh
the
aver
age
hum
an
hear
t in
one
min
ute.
4.
At t
his
rate
, how
man
y qu
arts
of b
lood
are
pum
ped
thro
ugh
the
aver
age
hum
an h
eart
in o
ne y
ear?
(Use
365
day
s =
1 y
ear)
5.
If t
he a
vera
ge h
eart
bea
ts 7
2 ti
mes
per
min
ute,
how
man
y qu
arts
of
bloo
d a
re p
umpe
d w
ith
each
bea
t? R
ound
to th
e ne
ares
t ten
th.
6.
Abo
ut h
ow m
any
tota
l gal
lons
of b
lood
are
pum
ped
thro
ugh
the
aver
age
hum
an h
eart
in o
ne w
eek?
7.
LAN
D A
rec
tang
ular
plo
t of l
and
mea
sure
s 1,
450
feet
by
850
feet
. A
cont
ract
or w
ishe
s to
sec
tion
off
a p
orti
on o
f thi
s la
nd to
bui
ld a
n ap
artm
ent c
ompl
ex. I
f the
com
plex
is 4
25 fe
et b
y 55
0 fe
et, h
ow m
any
squa
re fe
et o
f lan
d w
ill n
ot b
e se
ctio
ned
off
to b
uild
it?
69
8
Extr
a Pr
acti
ce
28.3
cm
2 12
.6 y
d 2 3.
1 in
2
201.
0 in
2 19
.6 f t
2 6.
1,8
08.6
c m
2
4.2
m 2
5,27
8.3
f t 2
301.
6 m
i 2
12. 3
5.8
in 2
4.9
ft 2
9, 1
1, 1
4, 1
5. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
$1,3
36.8
0 144.
5 in
.
$1,6
88.4
4
2,62
8,00
0 qt
0.1
qt
abou
t 12,
600
gal
998,
750
ft 2
698_
0686
_070
3_E
M_8
7404
669
810
/2/0
712
:52:
40P
M
16_0668_0703_EM-874048 1616_0668_0703_EM-874048 16 11/29/07 6:21:51 PM11/29/07 6:21:51 PM
Extr
a Pr
actic
e
700–701 Extra Practice
Extra Practice
Less
on 1
1-10
Pa
ges
617–
621
Fin
d th
e vo
lum
e of
eac
h c
ylin
der
. Rou
nd
to th
e n
eare
st te
nth
. Use
3.1
4 fo
r π.
1.
2 cm
4 cm
2.3
yd
6.5
yd
3.
7.5
mm
16 m
m
4.
4.5
in.
1.5
in.
5.
rad
ius
= 6
in.
heig
ht =
3 in
.
6.ra
diu
s =
8 ft
heig
ht =
10
ft
7.ra
diu
s =
6 k
mhe
ight
= 1
2 km
8.
rad
ius
= 8
.5 c
mhe
ight
= 3
cm
9.d
iam
eter
= 1
6 yd
heig
ht =
4.5
yd
10
.d
iam
eter
= 3
.5 m
mhe
ight
= 2
.5 m
m 24
.0 m
m 3
24.0
m m
3
11.
dia
met
er =
12
mhe
ight
= 4
.75
m
12.
dia
met
er =
5 _ 8 in.
heig
ht =
4 in
.
13.
dia
met
er =
100
fthe
ight
= 3
5 ft
274
,750
ft 3
274,
750
ft 3
14.
rad
ius
= 4
0.5
mhe
ight
= 6
5.1
m
15.
rad
ius
= 0
.5 c
mhe
ight
= 1
.6 c
m
16.
dia
met
er =
8 3 _ 4 i
n.
heig
ht =
5 1 _ 2 i
n. 3
30.6
in 3
330.
6 in
3
17.
Fin
d th
e vo
lum
e of
a c
ylin
der
who
se d
iam
eter
is 6
inch
es a
nd h
eigh
t is
2 fe
et.
Rou
nd to
the
near
est t
enth
. 1
8. H
ow ta
ll is
a c
ylin
der
that
has
a v
olum
e of
2,1
23 c
ubic
met
ers
and
a r
adiu
s of
13 m
eter
s? R
ound
to th
e ne
ares
t ten
th.
19.
A c
ylin
der
has
a v
olum
e of
310
.2 c
ubic
yar
ds
and
a r
adiu
s of
2.9
yar
ds.
Wha
t is
the
heig
ht o
f the
cyl
ind
er?
Rou
nd to
the
near
est t
enth
. 2
0. F
ind
the
heig
ht o
f a c
ylin
der
who
se d
iam
eter
is 2
5 ce
ntim
eter
s an
d v
olum
e is
8,
838
cubi
c ce
ntim
eter
s. R
ound
to th
e ne
ares
t ten
th.
Less
on 1
2-1
Page
s 63
4–63
7
Est
imat
e ea
ch s
qu
are
root
to th
e n
eare
st w
hol
e n
um
ber
.
1.
√
�
27
2.
√ �
�
112
3.
√
��
249
4.
√
�
88
5.
√ �
�
1,50
0
6.
√ �
�
612
7.
√
��
340
8.
√
��
495
9.
√
��
264
10.
√
��
350
11
. √
��
834
12
. √
��
3,70
0
13.
√
��
298
14
. √
��
101
15
. √
��
800
Gra
ph
eac
h s
qu
are
root
on
a n
um
ber
lin
e.
16.
√
�
58
17.
√ �
�
750
18
. √
��
1,20
0
19.
√
��
1,00
0
20.
√ �
�
5,90
0
21.
√ �
�
999
22.
√
��
374
23
. √
��
512
24
. √
��
3,75
0
25.
√
��
255
26
. √
�
83
27.
√ �
�
845
28.
√
��
200
29
. √
��
500
30
. √
��
�
10,0
01
31.
ALGE
BRA
Eva
luat
e √
��
a -
b t
o th
e ne
ares
t ten
th if
a =
16
and
b =
4.
32.
ALGE
BRA
Estim
ate
the
valu
e of
√ �
��
x +
y to
the
near
est w
hole
num
ber
if x
= 6
4 an
d
y =
25.
0.4
ft 3
or 6
78.2
in 3
0.4
ft 3
or 6
78.2
in 3
4.0
m4.
0 m
11.7
yd
11.7
yd
18.0
cm
18.0
cm
551111
1616
993939
2525
18182222
1616
19192929
6161
17171010
2828
3.5
3.5
99
Extr
a Pr
acti
ce
70
1
50.2
c m
3
45.9
y d 3 2,
826
mm
3 23
.8 i n
3
2,00
9.6
ft 3
7. 1
,356
.5 k
m 3
680.
6 c m
3 90
4.3
yd 3
536.
9 m
3 1.
2 i n
3
1.3
cm 3
339.
1 in
3
335,
290.
1 m
3
16–3
0. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
701_
0686
_070
3_E
M_8
7404
670
110
/2/0
712
:52:
49P
M
Extra Practice
Less
on 1
1-8
Page
s 60
6–61
0
Dra
w a
top
, a s
ide,
an
d a
fro
nt v
iew
of
each
sol
id.
1.
2.3.
Dra
w e
ach
sol
id u
sin
g th
e to
p, s
ide,
an
d f
ron
t vie
ws
show
n.
Use
isom
etri
c d
ot p
aper
.
4.
top
side
front
5.to
psi
defro
nt
Less
on 1
1-9
Page
s 61
1–61
6
Fin
d th
e vo
lum
e of
eac
h p
rism
. Rou
nd
to th
e n
eare
st te
nth
if
nec
essa
ry.
1.
2.
3.
4.
4 ft 1 ft
6 ft
8.5
cm
2 cm
2 cm
3 m
m
4 m
m12
mm
1 2
2 yd
2 yd
yd1 2
5.
6.
35 m
11 m
5 m
7.
8.
17 y
d
11 y
d
15 y
d8
yd
8 in
.18
in.
6 in
.
8 m
m
5 m
m12
mm
Fin
d th
e vo
lum
e of
eac
h r
ecta
ngu
lar
pri
sm. R
oun
d to
the
nea
rest
ten
th
if n
eces
sary
.
9.
len
gth
= 3
ft
10.
leng
th =
18
cm
11.
leng
th =
25
mm
12
. le
ngth
= 1
.5 in
.w
idth
= 1
0 ft
w
idth
= 2
3 cm
w
idth
= 3
2 m
m
wid
th =
3 in
.he
ight
= 2
ft
hei
ght =
15
cm
hei
ght =
10
mm
h
eigh
t = 6
in.
13.
len
gth
= 4
.5 c
m
14.
leng
th =
16
mm
15
. le
ngth
= 3
1 _ 2 ft
16.
leng
th =
5 1 _ 2 i
n.
wid
th =
6.7
5 cm
w
idth
= 0
.7 m
m
wid
th =
10
ft
wid
th =
12
in.
hei
ght =
2 c
m
hei
ght =
12
mm
h
eigh
t = 6
ft
hei
ght =
3 3 _ 8 i
n.
17.
Fin
d th
e vo
lum
e of
a r
ecta
ngul
ar p
rism
wit
h a
leng
th o
f 3 y
ard
s, a
wid
th o
f 5 fe
et,
and
a h
eigh
t of 1
2 fe
et.
18.
Fin
d th
e vo
lum
e of
a tr
iang
ular
pri
sm w
hose
bas
e ha
s an
are
a of
416
squ
are
feet
an
d w
hose
hei
ght i
s 22
feet
.
70
0
Extr
a Pr
acti
ce
24 ft
3
34 c
m 3
540
ft 3
16. 2
22.8
in 3
210
ft 3
134.
4 m
m 3
60.8
c m
3
60 ft
3
11. 8
,000
m m
3 10
. 6,2
10 c
m 3
150
mm
3
2 yd
3
432
in 3
962.
5 m
3
240
mm
3
660
yd 3
12. 2
7 in
3
9,15
2 ft
3
1–5.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
700_
0686
_070
3_E
M_8
7404
670
010
/2/0
712
:52:
45P
M
17_0668_0703_EM-874048 1717_0668_0703_EM-874048 17 11/29/07 6:21:56 PM11/29/07 6:21:56 PM
Extra Practice
Extra Practice 702–703
Extra Practice
Less
on 1
2-4
Page
s 64
7–65
1
Fin
d th
e su
rfac
e ar
ea o
f ea
ch r
ecta
ngu
lar
pri
sm. R
oun
d to
the
nea
rest
te
nth
if n
eces
sary
.
1.
4 in
. 6 in
.
7 in
.
2.
15 c
m
4 cm
4 cm
3.
18 in
.
32 in
.10
in.
4. 27
yd
16 y
d10
yd
5.
len
gth
= 1
0 m
6.
len
gth
= 2
0 m
m
7. l
engt
h =
16
ft
8. l
engt
h =
52
cmw
idth
= 6
m
wid
th =
15
mm
w
idth
= 2
0 ft
w
idth
= 4
8 cm
heig
ht =
7 m
h
eigh
t = 2
5 m
m
hei
ght =
12
ft
hei
ght =
45
cm
9.
len
gth
= 8
ft
10.
leng
th =
9.4
m
11.
leng
th =
20.
4 cm
12.
len
gth
= 8
.5 m
i w
idth
= 6
.5 ft
w
idth
= 2
m
wid
th =
15.
5 cm
w
idth
= 3
mi
heig
ht =
7 ft
h
eigh
t = 5
.2 m
h
eigh
t = 8
.8 c
m
hei
ght =
5.8
mi
13.
len
gth
= 7
1 _ 4 ft
14.
leng
th =
15 2 _ 3 y
d
15.
leng
th =
4 1 _ 2 i
n.
16.
leng
th =
12.
2 m
m
w
idth
= 5
ft
wid
th =
7 1 _ 3 y
d
wid
th =
10
in.
wid
th =
7.4
mm
h
eigh
t = 6
1 _ 2 ft
hei
ght =
9 y
d
hei
ght =
8 3 _ 4 i
n.
hei
ght =
7.4
mm
17.
Fin
d th
e su
rfac
e ar
ea o
f an
open
-top
box
wit
h a
leng
th o
f 18
yard
s, a
wid
th
of 1
1 ya
rds,
and
a h
eigh
t of 1
4 ya
rds.
18.
Fin
d th
e su
rfac
e ar
ea o
f a r
ecta
ngul
ar p
rism
wit
h a
leng
th o
f 1 y
ard
, a w
idth
of
7 fe
et, a
nd a
hei
ght o
f 2 y
ard
s.
Less
on 1
2-5
Pa
ges
654–
657
Fin
d th
e su
rfac
e ar
ea o
f ea
ch c
ylin
der
. Rou
nd
to th
e n
eare
st te
nth
.
1.
3 in
.7
in.
2.
6.
5 cm
2 cm
3.
1.5
m
6 m
4.
ft
1 2
5
ft3 4
5.
hei
ght =
6 c
m
6. h
eigh
t = 1
6.5
mm
7.
heig
ht =
22
yd
8. h
eigh
t = 6
ftra
diu
s =
3.5
cm
d
iam
eter
= 1
8 m
m
rad
ius
= 1
0.5
yd
rad
ius
= 1
8.5
ft
9.
hei
ght =
10.
2 m
i 10
. he
ight
= 8
.6 c
m
11.
heig
ht =
5.8
km
12
. he
ight
= 3
2.7
md
iam
eter
= 4
mi
dia
met
er =
8.2
cm
d
iam
eter
= 3
.6 k
m
rad
ius
= 2
1.5
m
13.
hei
ght =
2 2 _ 3 y
d
14.
heig
ht =
12 3 _ 4 f
t 15
. he
ight
= 5
1 _ 5 mi
16.
heig
ht =
5 1 _ 2 i
n.
d
iam
eter
= 6
yd
r
adiu
s =
7 1 _ 4 f
t r
adiu
s =
18 1 _ 3 m
i d
iam
eter
= 3
in.
8, 1
1, 1
2, 1
4–16
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.8,
11,
12,
14–
16. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
9–12
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.9–
12. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
Extr
a Pr
acti
ce
70
3
65.9
in 2
2,70
9.4
mi 2
91
0.6
ft 2
106.
8 y d
2
2,84
6.4
f t 2
2,14
3.1
y d 2
1,44
1.3
m m
2 20
8.8
cm 2
19.6
f t 2
31.8
m 2
107.
2 c m
2
188.
4 i n
2
162
f t 2 o
r 18
yd 2
1,01
0 y d
2
231.
8 f t
2
156.
2 m
21,50
4 f t
22,
350
m m
2
344
m 2
1,72
4 yd
2
2,15
2 in
2 27
2 cm
2 18
8 in
2
307
f t 2
703_
0686
_070
3_E
M_8
7404
670
310
/2/0
712
:52:
53P
M
Extra Practice
Less
on 1
2-2
Page
s 63
8–64
3
Fin
d th
e m
issi
ng
mea
sure
of
each
tria
ngl
e. R
oun
d to
the
nea
rest
ten
th
if n
eces
sary
.
1.
4 ft
6 ft
x ft
2.
14 c
m18
cm
x cm
3.
15 ft
24 ft x
ft
4.
a =
12
cm, b
= 2
5 cm
5.
a =
5 y
d, c
= 1
0 yd
6.
b =
12
mi, c
= 2
0 m
i
7.
a =
15
yd, b
= 2
4 yd
8.
a =
4 m
, c =
12
m
9.a
= 8
mm
, b =
11
mm
10.
a =
1 m
i, c
= 3
mi
11.a
= 5
yd
, b =
8 y
d
12.b
= 7
in., c
= 1
9 in
.
13.
a =
50
km, c
= 7
5 km
14
.b
= 8
2 ft
, c =
100
ft
15.a
= 1
00 m
, b =
200
m
Less
on 1
2-3
Page
s 64
4–64
5
Use
the
mak
e a
mod
el s
trat
egy
to s
olve
eac
h p
rob
lem
.
1.
ARCH
ITEC
TURE
An
arch
itec
t is
des
igni
ng a
larg
e sk
yscr
aper
for
a lo
cal
firm
. The
sky
scra
per
is to
be
1,20
0 fe
et ta
ll, 5
00 fe
et lo
ng, a
nd 4
00 fe
et
wid
e. If
his
mod
el h
as a
sca
le o
f 80
feet
= 1
inch
, fin
d th
e vo
lum
e of
th
e m
odel
.
2.
STA
CKIN
G BO
XES
Box
A h
as tw
ice
the
volu
me
of B
ox B
. Box
B h
as
a he
ight
of 1
0 ce
ntim
eter
s an
d a
leng
th o
f 5 c
enti
met
ers.
Box
A h
as a
w
idth
of 2
0 ce
ntim
eter
s, a
leng
th o
f 10
cent
imet
ers,
and
a w
idth
of
5 ce
ntim
eter
s. W
hat i
s th
e w
idth
of B
ox B
?
3.
TRA
VEL
On
Mon
day
, Mar
a d
rove
400
mile
s as
par
t of h
er jo
urne
y to
se
e he
r si
ster
. She
dro
ve 6
0% o
f thi
s d
ista
nce
on T
uesd
ay. I
f the
d
ista
nce
she
dro
ve o
n Tu
esd
ay r
epre
sent
s on
e th
ird
of h
er to
tal
jour
ney,
how
man
y m
ore
mile
s d
oes
she
still
nee
d to
dri
ve?
4.
PIZ
ZA O
n M
ond
ay, t
here
was
a w
hole
piz
za in
the
refr
iger
ator
.
On
Tues
day
, Enr
ico
ate
1 _ 3 of t
he p
izza
. On
Wed
nesd
ay, h
e at
e 1 _ 3
of w
hat w
as le
ft. O
n T
hurs
day
, he
ate
1 _ 2 of w
hat r
emai
ned
.
Wha
t fra
ctio
nal p
art o
f the
piz
za is
left
?
5.
GARD
ENS
Mr.
Bla
ckw
ell h
as a
cir
cula
r ga
rden
in h
is b
acky
ard
. H
e w
ants
to b
uild
a c
urve
d b
rick
pat
hway
aro
und
the
enti
re
gard
en. T
he g
ard
en h
as a
rad
ius
of 1
8 fe
et. T
he d
ista
nce
from
the
cent
er o
f the
gar
den
to th
e ou
tsid
e ed
ge o
f the
bri
ck p
athw
ay
will
be
21.5
feet
. Fin
d th
e ar
ea o
f the
bri
ck p
athw
ay. R
ound
to th
e ne
ares
t ten
th. 468.
75 in
3 46
8.75
in 3
10 c
m10
cm
80 m
i80
mi
2 _ 9 2 _ 9
434.
3 ft
2 43
4.3
ft 2
70
2
Extr
a Pr
acti
ce
7.2
ft11
.3 c
m18
.7 ft
27.7
cm
8.7
yd16
mi
28.3
yd
11.3
m13
.6 m
m
2.8
mi
9.4
yd17
.7 in
.
55.9
km
57.2
ft22
3.6
m
702_
0686
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Mix
ed P
robl
em S
olvi
ng
704–705 Mixed Problem Solving
Mixed Problem Solving
1.
AIR
CON
DITI
ON
ING
Jaco
b tu
rned
on
the
air
cond
itio
ning
and
the
tem
pera
ture
in
his
apa
rtm
ent d
ecre
ased
8 d
egre
es.
Wri
te a
n in
tege
r to
rep
rese
nt th
e ch
ange
in
tem
pera
ture
. (L
esso
n 2-
1)
EART
H SC
IEN
CE F
or E
xerc
ises
2 a
nd
3, u
se
the
tab
le b
elow
. It d
escr
ibes
the
dee
pes
t la
nd
dep
ress
ion
s in
the
wor
ld in
fee
t bel
ow
sea
leve
l.
Dept
h (ft
)
220
436
511
282
383
505
235
230
Sour
ce: T
he T
op 1
0 Ev
eryt
hing
2.
Wri
te a
n in
tege
r to
rep
rese
nt e
ach
dep
th.
(Les
son
2-1)
3.
Ord
er th
e in
tege
rs fr
om g
reat
est d
epth
to
leas
t dep
th.
(Les
son
2-2)
ENTE
RTAI
NM
ENT
For
Exe
rcis
es 4
–8, u
se th
e d
iagr
am b
elow
. It s
how
s th
e lo
cati
ons
of
seve
ral r
ides
at t
he
Ou
tloo
k A
mu
sem
ent
Par
k.
(Les
son
2-3)
y
x
Hot T
ower
Wild
Thi
ng
Fear
Lor
d
Terr
or Is
land
Ferr
is W
heel
Zip
Mas
ter
Hurr
ican
e
4.
Whi
ch r
ide(
s) is
loca
ted
in q
uad
rant
III?
5.
Whi
ch r
ide(
s) is
loca
ted
on
the
y-ax
is?
Nam
e th
e co
ord
inat
es.
6.
Whi
ch r
ide(
s) h
as c
oord
inat
es in
whi
ch
the
x-co
ord
inat
es a
nd y
-coo
rdin
ates
are
eq
ual?
7.
In
whi
ch q
uad
rant
is th
e H
urri
cane
lo
cate
d?
8.
A n
ew r
ide
is b
uilt
wit
h a
loca
tion
on
the
x-ax
is a
nd 5
uni
ts le
ft o
f the
ori
gin.
Nam
e th
e co
ord
inat
es o
f thi
s po
int.
9.
CAVE
RNS
Ad
rian
a is
52
feet
und
ergr
ound
to
urin
g th
e L
ewis
and
Cla
rk C
aver
ns.
She
clim
bs a
lad
der
up
15 fe
et. W
hat i
s he
r ne
w lo
cati
on?
(Les
son
2-4)
10.
RECO
RDS
The
low
est t
empe
ratu
re
reco
rded
in V
erkh
oyan
sk, R
ussi
a, w
as
abou
t -90
°F.
The
hig
hest
tem
pera
ture
w
as a
bout
99°
F. W
hat i
s th
e d
iffe
renc
e be
twee
n th
ese
tem
pera
ture
s? (
Less
on 2
-5)
11.
EAR
TH S
CIEN
CE T
he h
ighe
st a
nd lo
wes
t po
ints
in C
alif
orni
a ar
e sh
own
in th
e ta
ble.
Wha
t is
the
dif
fere
nce
in
elev
atio
ns?
(Les
son
2-5)
Loca
tion
Elev
atio
n
Mou
nt W
hitn
ey14
,494
ft a
bove
sea
leve
l
Deat
h Va
lley
282
ft be
low
sea
leve
l
Sour
ce: T
he W
orld
Alm
anac
of t
he U
.S.A
.
12.
RIDE
S A
glid
er r
ide
over
the
Cra
zy
Mou
ntai
ns h
as a
max
imum
alt
itud
e of
12
,000
feet
. It i
s d
esce
ndin
g at
a r
ate
of
abou
t 300
feet
per
min
ute.
At w
hat
alti
tud
e w
ill th
e gl
ider
be
20 m
inut
es
late
r? (
Less
on 2
-6)
13.
SPO
RTS
Ever
y 12
tim
es a
t bat
, Sim
on h
its
the
ball
3 tim
es. A
bout
how
man
y tim
es
will
he
hit t
he b
all a
fter
20
times
at b
at?
40?
84?
Use
the
look
for
a pa
tter
n st
rate
gy.
(Les
son
2-7) Tim
es a
t Bat
Num
ber o
f Hits
123
20 40 84
14.
TEM
PERA
TURE
A te
mpe
ratu
re o
f -89
°C
w
as r
ecor
ded
in A
ntar
ctic
a. U
se th
e ex
pres
sion
9C
_
5 +
32,
whe
re C
is th
e te
mpe
ratu
re in
deg
rees
Cel
sius
, to
find
th
e te
mpe
ratu
re in
deg
rees
Fah
renh
eit.
(Les
son
2-8)
Chap
ter 2
Inte
gers
Pa
ges
78–1
25
Mix
ed P
rob
lem
So
lvin
g
70
5
-8
2, 3
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
Zip
Mas
ter
Quad
rant
II
Wild
Thi
ng, Z
ip M
aste
r
37 ft
und
ergr
ound
or -
37 ft
(-
5, 0)
189°
F
14,7
76 ft
6,00
0 ft
abou
t -12
8.2°
F
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
5 10 21
705_
0704
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M
Mixed Problem Solving
Mix
ed P
robl
em S
olvi
ngM
ixed
Pro
blem
Sol
ving
Chap
ter 1
Intr
oduc
tion
to A
lgeb
ra a
nd F
unct
ions
Pa
ges
22–7
7
1.
HIS
TORY
In
1932
, Am
elia
Ear
hart
flew
2,
026
mile
s in
14
hour
s 56
min
utes
. To
the
near
est m
ile, w
hat w
as h
er s
peed
in m
iles
per
min
ute?
(Le
sson
1-1
)
2.
LIGH
T T
he s
peed
of l
ight
is a
bout
67 3
kilo
met
ers
per
seco
nd. H
ow m
any
kilo
met
ers
per
seco
nd is
this
? (L
esso
n 1-
2)
3.
FARM
ING
Find
the
leng
th o
f one
sid
e of
a
squa
re fi
eld
with
an
area
of 1
80,6
25 s
quar
e fe
et.
(Les
son
1-3)
4.
SALE
S A
dep
artm
ent s
tore
is h
avin
g a
back
-to-
scho
ol s
ale.
The
tabl
e sh
ows
the
pric
es o
f thr
ee p
opul
ar it
ems.
Item
Pric
e ($
)
Jean
s37
.99
Swea
tshi
rt19
.88
Polo
Shi
rt22
.50
Lat
onia
wan
ts to
buy
2 p
airs
of j
eans
, 3
swea
tshi
rts,
and
1 p
olo
shir
t. W
rite
an
d e
valu
ate
a nu
mer
ical
exp
ress
ion
that
rep
rese
nts
the
tota
l cos
t of a
ll th
ree
item
s. (
Less
on 1
-4)
5.
MO
NEY
Mat
eo h
as $
2.58
in c
oins
. If h
e ha
s qu
arte
rs, d
imes
, nic
kels
, and
pen
nies
, ho
w m
any
of e
ach
coin
doe
s he
hav
e?
Use
the
gues
s an
d ch
eck
stra
tegy
. (L
esso
n 1-
5)
6.
FITN
ESS
You
can
esti
mat
e ho
w fa
st y
ou
wal
k in
mile
s pe
r ho
ur b
y ev
alua
ting
the
expr
essi
on n _
30
, whe
re n
is th
e nu
mbe
r of
st
eps
you
take
in o
ne m
inut
e. F
ind
you
r sp
eed
in m
iles
per
hour
if y
ou ta
ke 9
6 st
eps
in o
ne m
inut
e. (
Less
on 1
-6)
7.
BASE
BALL
Las
t yea
r, Sc
ott a
tten
ded
13
Min
neso
ta T
win
s ba
seba
ll ga
mes
. Thi
s ye
ar, h
e at
tend
ed 2
4. S
olve
13
+ n
= 2
4 to
find
how
man
y m
ore
gam
es h
e at
tend
ed th
is y
ear
than
last
. (L
esso
n 1-
7)
8.
HOT
AIR
BALL
OO
NS
Miy
oki p
aid
$14
0 fo
r a
four
-hou
r ho
t air
bal
loon
rid
e ov
er th
e B
rid
ger
Mou
ntai
ns. S
olve
4h
= 1
40 to
find
th
e co
st p
er h
our
of th
e ri
de.
(Les
son
1-7)
ENTE
RTAI
NM
ENT
For
Exe
rcis
es 9
an
d 1
0, u
se
the
foll
owin
g in
form
atio
n.
The
five
mem
bers
of t
he W
olff
fam
ily w
ent t
o an
am
usem
ent p
ark.
The
y ea
ch p
urch
ased
an
all-
day
rid
e pa
ss a
nd a
wat
er p
ark
pass
, as
show
n be
low
. (L
esso
n 1-
8)
Item
Pric
e ($
)
All-D
ay R
ide
Pass
14.9
5
Wat
er P
ark
Pass
6.50
9.
Use
the
Dis
trib
utiv
e Pr
oper
ty to
wri
te
two
dif
fere
nt e
xpre
ssio
ns th
at r
epre
sent
th
e to
tal c
ost f
or th
e fa
mily
.
10.
Fin
d th
e to
tal c
ost o
f the
pas
ses.
11.
NUM
BER
THEO
RY N
umbe
rs th
at c
an b
e re
pres
ente
d b
y a
squa
re a
rran
gem
ent o
f d
ots
are
calle
d s
quar
e nu
mbe
rs. T
he fi
rst
four
squ
are
num
bers
are
sho
wn
belo
w.
(Les
son
1-9)
14
916
Wri
te a
seq
uenc
e fo
rmed
by
the
area
of
the
firs
t eig
ht s
quar
e nu
mbe
rs.
12.
TIM
E C
opy
and
com
plet
e th
e fu
ncti
on
tabl
e sh
owin
g ho
w m
any
day
s y
ther
e ar
e in
var
ious
num
ber
of w
eeks
x. T
hen
iden
tify
the
dom
ain
and
ran
ge.
(Les
son
1-10
)
x7x
y
1 2 3 4
70
4
Mix
ed P
rob
lem
So
lvin
g
2 m
i/min
300,
763
km/s
2 (37
.99)
+
3 (
19.8
8)
+ 1
( 22.
50) ;
$158
.12
7. 1
1 ga
mes
$35
5 (14
.95
+ 6
.50)
; 5 ( 1
4.95) +
5 ( 6
.50)
$107
.25
1, 4
, 9, 1
6, 2
5, 3
6, 4
9, 6
4
7 (1)
7 (
2)
7 (3)
7 (
4)
7 14 21 28
Dom
ain:
{1
, 2, 3
, 4}
Rang
e:
{7, 1
4, 2
1, 2
8}
425
ft
3.2
mi/h
5. S
ampl
e an
swer
: 7 q
uart
ers,
6
dim
es, 3
nic
kels
, 8 p
enni
es
704_
0704
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410
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712
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640_0704_0715_EM_874048 640640_0704_0715_EM_874048 640 11/29/07 6:22:19 PM11/29/07 6:22:19 PM
Mixed Problem
Solving
Mixed Problem Solving 706–707
Mixed Problem Solving
1.
TOUR
ISM
The
Sta
tue
of L
iber
ty in
New
Yo
rk, N
ew Y
ork,
and
the
Eif
fel T
ower
in
Pari
s, F
ranc
e, w
ere
des
igne
d b
y th
e sa
me
pers
on. T
he S
tatu
e of
Lib
erty
is 1
52 fe
et
tall.
It is
732
feet
sho
rter
than
the
Eif
fel
Tow
er, x
. Wri
te a
n eq
uati
on th
at m
odel
s th
is s
itua
tion
. (L
esso
n 3-
1) 1
52 =
x -
732
ELEC
TIO
NS
For
Exe
rcis
es 2
an
d 3
, use
the
tab
le b
elow
an
d th
e fo
llow
ing
info
rmat
ion
.N
ew Y
ork
has
one
mor
e el
ecto
ral v
ote
than
Te
xas.
Pen
nsyl
vani
a ha
s 9
few
er e
lect
oral
vo
tes
than
Tex
as.
(Les
son
3-2)
Num
ber o
f Ele
ctor
al V
otes
200
0
Calif
orni
a54
New
Yor
k33
Texa
s
Flor
ida
25
Penn
sylv
ania
23
2.
Wri
te tw
o d
iffe
rent
equ
atio
ns to
find
the
num
ber
of e
lect
oral
vot
es in
Tex
as, n
.
3.
Fin
d th
e nu
mbe
r of
ele
ctor
al v
otes
4.
ROLL
ER C
OAS
TERS
The
trac
k le
ngth
of a
po
pula
r ro
ller
coas
ter
is 5
,106
feet
. The
ro
ller
coas
ter
has
an a
vera
ge s
peed
of
abou
t 2,0
00 fe
et p
er m
inut
e. A
t tha
t sp
eed
, how
long
will
it ta
ke to
trav
el it
s le
ngth
of 5
,106
feet
? U
se th
e fo
rmul
a d =
rt.
(Les
son
3-3)
abo
ut 2
.553
min
5.
NUM
BERS
A n
umbe
r is
hal
ved
. The
n th
ree
is s
ubtr
acte
d fr
om th
e qu
otie
nt, a
nd 5
is
mul
tipl
ied
by
the
dif
fere
nce.
Fin
ally
, 1 is
ad
ded
to th
e pr
oduc
t. If
the
end
ing
num
ber
is 2
6, w
hat w
as th
e be
ginn
ing
num
ber?
Use
the
wor
k ba
ckw
ard
stra
tegy
. (L
esso
n 3-
4) 1
6
6.
BUSI
NES
S C
arla
’s C
ater
ing
char
ges
a $2
5 fe
e to
ser
ve 1
5 or
few
er p
eopl
e. In
ad
dit
ion
to th
at fe
e, th
ey c
harg
e $1
0 pe
r ap
peti
zer.
You
are
havi
ng a
par
ty fo
r 12
peo
ple
and
can
spe
nd a
tota
l of $
85.
How
man
y ap
peti
zers
can
you
ord
er
from
Car
la’s
Cat
erin
g? (
Less
on 3
-5)
CHES
S Fo
r E
xerc
ises
7–1
0, u
se th
e ch
ess
boa
rd b
elow
. (L
esso
n 3-
6)
12 in
.
12 in
.
7.
Wha
t is
the
peri
met
er o
f the
che
ss b
oard
?
8.
Wha
t is
the
area
of t
he c
hess
boa
rd?
9.
Wha
t is
the
area
of e
ach
smal
l squ
are?
10.
A tr
avel
che
ss b
oard
has
hal
f the
leng
th
and
wid
th o
f the
boa
rd s
how
n. W
hat i
s th
e pe
rim
eter
and
are
a? 2
4 in
.; 36
in 2
11.
FEN
CIN
G M
r. H
erna
ndez
will
bui
ld a
fe
nce
to e
nclo
se a
rec
tang
ular
yar
d fo
r hi
s ho
rse.
If th
e ar
ea o
f the
yar
d to
be
encl
osed
is 1
,944
squ
are
feet
, and
the
leng
th o
f the
yar
d is
54
feet
, how
muc
h fe
ncin
g is
nee
ded
? (L
esso
n 3-
6) 1
80 ft
12.
GEO
MET
RY T
he fo
rmul
a fo
r th
e pe
rim
eter
of
a s
quar
e is
P =
4s,
whe
re P
is th
e pe
rim
eter
and
s is
the
leng
th o
f a s
ide.
G
raph
the
equa
tion
. (L
esso
n 3-
7)
AGES
For
Exe
rcis
es 1
3–16
, use
the
tab
le
bel
ow. I
t sh
ows
how
Jar
ed’s
age
an
d h
is
sist
er E
mil
y’s
age
are
rela
ted
. (L
esso
n 3-
7)
Jare
d’s
age
(yr)
12
34
5
Emily
’s ag
e (y
r)7
89
1011
13.
Wri
te a
ver
bal e
xpre
ssio
n to
des
crib
e ho
w th
e ag
es a
re r
elat
ed.
14.
Wri
te a
n eq
uati
on fo
r th
e ve
rbal
ex
pres
sion
. Let
x r
epre
sent
Jare
d’s
ag
e an
d y
repr
esen
t Em
ily’s
age
. y
= x
+ 6
15.
Pre
dic
t how
old
Em
ily w
ill b
e w
hen
Jare
d is
10
year
s ol
d.
16.
Gra
ph th
e eq
uati
on.
Chap
ter 3
Alg
ebra
: Lin
ear E
quat
ions
and
Fun
ctio
ns
Page
s 12
6–17
5
6 ap
petiz
ers
70
6
Mix
ed P
rob
lem
So
lvin
g
33 =
n +
1; 2
3 =
n -
9
32 v
otes
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
Emily
is 6
yea
rs o
lder
than
Jar
ed.
16 y
ears
16. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.48
in.
144
in 2
2.25
in 2
706_
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610
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712
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M
Mixed Problem Solving
LAN
D Fo
r E
xerc
ises
1–3
, use
the
info
rmat
ion
b
elow
.A
sec
tion
of l
and
is o
ne m
ile lo
ng a
nd o
ne
mile
wid
e. (
Less
on 4
-1)
1.
Wri
te th
e pr
ime
fact
oriz
atio
n of
5,2
80.
2.
Fin
d th
e ar
ea o
f the
sec
tion
of l
and
in
squa
re fe
et. (
Hin
t: 1
mile
= 5
,280
feet
)
3.
Wri
te th
e pr
ime
fact
oriz
atio
n of
the
area
th
at y
ou fo
und
in E
xerc
ise
2.
DECO
RATI
ON
S Fo
r E
xerc
ises
4 a
nd
5, u
se th
e in
form
atio
n b
elow
. B
enit
o is
cut
ting
str
eam
ers
from
cre
pe p
aper
fo
r a
part
y. H
e ha
s a
red
rol
l of c
repe
pap
er
144
inch
es lo
ng, a
whi
te r
oll 1
92 in
ches
long
, an
d a
blu
e ro
ll 36
0 in
ches
long
. (L
esso
n 4-
2)
4.
If h
e w
ants
to h
ave
all c
olor
s of
str
eam
ers
the
sam
e le
ngth
, wha
t is
the
long
est
leng
th th
at h
e ca
n cu
t? 2
4 in
.
5. I
f he
cuts
the
long
est p
ossi
ble
leng
th, h
ow
man
y st
ream
ers
can
he c
ut?
6.
PRIZ
ES B
y re
achi
ng in
to a
bag
that
has
the
lett
ers
A, B
, and
C, G
eorg
e w
ill s
elec
t th
ree
win
ners
in o
rder
. How
man
y po
ssib
le c
ombi
nati
ons
are
ther
e of
the
peop
le w
ho c
ould
win
? U
se th
e m
ake
an
orga
nize
d lis
t str
ateg
y. (
Less
on 4
-3)
OLY
MPI
CS F
or E
xerc
ises
7 a
nd
8, r
efer
to th
e ta
ble
bel
ow. I
t sh
ows
the
med
als
won
by
the
top
thre
e co
un
trie
s in
the
2000
Su
mm
er
Oly
mp
ics.
Sour
ce: T
he W
orld
Alm
anac
Coun
try
Med
als
Gold
Silv
erBr
onze
Unite
d St
ates
4024
33
Russ
ia32
2828
Chin
a28
1615
7.
Wri
te th
e nu
mbe
r of
gol
d m
edal
s th
at
Rus
sia
won
as
a fr
acti
on o
f the
tota
l nu
mbe
r th
at R
ussi
a w
on in
sim
ples
t fo
rm.
(Les
son
4-4)
8.
Wri
te th
e fr
acti
on th
at y
ou w
rote
in
Exe
rcis
e 7
as a
dec
imal
. (L
esso
n 4-
5) 0
. −−
36
9.
SPO
RTS
At B
elgr
ade
Inte
rmed
iate
Sch
ool,
75 o
ut o
f eve
ry 1
00 s
tud
ents
par
tici
pate
in
spor
ts. W
hat p
erce
nt o
f stu
den
ts d
o no
t pa
rtic
ipat
e in
spo
rts?
(Le
sson
4-6
) 25
%
ADVE
RTIS
ING
For
Exe
rcis
es 1
0–13
, use
the
tab
le b
elow
. It s
how
s th
e re
sult
s of
a s
urv
ey
in w
hic
h te
ens
wer
e as
ked
wh
ich
typ
es o
f ad
vert
isin
g th
ey p
ay a
tten
tion
to.
Type
of A
dver
tisin
gPe
rcen
t of T
eens
Tele
visio
n80
%
Mag
azin
e62
%
Prod
uct i
n a
Mov
ie48
%
Ad in
an
E-M
ail
24%
Sour
ce: E
-Pol
l
Wri
te e
ach
per
cen
t as
a fr
acti
on in
sim
ple
st
form
. (L
esso
n 4-
6)
10.
tel
evis
ion
11.
mag
azin
e
12.
pro
duc
t in
a m
ovie
13
. ad
in a
n e-
mai
l
GEO
MET
RY F
or E
xerc
ises
14
–16,
ref
er to
the
grid
at
the
righ
t. (L
esso
n 4-
7)
14.
Wri
te a
dec
imal
and
a p
erce
nt to
re
pres
ent t
he “
T”
shad
ed a
rea.
0.4
; 40%
15.
Wri
te a
dec
imal
and
a p
erce
nt to
re
pres
ent t
he a
rea
shad
ed p
ink.
0.0
5; 5
%
16.
Wha
t per
cent
of t
he g
rid
is n
ot s
had
ed?
17.
FLO
WER
S R
oses
can
be
ord
ered
in
bunc
hes
of 6
and
car
nati
ons
in b
unch
es o
f 15
. If I
ngri
d w
ants
to h
ave
the
sam
e nu
mbe
r of
ros
es a
s ca
rnat
ions
for
pare
nt
nigh
t, w
hat i
s th
e le
ast n
umbe
r of
eac
h fl
ower
that
she
mus
t ord
er?
(Les
son
4-8)
30
18.
WAT
ER T
he ta
ble
W
hat P
art i
s W
ater
?
Stat
eFr
actio
n
Alas
ka 3 _ 41
Mich
igan
40 _ 97
Wisc
onsin
1 _ 6
Sour
ce: T
he W
orld
A
lman
ac o
f the
U.S
.A
at th
e ri
ght s
how
s th
e fr
acti
on o
f eac
h st
ate
that
is w
ater
. O
rder
the
stat
es
from
leas
t to
grea
test
fr
acti
on o
f wat
er.
(Les
son
4-9)
Chap
ter 4
Fra
ctio
ns, D
ecim
als,
and
Perc
ents
Pa
ges
178–
227
Mix
ed P
rob
lem
So
lvin
g
70
7
1. 2
5 ×
3 ×
5 ×
11
2. 2
7,87
8,40
0 ft2
2 10 ×
3 2 ×
5 2 ×
1 1 2
29 s
trea
mer
s
6 co
mbi
natio
ns; A
BC; A
CB; B
AC; B
CA; C
AB; C
BA
4 _ 11
4 _ 5
12 _ 25
13.
6 _ 25
31 _ 50
55%
18. A
lask
a, W
isco
nsin
, Mic
higa
n
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710
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712
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M
641_0704_0715_EM_874048 641641_0704_0715_EM_874048 641 11/29/07 6:22:26 PM11/29/07 6:22:26 PM
Mix
ed P
robl
em S
olvi
ng
708–709 Mixed Problem Solving
Mixed Problem Solving
Chap
ter 5
App
lyin
g Fr
actio
ns
Page
s 22
8–27
7
1.
MEA
LS A
box
of i
nsta
nt p
otat
oes
cont
ains
20
cup
s of
flak
es. A
fam
ily-s
ized
bow
l of
pot
atoe
s us
es 3
2 _ 3 cup
s of
the
flak
es.
Est
imat
e ho
w m
any
fam
ily-s
ized
bow
ls
can
be m
ade
from
one
box
. (L
esso
n 5-
1)
2.
BAKI
NG
A r
ecip
e ca
lls fo
r 2 1 _ 3 c
ups
of fl
our.
The
o w
ants
to m
ake
six
batc
hes
of th
is
reci
pe. A
bout
how
muc
h fl
our
shou
ld h
e ha
ve a
vaila
ble
to u
se?
(Les
son
5-1)
3.
CRAF
TS K
yle
boug
ht 5 _ 6 y
ard
of f
abri
c to
m
ake
a cr
aft i
tem
. He
used
3 _ 4 yar
d in
m
akin
g th
e it
em. H
ow m
uch
fabr
ic w
as
left
ove
r? (
Less
on 5
-2)
RAIN
FALL
For
Exe
rcis
es 4
an
d 5
, use
the
tab
le.
It s
how
s th
e av
erag
e an
nu
al p
reci
pit
atio
n f
or
thre
e of
the
dri
est l
ocat
ion
s on
Ear
th.
(Les
son
5-2)
Loca
tion
Prec
ipita
tion
(in.)
Arica
, Chi
le3 _ 10
0
Iqui
que,
Chi
le1 _ 5
Calla
o, P
eru
12 _ 25So
urce
: The
Top
10
Ever
ythi
ng
4.
How
muc
h m
ore
rain
doe
s Iq
uiqu
e ge
t pe
r ye
ar th
an A
rica
?
5.
How
muc
h m
ore
annu
al r
ain
doe
s C
alla
o ge
t tha
n Iq
uiqu
e?
6.
INTE
RIO
R DE
SIGN
A li
ving
roo
m w
all i
s 16
1 _ 4 fee
t lon
g. A
win
dow
run
s fr
om th
e fl
oor
to th
e ce
iling
and
has
a le
ngth
alo
ng
the
floo
r of
6 3 _ 8 f
eet.
How
long
is th
e w
all
wit
hout
the
win
dow
? (L
esso
n 5-
3)
7.
HEAL
TH T
he h
uman
bod
y is
abo
ut 7 _
10
w
ater
. Abo
ut h
ow m
uch
wou
ld a
pe
rson
wei
gh if
they
had
70
poun
ds
of w
ater
wei
ght?
Use
the
elim
inat
e po
ssib
iliti
es s
trat
egy.
(Le
sson
5-4
) B
A 2
00 p
ound
s C
15
0 po
und
s
B
100
poun
ds
D
70 p
ound
s
8.
FOO
D Th
e ta
ble
belo
w s
how
s th
e ca
rry-
out
men
u fo
r a
Ben
ito’
s R
esta
uran
t.
Take
-out
Pric
e ($
)
Mai
n Di
sh5.
00
Side
Dish
es1.
00
Dess
ert
2.00
A fa
mily
of f
our
spen
t $24
.00
dol
lars
for
a ta
ke-h
ome
mea
l. W
hat c
ombi
nati
on is
po
ssib
le fo
r th
eir
mea
l? U
se th
e el
imin
ate
poss
ibili
ties
str
ateg
y. (
Less
on 5
-4)
H
F 3
mai
n d
ishe
s an
d 2
sid
e d
ishe
s
G
4 m
ain
dis
hes
and
3 s
ide
dis
hes
H
3 m
ain
dis
hes,
3 s
ide
dis
hes,
and
3
des
sert
s
J
4
mai
n d
ishe
s an
d 4
des
sert
s
9.
STAR
S T
he s
tar
Siri
us is
abo
ut 8
7 _
10
lig
ht
year
s fr
om E
arth
. Alp
ha C
enta
uri i
s ha
lf
this
dis
tanc
e fr
om E
arth
. How
far
is
Alp
ha C
enta
uri f
rom
Ear
th?
(Les
son
5-5)
10.
LI
FE S
CIEN
CE U
se th
e ta
ble
belo
w. I
t sho
ws
the
aver
age
grow
th p
er m
onth
of h
air
and
fing
erna
ils. S
olve
3 =
1 _ 2 t to
find
how
long
it ta
kes
hair
to g
row
3 in
ches
. (L
esso
n 5-
6) 6
mo
Aver
age
Mon
thly
Gro
wth
Hair
1 _ 2 in.
Fing
erna
ils2 _ 25
in.
11.
SEW
ING
Joce
lyn
has
nine
yar
ds
of fa
bric
to
mak
e ta
ble
napk
ins
for
a se
nior
citi
zens
’ cen
ter.
She
need
s 3 _ 8 y
ard
for
each
na
pkin
. Use
3 _ 8 c =
9 to
find
the
num
ber
of
napk
ins
that
she
can
mak
e w
ith
this
am
ount
of f
abri
c. (
Less
on 5
-6)
24 n
apki
ns
12.
WHA
LES
Dur
ing
the
firs
t yea
r, a
baby
w
hale
gai
ns a
bout
27 3 _ 5 t
ons.
Wha
t is
the
aver
age
wei
ght g
ain
per
mon
th?
(Les
son
5-7)
70
8
Mix
ed P
rob
lem
So
lvin
g
Sam
ple
answ
er: 2
0 ÷
4 o
r 5 b
owls
abou
t 2 ×
6 +
1 _ 3 × 6
or 1
2 +
2 o
r 14
c
17
_
100 in
.
7 _ 25 in
.
9 7 _ 8 ft
4 7 _ 20
ligh
t yea
rs
12.
2 3 _ 10
T/m
o
1 _
12
yd
708_
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810
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712
:53:
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M
Mixed Problem Solving
1.
SCHO
OLS
In
a re
cent
yea
r, O
rego
n ha
d 9
24
publ
ic e
lem
enta
ry s
choo
ls a
nd 2
64 p
ublic
hi
gh s
choo
ls. W
rite
a r
atio
in s
impl
est f
orm
co
mpa
ring
the
num
ber
of p
ublic
hig
h sc
hool
s to
ele
men
tary
sch
ools
. (L
esso
n 6-
1) 2 _ 7
2.
MO
NTH
S W
rite
a r
atio
in s
impl
est f
orm
co
mpa
ring
the
num
ber
of m
onth
s th
at
begi
n w
ith
the
lett
er J
to th
e to
tal n
umbe
r of
mon
ths
in a
yea
r. (L
esso
n 6-
1) 1 _ 4
3.
EXER
CISE
A p
erso
n ju
mps
rop
e 14
tim
es in
10
sec
ond
s. W
hat i
s th
e un
it r
ate
in ju
mps
pe
r se
cond
? (L
esso
n 6-
2) 1
.4 ju
mps
per
s
4.
FOO
D A
16-
ounc
e bo
x of
cer
eal c
osts
$3
.95.
Fin
d th
e un
it p
rice
to th
e ne
ares
t ce
nt.
(Les
son
6-2)
$0.
25 p
er o
z
5.
MAR
KERS
The
tabl
e be
low
sho
ws
the
num
ber
of m
arke
rs p
er b
ox. G
raph
the
dat
a. T
hen
find
the
slop
e of
the
line.
E
xpla
in w
hat t
he s
lope
rep
rese
nts.
(Les
son
6-3)
Mar
kers
816
2432
Boxe
s1
23
4
6.
TEM
PERA
TURE
At 2
:00,
the
tem
pera
ture
is
78°F
. At 3
:00,
the
tem
pera
ture
is 8
1°F.
W
hat i
s th
e ra
te o
f cha
nge?
(Le
sson
6-3
)
7.
LIFE
SCI
ENCE
An
adul
t has
abo
ut 5
qua
rts
of b
lood
. If a
per
son
don
ates
1 p
int o
f bl
ood
, how
man
y pi
nts
are
left
? (L
esso
n 6-
4)
8.
COFF
EE I
n Sw
itze
rlan
d, t
he a
vera
ge
amou
nt o
f cof
fee
cons
umed
per
yea
r is
1,
089
cups
per
per
son.
How
man
y pi
nts
is th
is?
(Les
son
6-4)
544
.5 p
t
9.
BUIL
DIN
GS A
sky
scra
per
is 0
.484
ki
lom
eter
s ta
ll. W
hat i
s th
e he
ight
of t
he
skys
crap
er in
met
ers?
(Le
sson
6-5
) 48
4 m
10.
WAT
ER A
bot
tle
cont
ains
1,0
65 m
illili
ters
of
wat
er. A
bout
how
man
y cu
ps o
f wat
er
doe
s th
e bo
ttle
hol
d?
(Les
son
6-5)
abo
ut 4
.5 c
11.
PHO
TOGR
APHS
Man
dy
is e
nlar
ging
a
phot
ogra
ph th
at is
3 in
ches
wid
e an
d
4.5
inch
es lo
ng. I
f she
wan
ts th
e w
idth
of
the
enla
rgem
ent t
o be
10
inch
es, w
hat
will
be
the
leng
th?
(Les
son
6-6)
15
in.
12.
TIL
ES A
kit
chen
is 1
0 fe
et lo
ng a
nd 8
feet
w
ide.
If k
itch
en fl
oor
tile
s ar
e 2 1 _ 2 i
nche
s by
3 in
ches
, how
man
y ti
les
are
need
ed
for
the
kitc
hen?
Use
the
draw
a d
iagr
am
stra
tegy
. (L
esso
n 6-
7) 1
,536
13.
MAP
S W
ashi
ngto
n, D
.C.,
and
Bal
tim
ore,
M
aryl
and
, are
2 7 _ 8 i
nche
s ap
art o
n a
map
. If
the
scal
e is
1 _ 2 inc
h : 6
mile
s, w
hat i
s th
e ac
tual
dis
tanc
e be
twee
n th
e ci
ties
? (L
esso
n 6-
8) 3
4 1 _ 2 mi
14.
MO
DELS
Ian
is m
akin
g a
min
iatu
re b
ed
for
his
dau
ghte
r’s
dol
l hou
se. T
he a
ctua
l be
d is
6 3 _ 4 f
eet l
ong.
If h
e us
es th
e sc
ale
1 _ 2 inc
h =
1 1 _ 2 f
eet,
wha
t will
be
the
leng
th
of th
e m
inia
ture
bed
? (L
esso
n 6-
8) 2
1 _ 4 in.
15.
PO
PULA
TIO
N A
ccor
din
g to
the
U.S
. C
ensu
s B
urea
u, 6
.6%
of a
ll pe
ople
livi
ng
in F
lori
da
are
10–1
4 ye
ars
old
. Wha
t fr
acti
on is
this
? W
rite
in s
impl
est f
orm
. (L
esso
n 6-
9)
33
_
500
COIN
S Fo
r E
xerc
ises
16
and
17,
use
the
tab
le
bel
ow. I
t sh
ows
the
frac
tion
of
a q
uar
ter
that
is
mad
e u
p o
f th
e m
etal
s n
ick
el a
nd
cop
per
. W
rite
eac
h f
ract
ion
as
a p
erce
nt.
Rou
nd
to
the
nea
rest
hu
nd
red
th if
nec
essa
ry.
(Les
son
6-9)
Met
alFr
actio
n of
Qua
rter
Nick
el1 _ 12
Copp
er11 _ 12
16.
nic
kel
17.
copp
er
Chap
ter 6
Rat
ios
and
Prop
ortio
ns
Page
s 28
0–33
9
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
Mix
ed P
rob
lem
So
lvin
g
70
9
9 pt
8.33
%91
.67%
3° p
er h
709_
0704
_071
5_E
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7404
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910
/2/0
712
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642_0704_0715_EM_874048 642642_0704_0715_EM_874048 642 11/29/07 6:22:32 PM11/29/07 6:22:32 PM
Mixed Problem
Solving
Mixed Problem Solving 710–711
Mixed Problem Solving
NUT
RITI
ON
For
Exe
rcis
es 1
–3, u
se th
e d
ata
bel
ow, t
hat
giv
es th
e gr
ams
of c
arb
ohyd
rate
s in
fif
teen
dif
fere
nt e
ner
gy b
ars.
24
, 16,
16,
16,
2, 2
0, 2
6, 1
4, 2
0, 2
0, 1
6, 1
6, 1
6, 1
5, 2
0
1.
Mak
e a
line
plot
of t
he d
ata.
(Le
sson
8-1
)
2.
Wha
t is
the
rang
e of
the
dat
a? (
Less
on 8
-1)
3.
Ide
ntify
any
clu
ster
s, g
aps,
or
outli
ers
and
ex
plai
n w
hat t
hey
repr
esen
t. (L
esso
n 8-
1)
BASK
ETBA
LL F
or E
xerc
ises
4–5
, ref
er to
the
tab
le b
elow
. It s
how
s th
e n
um
ber
of
gam
es
pla
yed
by
Mic
hae
l Jor
dan
eac
h y
ear
from
19
86–1
987
to 2
001–
2002
.
Num
ber o
f Gam
es P
laye
d
8282
8182
8280
780
1782
8282
00
060
4.
Fin
d th
e m
ean,
med
ian,
and
mod
e of
th
e d
ata.
(Le
sson
8-2
) 55
.625
; 80.
5; 8
2
5.
Mak
e a
stem
-and
-lea
f plo
t of t
he d
ata.
(L
esso
n 8-
3)
6.
TOUR
ISTS
The
tabl
e sh
ows
the
coun
trie
s fr
om w
hich
the
mos
t tou
rist
s in
the
Uni
ted
Sta
tes
cam
e. M
ake
a ba
r gr
aph
of th
e d
ata.
(Le
sson
8-4
)
Coun
try
Visi
tors
(mill
ions
)
Cana
da14
.6
Mex
ico10
.3
Japa
n5.
0
Unite
d Ki
ngdo
m4.
7
7.
LUN
CHES
Use
the
bar
grap
h to
det
erm
ine
on w
hat d
ay a
bout
twic
e as
man
y lu
nche
s w
ere
sold
as
on W
edne
sday
. (L
esso
n 8-
5)
050
100
150
200
250
300
Num
ber
of L
unch
es S
old
at A
BC Ju
nior
Hig
h
Days of the Week
Num
ber o
f Lun
ches
Sol
d
Mon
day
Tues
day
Wed
nesd
ay
Thur
sday
Frid
ay
SWIM
MIN
G Fo
r E
xerc
ises
8 a
nd
9, r
efer
to th
e ta
ble
. It s
how
s th
e w
inn
ing
Oly
mp
ic ti
mes
fo
r th
e W
omen
’s 4
× 1
00-m
eter
Fre
esty
le
Rel
ay in
sw
imm
ing.
(Le
sson
8-6
)
Year
Tim
e (s
)
1976
225
1980
223
1984
224
1988
221
1992
220
1996
219
2000
217
Sour
ce: E
SPN
Spo
rts
Alm
anac
8.
Mak
e a
line
grap
h of
the
dat
a.
9.
Pre
dic
t the
win
ning
tim
e in
200
8.
10.
SURV
EYS
A s
urve
y of
ran
dom
ly s
elec
ted
te
ens
reve
aled
that
68%
hav
e a
pers
onal
ce
ll ph
one.
If th
ere
are
1,20
0 te
ens
at
Har
risb
urg
Mid
dle
Sch
ool,
abou
t how
m
any
have
a p
erso
nal c
ell p
hone
? (L
esso
n 8-
7) a
bout
816
teen
s
11.
CATS
To
det
erm
ine
wha
t typ
e of
cat
mos
t cu
stom
ers
pref
er, t
he p
resi
den
t of a
cat
fo
od c
ompa
ny m
aile
d 2
50 s
urve
ys to
cat
ow
ners
. Of t
he 1
85 s
urve
ys th
at w
ere
retu
rned
, 52%
pre
ferr
ed c
alic
o ca
ts. T
he
pres
iden
t con
clud
ed th
at a
bout
hal
f of c
at
owne
rs p
refe
r ca
lico
cats
. Det
erm
ine
whe
ther
this
con
clus
ion
is v
alid
. Jus
tify
yo
ur a
nsw
ers.
(Le
sson
8-8
)
12.
CELL
PHO
NES
The
tabl
e sh
ows
the
num
ber
of m
onth
ly m
inut
es M
allo
ry u
sed
on
her
cell
phon
e d
urin
g th
e pa
st y
ear.
She
clai
ms
that
the
aver
age
num
ber
of
min
utes
use
d is
abo
ut 3
24. E
xpla
in h
ow
this
is m
isle
adin
g. (
Less
on 8
-9)
284
322
286
359
318
294
602
278
292
267
299
285
Chap
ter 8
Sta
tistic
s: A
naly
zing
Dat
a Pa
ges
394–
457
Mix
ed P
rob
lem
So
lvin
g
71
1
24
Frid
ay
Sam
ple
answ
er: 2
15 s
1, 3
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
5–6.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
11, 1
2. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
711_
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712
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M
Mixed Problem Solving
Chap
ter 7
App
lyin
g Pe
rcen
ts
Page
s 34
0–39
1
1.
SEED
S A
pac
ket o
f bea
ns g
uara
ntee
s th
at
95%
of i
ts 2
00 s
eed
s w
ill g
erm
inat
e. H
ow
man
y se
eds
are
expe
cted
to g
erm
inat
e?
(Les
son
7-1)
190
see
ds
2.
SKIS
Tos
hiro
spe
nt $
520
on n
ew tw
in-t
ip
skis
. Thi
s w
as 4
0% o
f the
mon
ey h
e ea
rned
at h
is s
umm
er jo
b. H
ow m
uch
did
he
ear
n at
his
sum
mer
job?
(Le
sson
7-2
)
3.
GEO
GRAP
HY I
n W
ashi
ngto
n, a
bout
5.7
%
of th
e to
tal a
rea
is w
ater
. If t
he to
tal a
rea
of W
ashi
ngto
n is
70,
637
squa
re m
iles,
es
tim
ate
the
num
ber
of s
quar
e m
iles
of
wat
er b
y us
ing
10%
. (L
esso
n 7-
3)
4.
GOVE
RNM
ENT
Of t
he 4
35 m
embe
rs in
the
U.S
. Hou
se o
f Rep
rese
ntat
ives
, 53
are
from
Cal
ifor
nia
and
13
are
from
Nor
th
Car
olin
a. T
o th
e ne
ares
t who
le p
erce
nt,
wha
t per
cent
of t
he r
epre
sent
ativ
es a
re
from
Cal
ifor
nia?
from
Nor
th C
arol
ina?
(L
esso
n 7-
4) 1
2%; 3
%
FOO
D Fo
r E
xerc
ises
5 a
nd
6, u
se th
e gr
aph
b
elow
. It s
how
s th
e re
sult
s of
a s
urv
ey in
w
hic
h 1
,200
peo
ple
wer
e as
ked
how
they
d
eter
min
e h
ow lo
ng
food
has
bee
n in
th
eir
free
zer.
(Les
son
7-4)
Sour
ce: O
pini
on R
esea
rch
Cor
pora
tion
5.
How
man
y of
the
1,20
0 su
rvey
ed g
uess
to
det
erm
ine
how
long
food
has
bee
n in
th
eir
free
zer?
528
peo
ple
6.
How
man
y of
the
1,20
0 su
rvey
ed la
bel
thei
r fr
eeze
r co
ntai
ners
? 42
0 pe
ople
7.
DVDs
A s
tore
has
1,5
04 D
VD
s in
sto
ck.
The
sto
re s
old
19.
8% o
f the
DV
Ds
last
m
onth
. Abo
ut h
ow m
any
DV
Ds
did
they
se
ll la
st m
onth
? U
se th
e re
ason
able
ans
wer
s st
rate
gy.
(Les
son
7-5)
300
SPO
RTS
For
Exe
rcis
es 8
an
d 9
, use
the
tab
le
bel
ow. I
t sh
ows
the
nu
mb
er o
f p
arti
cip
ants
ag
es 7
to 1
7 in
the
spor
ts li
sted
. (L
esso
n 7-
6)
Spor
tN
umbe
r (m
illio
ns)
1990
2000
In-L
ine
Skat
ing
3.6
21.8
Snow
boar
ding
1.5
4.3
Rolle
r Hoc
key
1.5
2.2
Golf
23.0
26.4
Sour
ce: N
atio
nal S
port
ing
Goo
ds A
ssoc
iatio
n
8.
Wha
t is
the
perc
ent o
f cha
nge
in in
-lin
e sk
ater
s 7
to 1
7 ye
ars
old
from
199
0 to
20
00?
Rou
nd to
the
near
est p
erce
nt a
nd
stat
e w
heth
er th
e pe
rcen
t of c
hang
e is
an
incr
ease
or
decr
ease
. 50
6% in
crea
se
9.
Fin
d th
e pe
rcen
t of c
hang
e fr
om 1
990
to
2000
in th
e nu
mbe
r of
chi
ldre
n an
d te
ens
who
pla
yed
rol
ler
hock
ey. R
ound
to th
e ne
ares
t per
cent
. 47
% in
crea
se
COM
PUTE
RS F
or E
xerc
ises
10
and
11,
use
the
foll
owin
g in
form
atio
n.
The
War
es w
ant t
o bu
y a
new
com
pute
r w
ith
a re
gula
r pr
ice
of $
1,04
9. (
Less
on 7
-7)
10.
If t
he s
tore
is o
ffer
ing
a 20
% d
isco
unt,
wha
t w
ill b
e th
e sa
le p
rice
of t
he c
ompu
ter?
11.
If t
he s
ales
tax
on th
e co
mpu
ter i
s 5.
25%
, w
hat w
ill b
e th
e to
tal c
ost w
ith th
e di
scou
nt?
BAN
KIN
G Fo
r E
xerc
ises
12–
15, c
omp
lete
the
tab
le b
elow
. Th
e in
tere
st e
arn
ed is
sim
ple
in
tere
st.
(Les
son
7-8)
12.
Prin
cipa
lRa
teTi
me
(yr)
Inte
rest
Earn
ed
$1,5
25.0
05%
21 _ 2
$2,2
50.0
04%
$337
.50
3.5%
4$4
98.4
0
$5,0
80.0
03
$952
.50
13.
14.
15.
71
0
Mix
ed P
rob
lem
So
lvin
g
$1,3
00
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
10. $
839.
20
$883
.26
$190
.63
3.75
$3,5
60
6.25
%
710_
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712
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643_0704_0715_EM_874048 643643_0704_0715_EM_874048 643 11/29/07 6:22:37 PM11/29/07 6:22:37 PM
Mix
ed P
robl
em S
olvi
ng
712–713 Mixed Problem Solving
Mixed Problem Solving
ART
For
Exe
rcis
es 1
an
d 2
, use
the
dia
gram
of
the
Nat
ive
Am
eric
an
arti
fact
.
1.
Nam
e a
righ
t ang
le
and
a s
trai
ght a
ngle
.(L
esso
n 10
-1)
2.
If m
∠A
OB
= 9
0°,
wha
t is
m∠
DO
C?
(Les
son
10-2
) 90
°
TELE
VISI
ON
For
Exe
rcis
es 3
an
d 4
, use
the
surv
ey r
esu
lts
show
n in
the
tab
le b
elow
. (L
esso
n 10
-3)
Chan
nels
Fam
ilies
Wat
ch
Num
ber
Perc
ent
5 or
few
er30
%
6–12
33%
13–2
519
%
26 o
r mor
e14
%
3.
The
fift
h ca
tego
ry in
the
surv
ey is
no
TV
or
no
opin
ion.
Wha
t per
cent
of t
he p
eopl
e su
rvey
ed w
ere
in th
is c
ateg
ory?
4%
4.
Mak
e a
circ
le g
raph
of t
he d
ata.
5.
ART
Vic
tor
dre
w a
rig
ht tr
iang
le s
o th
at
one
of th
e ac
ute
angl
es m
easu
res
55°.
Wit
hout
mea
suri
ng, d
escr
ibe
how
Vic
tor
can
det
erm
ine
the
mea
sure
of t
he o
ther
ac
ute
angl
e in
the
tria
ngle
. The
n fi
nd th
e an
gle
mea
sure
. (L
esso
n 10
-4)
6.
GARD
ENIN
GM
r. Sa
nche
z ha
s a
flow
er b
ed
with
a le
ngth
of 1
0 m
eter
s an
d a
wid
th o
f 5
met
ers.
If h
e ca
n on
ly c
hang
e th
e w
idth
of
the
flow
er b
ed, d
escr
ibe
wha
t he
can
do
to in
crea
se th
e pe
rim
eter
by
12 m
eter
s. U
se
the
logi
cal r
easo
ning
str
ateg
y. (
Less
on 1
0-5)
7.
RUN
NIN
GFo
ur fr
iend
s ar
e en
tere
d in
a
race
. Dei
rdre
fini
shes
dir
ectly
ahe
ad o
f C
arlo
s. M
itche
ll fin
ishe
s th
ree
plac
es a
head
of
Tra
mai
ne a
nd d
irec
tly a
head
of D
eird
re.
If T
ram
aine
fini
shes
four
th, p
lace
the
runn
ers
in o
rder
from
firs
t to
last
. Use
lo
gica
l rea
soni
ng.
(Les
son
10-5
)
For
Exe
rcis
es 8
an
d 9
, use
the
figu
re b
elow
.
50˚
50˚
100˚
50˚
50˚
40˚
40˚
10
1
45
6
23
78
9
8.
Fin
d th
e m
easu
re o
f eac
h an
gle
num
bere
d
from
1–1
0. (
Less
on 1
0-4)
9.
Fin
d th
e be
st n
ame
to c
lass
ify
quad
rila
tera
l AB
CD
. Exp
lain
you
r re
ason
ing.
(Le
sson
10-
6)
10.
CRAF
TS P
risc
illa
mak
es p
orce
lain
dol
ls
that
are
pro
port
iona
l to
a re
al c
hild
. If
Jod
y is
4 2 _ 3 f
eet t
all w
ith
a 23
-inc
h w
aist
, w
hat s
houl
d b
e th
e w
aist
mea
sure
of a
d
oll t
hat i
s 13
inch
es ta
ll? R
ound
to th
e ne
ares
t inc
h. (
Less
on 1
0-7)
5 in
.
11.
ART
Dra
w a
tess
ella
tion
re
gula
r tria
ngle
s
quad
rilat
eral
s
pent
agon
s
hexa
gons
octa
gons
usin
g tw
o of
the
poly
gons
lis
ted
at t
he r
ight
. Id
enti
fy
the
poly
gons
and
exp
lain
w
hy th
e te
ssel
lati
on
wor
ks.
(Les
son
10-8
)
For
Exe
rcis
es 1
2 an
d 1
3, u
se th
e q
uad
rila
tera
l M
OV
E s
how
n b
elow
.
y
x
12.
Des
crib
e th
e tr
ansl
atio
n th
at w
ill m
ove
M to
the
poin
t at (
2, -
2) . T
hen
grap
h qu
adri
late
ral M
'O'V'E' u
sing
this
tr
ansl
atio
n. (
Less
on 1
0-9)
13.
Fin
d th
e co
ord
inat
es o
f the
ver
tice
s of
qu
adri
late
ral M
OV
E a
fter
a r
efle
ctio
n ov
er th
e y-
axis
. The
n gr
aph
the
refl
ecti
on.
(Les
son
10-1
0)
Chap
ter 1
0 Ge
omet
ry: P
olyg
ons
Page
s 50
8–56
9
Mix
ed P
rob
lem
So
lvin
g
71
3
1. S
ampl
e an
swer
: ∠AO
B ; ∠
AOC
4, 5
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
6. M
r. Sa
nche
z ca
n in
crea
se th
e w
idth
to 1
1 m
.
7. M
itche
ll, D
eidr
e, C
arlo
s, T
ram
aine
8, 9
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
11–1
3. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
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M
Mixed Problem Solving
Chap
ter 9
Pro
babi
lity
Page
s 45
8–50
5
1.
DEN
TIST
S A
den
tal h
ygie
nist
ran
dom
ly
choo
ses
a to
othb
rush
in a
dra
wer
co
ntai
ning
17
whi
te, 1
2 gr
een,
and
5 b
lue
toot
hbru
shes
. Wha
t is
the
prob
abili
ty th
at
she
choo
ses
a gr
een
toot
hbru
sh?
Wri
te a
s a
frac
tion
in s
impl
est f
orm
. (L
esso
n 9-
1)
SURV
EYS
For
Exe
rcis
es 2
an
d 3
, use
the
tab
le
bel
ow. I
t sh
ows
the
resu
lts
of a
su
rvey
in
wh
ich
ad
ult
s w
ere
ask
ed h
ow p
rou
d th
ey
wer
e to
be
an A
mer
ican
. (L
esso
n 9-
1)
How
Pro
ud A
re Y
ou?
Resp
onse
Num
ber
Extre
mel
y65
0
Very
250
Mod
erat
ely
60
Littl
e/N
ot a
t All
30
No
Opi
nion
10
Sour
ce: G
allu
p Po
ll
2.
If o
ne p
erso
n pa
rtic
ipat
ing
in th
e su
rvey
is
chos
en a
t ran
dom
, wha
t is
the
prob
abili
ty
that
the
pers
on is
ext
rem
ely
patr
iotic
? W
rite
as
a fr
actio
n in
sim
ples
t for
m.
3.
If o
ne p
erso
n pa
rtic
ipat
ing
in th
e su
rvey
is
cho
sen
at r
and
om, w
hat i
s th
e pr
obab
ility
that
he
is n
ot m
oder
atel
y pa
trio
tic?
Wri
te a
s a
frac
tion
in s
impl
est
form
.
RAN
CHIN
G Fo
r E
xerc
ises
4 a
nd
5, u
se th
e fo
llow
ing
info
rmat
ion
. Fo
r R
oger
to r
each
his
cat
tle
past
ure,
he
mus
t pa
ss th
roug
h th
ree
cons
ecut
ive
gate
s. A
ny o
f th
e th
ree
gate
s ca
n be
eit
her
open
or
clos
ed.
(Les
son
9-2)
4.
Mak
e a
tree
dia
gram
to s
how
all
of th
e po
ssib
le p
osit
ions
of t
he g
ates
.
5.
Wha
t is
the
prob
abili
ty th
at a
ll th
ree
gate
s w
ill b
e cl
osed
whe
n R
oger
vis
its
this
pas
ture
? W
rite
as
a fr
acti
on.
6.
SKAT
EBO
ARDS
Wor
ld S
port
s m
akes
sk
ateb
oard
s w
ith
dif
fere
nt d
eck
patt
erns
. Yo
u ca
n ch
oose
one
of f
our
dec
k le
ngth
s an
d o
ne o
f six
type
s of
whe
els.
If th
ey
have
120
dif
fere
nt s
kate
boar
ds,
how
m
any
dec
k pa
tter
ns a
re th
ere?
(Le
sson
9-3
)
7.
READ
ING
Mr.
Stea
dm
an p
lans
to r
ead
ei
ght c
hild
ren’
s no
vels
to h
is s
econ
d
grad
ers
dur
ing
the
scho
ol y
ear.
In h
ow
man
y w
ays
can
he a
rran
ge th
e bo
oks
to
be r
ead
? (L
esso
n 9-
4) 4
0,32
0 w
ays
8.
CRAF
TS M
arin
a ha
s pr
int f
abri
c in
pin
k,
blue
, mag
enta
, gre
en, y
ello
w, a
nd ta
n.
How
man
y d
iffe
rent
stu
ffed
bea
rs c
an
she
mak
e if
eac
h be
ar h
as o
nly
four
d
iffe
rent
fabr
ics,
and
the
ord
er o
f the
fa
bric
s is
not
impo
rtan
t? (
Less
on 9
-5)
9.
TRAV
EL T
here
are
four
sea
ts in
Ped
ro’s
ca
r: tw
o in
the
fron
t and
two
in th
e ba
ck.
If B
enny
, Car
lita,
and
Juan
ita
are
all i
n th
e ca
r w
ith
Ped
ro, h
ow m
any
way
s ca
n th
ey
be s
eate
d in
the
car
if P
edro
is d
rivi
ng?
Use
the
act i
t out
str
ateg
y. (
Less
on 9
-6)
10.
FOO
D T
he g
raph
sh
ows
the
resu
lts
of
a su
rvey
in w
hich
7t
h gr
ader
s at
Pl
enty
woo
d M
idd
le
Scho
ol w
ere
aske
d
to n
ame
thei
r fa
vori
te
frui
t. If
a 7
th g
rad
er
at th
e sc
hool
is
rand
omly
sel
ecte
d,
wha
t is
the
prob
abili
ty th
at th
ey c
hose
ba
nana
s as
thei
r fa
vori
te?
Wri
te a
s a
frac
tion
in s
impl
est f
orm
. (L
esso
n 9-
7)
MAR
BLES
For
Exe
rcis
es 1
1 an
d 1
2, r
efer
to
the
tab
le.
(Les
son
9-8)
11.
Wha
t is
the
prob
abili
ty o
f ra
ndom
ly s
elec
ting
on
e ye
llow
mar
ble
and
then
one
pur
ple
mar
ble?
Ass
ume
that
th
e fi
rst m
arbl
e is
no
t rep
lace
d.
12.
Wha
t is
the
prob
abili
ty o
f ran
dom
ly
sele
ctin
g tw
o re
d m
arbl
es?
Ass
ume
that
th
e fi
rst m
arbl
e is
rep
lace
d.Co
lor
Num
ber
Red
10
Blue
6
Purp
le10
Yello
w4
Gree
n2
71
2
Mix
ed P
rob
lem
So
lvin
g
6 _ 17
13 _ 20
47 _ 50
4. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
1 _ 8 6.
5 p
atte
rns
15 b
ears
6 w
ays
1 _ 4
25
_
256
5 _
12
4
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644_0704_0715_EM_874048 644644_0704_0715_EM_874048 644 11/29/07 6:22:43 PM11/29/07 6:22:43 PM
Mixed Problem
Solving
Mixed Problem Solving 714–715
Mixed Problem Solving
1.
CRAF
TS A
qui
lt p
atte
rn u
ses
25
para
llelo
gram
-sha
ped
pie
ces
of fa
bric
, ea
ch w
ith
a ba
se o
f 4 in
ches
and
a h
eigh
t of
2 1 _ 2 i
nche
s. H
ow m
uch
fabr
ic is
use
d
to m
ake
the
25 p
iece
s? (
Less
on 1
1-1)
250
in 2
2.
FURN
ITUR
E A
cor
ner
tabl
e is
in th
e sh
ape
of a
rig
ht tr
iang
le. I
f the
sid
e le
ngth
s of
th
e ta
blet
op a
re 3
.5 fe
et, 3
.5 fe
et, a
nd
4.9
feet
, wha
t is
the
area
? R
ound
to th
e ne
ares
t ten
th if
nec
essa
ry.
(Les
son
11-2
)
3.
PUZZ
LES
Find
th
e ar
ea o
f eac
h sm
all a
nd la
rge
shad
ed tr
iang
le.
Rou
nd to
the
near
est w
hole
.(L
esso
n 11
-2)
4.
EART
H SC
IEN
CE E
arth
has
a d
iam
eter
of
7,92
6 m
iles.
Use
the
form
ula
for
the
circ
umfe
renc
e of
a c
ircl
e to
est
imat
e th
e ci
rcum
fere
nce
of E
arth
at i
ts e
quat
or.
(Les
son
11-3
) ab
out 2
4,00
0 m
i
5.
COO
KIES
In
New
Zea
land
, a g
iant
cir
cula
r ch
ocol
ate
chip
coo
kie
was
bak
ed w
ith
a d
iam
eter
of 8
1 fe
et 8
inch
es. T
o th
e ne
ares
t squ
are
foot
, wha
t was
the
area
of
the
cook
ie?
(Les
son
11-4
) 5,
236
ft 2
6.
SPO
RTS
PRO
FIT
A s
tad
ium
sea
ts 1
,001
,800
pe
ople
. 22%
of t
he ti
cket
s co
st $
134.
87
each
. 45%
of t
he ti
cket
s co
st $
67.9
9 ea
ch.
The
rem
aini
ng 3
3% c
ost o
nly
$35.
87 e
ach.
A
bout
how
muc
h re
venu
e is
mad
e fr
om
one
gam
e w
hen
each
sea
t is
sold
out
? U
se th
e so
lve
a si
mpl
er p
robl
em s
trat
egy.
(L
esso
n 11
-5)
abou
t $72
,000
,000
7.
LAN
DSCA
PIN
G Fi
nd
the
area
of t
he fl
ower
ga
rden
sho
wn
in th
e d
iagr
am a
t the
rig
ht.
Rou
nd to
the
near
est
squa
re fo
ot.
(Les
son
11-6
)
8.
GEO
MET
RY A
cer
tain
thre
e-d
imen
sion
al
figu
re h
as fo
ur tr
iang
ular
face
s an
d o
ne
squa
re fa
ce. C
lass
ify
this
figu
re.
(Les
son
11-7
) sq
uare
pyr
amid
9.
RECO
RDS
Acc
ord
ing
to th
e G
uinn
ess
Boo
k of
Wor
ld R
ecor
ds, t
he ta
llest
hot
el in
the
wor
ld is
the
1,05
3-fo
ot s
ail-
shap
ed B
urj
Al A
rab
in D
ubai
, Uni
ted
Ara
b E
mir
ates
.
Dra
w p
ossi
ble
sket
ches
of t
he to
p, s
ide,
an
d fr
ont v
iew
s of
the
hote
l. (L
esso
n 11
-8)
OCE
ANS
For
Exe
rcis
es 1
0 an
d 1
1, u
se th
e fo
llow
ing
info
rmat
ion
.T
he A
tlan
tic
Oce
an h
as a
n ar
ea o
f abo
ut
33,4
20,0
00 s
quar
e m
iles.
Its
aver
age
dep
th
is 1
1,73
0 fe
et.
(Les
son
11-9
)
10.
To
the
near
est h
und
red
th, w
hat i
s th
e av
erag
e d
epth
of t
he A
tlan
tic
Oce
an in
m
iles?
(Hin
t: 1
mi =
5,2
80 ft
) 2.
22 m
i
11.
Wha
t is
the
appr
oxim
ate
volu
me
of th
e A
tlan
tic
Oce
an in
cub
ic m
iles?
WAT
ER F
or E
xerc
ises
12–
13, u
se th
e cy
lin
der
-sh
aped
wat
er ta
nk
. (L
esso
n 11
-10)
32 ft
25 ft
12.
Fin
d th
e vo
lum
e of
the
tank
. Rou
nd to
th
e ne
ares
t cub
ic fo
ot.
15,7
00 ft
3
13.
One
cub
ic fo
ot is
app
roxi
mat
ely
7.48
ga
llons
. Fin
d th
e ap
prox
imat
e vo
lum
e of
th
e w
ater
tank
to th
e ne
ares
t gal
lon.
5 cm
5 cm
10 c
m
10 c
m
7.1 cm
Chap
ter 1
1 M
easu
rem
ent:
Two-
and
Thr
ee-D
imen
sion
al F
igur
es
Page
s 56
8–63
1
35 ft
35 ft
71
4
Mix
ed P
rob
lem
So
lvin
g
6.1
ft 2
smal
l: 13
cm
2 ,la
rge:
25
cm 2
3,14
8 ft
2
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
74,1
92,4
00 m
i 3
13. 1
17,4
36 g
al
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M
Mixed Problem Solving
1.
OM
ELET
S In
Japa
n, a
gig
anti
c om
elet
was
m
ade
wit
h an
are
a of
1,3
83 s
quar
e fe
et. I
f th
e om
elet
was
a s
quar
e, w
hat w
ould
be
its
sid
e le
ngth
s? R
ound
to th
e ne
ares
t te
nth.
(Le
sson
12-
1) 3
7.2
ft
2.
SOFT
BALL
A s
oftb
all d
iam
ond
is a
squ
are
mea
suri
ng 6
0 fe
et o
n ea
ch s
ide.
2nd
Base
Hom
e Pl
ate60
ft
60 ft
How
far
doe
s a
play
er o
n se
cond
bas
e th
row
whe
n sh
e th
row
s fr
om s
econ
d b
ase
to h
ome?
Rou
nd to
the
near
est t
enth
. (L
esso
n 12
-2)
84.9
ft
3.
BAN
DS M
r. G
arci
a is
pla
nnin
g a
band
fo
rmat
ion
at a
foot
ball
gam
e. T
he d
iagr
am
show
s th
e di
men
sion
s of
the
fiel
d.
330
ft
100
ft
A
B
To
the
near
est f
oot,
wha
t is
the
dis
tanc
e fr
om A
to B
? (L
esso
n 12
-2)
345
ft
4.
GEO
MET
RYTw
o ri
ght t
rian
gles
are
sid
e by
si
de
such
that
they
form
a la
rger
isos
cele
s tr
iang
le. I
f the
two
righ
t tri
angl
es a
re
cong
ruen
t and
eac
h ha
ve a
ngle
mea
sure
s of
90°
, 45°
, and
45°
, wha
t typ
e of
tria
ngle
w
ill th
e ne
w is
osce
les
tria
ngle
be?
Use
th
e m
ake
a m
odel
str
ateg
y. (
Less
on 1
2-3)
5.
CUBE
SA
rec
tang
ular
pri
sm is
form
ed
from
48
cent
imet
er c
ubes
suc
h th
at th
e he
ight
of t
he p
rism
is o
ne h
alf o
f the
w
idth
and
one
thir
d o
f the
leng
th o
f th
e pr
ism
. Fin
d th
e d
imen
sion
s of
the
rect
angu
lar
pris
m. U
se th
e m
ake
a m
odel
st
rate
gy.
(Les
son
12-3
) 6
cm b
y 4
cm b
y 2
cm
For
Exe
rcis
es 6
an
d 7
, use
the
foll
owin
g in
form
atio
n.
Liz
is d
esig
ning
som
e gi
ft b
oxes
. The
sm
all
box
is 6
inch
es lo
ng, 4
inch
es w
ide,
and
2.5
in
ches
hig
h. T
he m
ediu
m b
ox h
as d
imen
sion
s th
at a
re e
ach
3 ti
mes
the
dim
ensi
ons
of th
e sm
all b
ox.
(Les
son
12-4
)
6.
Fin
d th
e su
rfac
e ar
ea o
f the
sm
all b
ox.
7.
Wha
t are
the
dim
ensi
ons
of th
e m
ediu
m
box?
The
n fi
nd th
e su
rfac
e ar
ea o
f the
m
ediu
m b
ox.
STO
RAGE
For
Exe
rcis
es 8
–10,
use
the
foll
owin
g in
form
atio
n.
The
two
cani
ster
s sh
own
belo
w e
ach
have
a
volu
me
of a
bout
628
.3 c
ubic
inch
es.
(Les
son
12-5
)
4 in
.r 8
in.
h
8.
Wha
t is
the
rad
ius
of th
e bl
ue c
anis
ter?
R
ound
to th
e ne
ares
t ten
th.
5.0
in.
9.
Wha
t is
the
heig
ht o
f the
yel
low
can
iste
r?
Rou
nd to
the
near
est t
enth
. 12
.5 in
.
10.
Wha
t is
the
dif
fere
nce
betw
een
the
surf
ace
area
s of
the
two
cani
ster
s? 6
.3 in
2
HATS
For
Exe
rcis
es 1
1–13
, use
the
foll
owin
g in
form
atio
n.
(Les
son
12-5
)
A c
erta
in c
ylin
der
-sha
ped
hat
box
has
a
heig
ht o
f 9 in
ches
and
a r
adiu
s of
5.5
inch
es.
Its
lid is
als
o sh
aped
as
a cy
lind
er, w
ith
a sl
ight
ly la
rger
dia
met
er s
o th
at th
e lid
fits
ov
er th
e bo
x.
11.
How
man
y sq
uare
inch
es o
f mat
eria
l ar
e ne
eded
to m
ake
the
hat b
ox, n
ot
incl
udin
g th
e lid
? R
ound
to th
e ne
ares
t te
nth.
405
.8 in
2
12.
If t
he li
d h
as a
hei
ght o
f 3.5
inch
es a
nd a
d
iam
eter
of 1
1.8
inch
es, h
ow m
any
squa
re
inch
es o
f mat
eria
l are
nee
ded
to m
ake
the
lid?
Rou
nd to
the
near
est t
enth
. 23
9.0
in 2
13.
How
man
y ti
mes
mor
e m
ater
ial i
s ne
eded
to m
ake
the
hat b
ox th
an th
e lid
? R
ound
to th
e ne
ares
t ten
th.
1.7
Chap
ter 1
2 Ex
tend
ing
Geom
etry
and
Mea
sure
men
t Pa
ges
634–
663
Mix
ed P
rob
lem
So
lvin
g
71
5
right
tria
ngle
6. 9
8 in
2
18 in
. by
12 in
. by
7.5
in.;
882
in 2
715_
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Prep
arin
g fo
rSt
anda
rdiz
ed T
ests
716–717 Preparing for Standardized Tests
7
17
Prep
are
• G
o to
bed
ear
ly t
he n
ight
bef
ore
the
test
. You
will
thi
nk m
ore
clea
rly a
fter
a go
od n
ight
’s r
est.
• B
ecom
e fa
mili
ar w
ith c
omm
on f
orm
ulas
and
whe
n th
ey s
houl
d be
use
d.
• Th
ink
posi
tivel
y.
Durin
g th
e Te
st•
Read
eac
h pr
oble
m c
aref
ully
. Und
erlin
e ke
y w
ords
and
thi
nk a
bout
di
ffere
nt w
ays
to s
olve
the
pro
blem
.
• W
atch
for
key
wor
ds li
ke n
ot. A
lso
look
for
ord
er w
ords
like
leas
t, gr
eate
st,
first
, and
last
.
• An
swer
que
stio
ns y
ou a
re s
ure
abou
t fir
st. I
f yo
u do
not
kno
w t
he
answ
er t
o a
ques
tion,
ski
p it
and
go b
ack
to t
hat
ques
tion
late
r.
• C
heck
you
r an
swer
to
mak
e su
re
it is
rea
sona
ble.
• M
ake
sure
tha
t th
e nu
mbe
r of
th
e qu
estio
n on
the
ans
wer
sh
eet
mat
ches
the
num
ber
of
the
ques
tion
on w
hich
you
are
w
orki
ng in
you
r te
st b
ookl
et.
Wha
teve
r yo
u do
...•
Don
’t tr
y to
do
it al
l in
your
he
ad. I
f no
fig
ure
is p
rovi
ded,
dr
aw o
ne.
• D
on’t
rush
. Try
to
wor
k at
a
stea
dy p
ace.
• D
on’t
give
up.
Som
e pr
oble
ms
may
see
m h
ard
to y
ou, b
ut y
ou
may
be
able
to
figur
e ou
t w
hat
to d
o if
you
read
eac
h qu
estio
n ca
refu
lly o
r tr
y an
othe
r st
rate
gy.
717_
0716
-073
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710
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712
:54:
03P
M
City
Am
ount
of R
ain
(in.)
Num
ber
of D
ays
Albu
quer
que,
NM
9 15
60 90De
nver
, CO
49.
The
tabl
e gi
ves
the
num
ber
of h
ours
O
rlan
do
spen
t at f
ootb
all p
ract
ice
for
one
wee
k.
Day
Tim
e (h
ours
)
Mon
day
1 1 _ 2
Tues
day
2
Wed
nesd
ay2 1 _ 3
Thur
sday
1 5 _ 6
Frid
ay2 1 _ 2
Satu
rday
1 3 _ 4
How
man
y m
ore
hour
s d
id h
e pr
acti
ce
over
the
last
thre
e d
ays
than
he
did
ov
er th
e fi
rst t
hree
day
s?
A
1 _ 4 h
B
1 _ 2 h
C
2 _ 3 h
D
3 _ 4 h
50.
Whi
ch o
f the
follo
win
g is
the
prim
e fa
ctor
ed fo
rm o
f the
low
est c
omm
on
den
omin
ator
of
7
_
12 +
11
_
18 ?
F
2 ×
3
G
2 ×
3 2
H
2 2 ×
3 2
J
2 3 × 3
51.
Find
5 _ 6 - 1 _ 8 .
A
4 _ 7
B
3 _ 8
C
7 _
12
D
17
_
24
Est
imat
e. (
Less
on 5
-1)
52.
6 _ 7 - 5 _
12
53
. 4 1 _ 9 +
3 3 _ 4
54.
16 2 _ 3 ÷
8 1 _ 5
55.
5 4 _ 5 · 3
1 _ 3
56.
WEA
THER
The
tabl
e sh
ows
abou
t how
muc
h ra
in
falls
in A
lbuq
uerq
ue a
nd D
enve
r. W
hich
cit
y ha
s th
e gr
eate
r fr
acti
on o
f inc
hes
of r
ain
per
day
? E
xpla
in.
(Les
son
4-9)
57.
Wri
te 0
.248
as
a pe
rcen
t. (L
esso
n 4-
7)
ALGE
BRA
Fin
d e
ach
su
m if
a =
-3
and
b =
2.
(Les
sons
2-4
and
2-5
)
58.
a +
b
59
. a
- b
60.
b -
a
PRER
EQUI
SITE
SKI
LL C
omp
lete
.
61.
5 2 _ 3 = 5
+
62
. 1
=
_
9
63
. 1
=
_
5
64
. =
4 +
3 _ 8
Sour
ce: T
he W
eath
er C
hann
el
Less
on
5-2
Ad
din
g a
nd
Su
btr
acti
ng
Fra
ctio
ns
241
Cost ($)
1520 10 5 01
23
45
Num
ber o
f Mag
azin
es
( 3, 1
2)( 2
, 8) ( 1
, 4)
( 4, 1
6)
Cost
of M
agaz
ines
Mid
-Cha
pte
r Q
uiz
Less
ons 6
-1 th
roug
h 6-
66
RECI
PE F
or E
xerc
ises
1–3
, use
the
info
rmat
ion
in
the
tab
le to
wri
te e
ach
rat
io a
s a
frac
tion
in
sim
ple
st f
orm
. (L
esso
n 6-
1)
Cher
ry P
un
ch R
ecip
e
Cher
ry Ju
ice 4
cup
s
Appl
e Ju
ice 2
cup
s
Ging
er A
le16
cup
s
1.
cher
ry ju
ice :
app
le ju
ice
2.
appl
e ju
ice :
gin
ger
ale
3.
cher
ry ju
ice :
gin
ger
ale
Det
erm
ine
wh
eth
er th
e ra
tios
are
eq
uiv
alen
t. E
xpla
in.
(Les
son
6-1)
4.
6 ou
t of 9
wor
ds
spel
led
cor
rect
ly2
out o
f 3 w
ord
s sp
elle
d c
orre
ctly
5.
150
athl
etes
to 1
5 co
ache
s 3
athl
etes
to 1
coa
ch
6.
24 p
oint
s in
4 g
ames
72
poi
nts
in 8
gam
es
7.
MUL
TIPL
E CH
OIC
E W
hich
am
ount
of
choc
olat
e sh
own
in th
e ta
ble
has
the
best
un
it p
rice
? (L
esso
n 6-
2)
Wei
ght (
oz)
Cost
($)
122.
50
183.
69
244.
95
306.
25
A
12 o
z C
24
oz
B
18 o
z D
36
oz
8.
Use
the
grap
h to
fin
d th
e ra
te o
f ch
ange
in c
ost
per
mag
azin
e.
(Les
son
6-3)
Com
ple
te.
(Les
son
6-4)
9.
42 ft
=
yd
10.
9 pt
=
qt
11.
7,60
0 lb
=
T
12
. 7 1 _ 2 g
al =
q
t
13.
MUL
TIPL
E CH
OIC
E W
hich
sit
uati
on is
bes
t re
pres
ente
d b
y th
e gr
aph?
(Le
sson
6-4
)
y
xO122436486072
12
34
56
F co
nver
sion
of i
nche
s to
yar
ds
G c
onve
rsio
n of
feet
to in
ches
H c
onve
rsio
n of
inch
es to
mile
s
J co
nver
sion
of y
ard
s to
feet
Com
ple
te. R
oun
d to
the
nea
rest
hu
nd
red
th
if n
eces
sary
. (L
esso
n 6-
5)
14.
12.5
mi ≈
k
m
15.
4.75
gal
≈
L
16.
76 c
m ≈
in
. 1
7. 3
1.8
kg ≈
lb
Det
erm
ine
if th
e q
uan
titi
es in
eac
h p
air
of r
atio
s ar
e p
rop
orti
onal
. Exp
lain
. (L
esso
n 6-
6)
18.
8 pa
ges
in 5
min
utes
and
40
page
s in
25
min
utes
19.
40 b
lank
CD
s fo
r $9
.60
and
24
blan
k C
Ds
for
$4.8
0
Sol
ve e
ach
pro
por
tion
. (L
esso
n 6-
6)
20.
3 _ d = 12
_
20
21.
7 _ 8 = m
_
48
22.
w
_
8 = 1 _ 3
23.
MEA
SURE
MEN
T It
took
45
min
utes
to fi
ll a
circ
ular
poo
l of u
nifo
rm d
epth
to a
leve
l of
18 in
ches
. At t
his
rate
, how
long
will
it ta
ke
to fi
ll th
e po
ol to
a le
vel o
f 35
inch
es?
(Les
son
6-6)
Ch
ap
ter
6 M
id-C
hap
ter
Qu
iz
317
Test
Pra
ctic
eCu
mu
lati
ve, C
hap
ters
1–9
9 M
ath
Onlin
egl
enco
e.co
m
• Tes
t Pra
ctic
e
5.
The
res
ults
of a
n el
ecti
on fo
r st
uden
t bod
y pr
esid
ent s
how
ed th
at T
rey
rece
ived
250
vo
tes,
Mar
ta 1
00 v
otes
, and
Ed
50
vote
s.
Whi
ch o
f the
follo
win
g co
rrec
tly
dis
play
s th
e el
ecti
on r
esul
ts?
A
EdM
arta
Trey
200 0
100
300
Votes
Cand
idat
e
Elec
tion
Resu
lts
B
EdM
arta
Trey
200 0
100
300
Votes
Cand
idat
e
Elec
tion
Resu
lts
C
EdM
arta
Trey
150
200
100 050250
Votes
300
Cand
idat
e
Elec
tion
Resu
lts
D
EdM
arta
Trey
200 0
100
300
Votes
Cand
idat
e
Elec
tion
Resu
lts
6.
Wha
t is
4 ÷
1 _ 3 ?
F 1 _
12
H
7
G 4 _ 3
J 12
Read
eac
h qu
estio
n. T
hen
fill i
n th
e co
rrec
t an
swer
on
the
answ
er s
heet
pro
vide
d by
you
r te
ache
r or
on
a sh
eet
of p
aper
.
1.
Jess
ica
play
ed a
gam
e w
here
she
spu
n ea
ch
of th
e sp
inne
rs s
how
n be
low
onc
e. If
she
sp
ins
an e
ven
num
ber
on S
pinn
er 1
, red
or
yello
w o
n Sp
inne
r 2,
and
a B
on
Spin
ner
3,
how
man
y po
ssib
le u
niqu
e co
mbi
nati
ons
are
ther
e?
632
418
7
5
AB
Red
Yello
w
Blue
Sp
inne
r 1
Sp
inne
r 2
Sp
inne
r 3
A 4
C
10
B
8 D
16
2.
Mr.
Cam
pos
boug
ht 4
0 pe
ncils
pri
ced
at
8 fo
r $0
.99
and
3 d
ozen
not
eboo
ks p
rice
d
at 4
for
$2.4
9. F
ind
the
tota
l am
ount
, not
in
clud
ing
tax,
Mr.
Cam
pos
spen
t on
penc
ils
and
not
eboo
ks.
F $2
8.86
H
$17
.88
G $
27.3
6 J
$15.
96
3.
In a
mov
ie th
eate
r th
ere
are
168
seat
s. If
75%
of
the
thea
ter
is fi
lled
, how
man
y pe
ople
are
si
ttin
g in
the
mov
ie th
eate
r?
A 1
56
C
134
B
148
D 1
26
4.
Mr.
Blac
kwel
l gav
e hi
s m
ath
stud
ents
a p
op
quiz
. The
stu
dent
s’ s
core
s ar
e lis
ted
belo
w.
Wha
t is
the
med
ian
quiz
sco
re?
2319
1812
2124
25
F 12
H
24
G 2
1 J
25
504
Ch
ap
ter
9 P
rob
abili
ty
Thro
ugho
ut t
he s
choo
l yea
r, yo
u m
ay b
e re
quire
d to
tak
e se
vera
l sta
ndar
dize
d te
sts,
an
d yo
u m
ay h
ave
man
y qu
estio
ns a
bout
th
em. H
ere
are
som
e an
swer
s to
hel
p yo
u ge
t re
ady.
How
Sho
uld
I Stu
dy?
The
good
new
s is
tha
t yo
u’ve
bee
n st
udyi
ng a
ll al
ong—
a lit
tle b
it ev
ery
day.
Her
e ar
e so
me
of t
he w
ays
your
te
xtbo
ok h
as b
een
prep
arin
g yo
u.
• Ev
ery
Day
Eac
h le
sson
had
m
ultip
le-c
hoic
e pr
actic
e qu
estio
ns.
• Ev
ery
Wee
k Th
e M
id-C
hapt
er Q
uiz
and
Prac
tice
Test
als
o ha
d se
vera
l pra
ctic
e qu
estio
ns.
• Ev
ery
Mon
th T
he T
est
Prac
tice
page
s at
th
e en
d of
eac
h ch
apte
r ha
d ev
en m
ore
ques
tions
, inc
ludi
ng s
hort
-res
pons
e/gr
id-in
an
d ex
tend
ed-r
espo
nse
ques
tions
.
Are
Ther
e O
ther
Way
s to
Rev
iew
?Ab
solu
tely
! The
fol
low
ing
page
s co
ntai
n ev
en m
ore
prac
tice
for
stan
dard
ized
tes
ts.
Tips
for
Suc
cess
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
717
Mul
tipl
e-Ch
oice
Que
stio
ns .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
.718
Gri
dded
-Res
pons
e Q
uest
ions
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
722
Shor
t-R
espo
nse
Que
stio
ns .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
.726
Exte
nded
-Res
pons
e Q
uest
ions
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. . .
. .73
0
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Preparing forStandardized Tests
Preparing for Standardized Tests 718–719
Preparing forStandardized Tests
Mul
tiple
-Cho
ice
Que
stio
nsM
ulti
ple-
choi
ce q
uest
ions
are
the
mos
t com
mon
type
of q
uest
ion
on
stan
dar
diz
ed te
sts.
The
se q
uest
ions
are
som
etim
es c
alle
d s
elec
ted-
resp
onse
qu
esti
ons.
You
are
ask
ed to
cho
ose
the
best
ans
wer
from
four
or
five
po
ssib
le a
nsw
ers.
To r
ecor
d a
mul
tipl
e-ch
oice
ans
wer
, you
may
be
aske
d to
sha
de
in a
bu
bble
that
is a
cir
cle
or a
n ov
al o
r ju
st to
wri
te th
e le
tter
of y
our
choi
ce.
Alw
ays
mak
e su
re th
at y
our
shad
ing
is d
ark
enou
gh a
nd c
ompl
etel
y co
vers
the
bubb
le.
The
ans
wer
to a
mul
tipl
e-ch
oice
que
stio
n m
ay n
ot s
tand
out
from
the
choi
ces.
How
ever
, you
may
be
able
to e
limin
ate
som
e of
the
choi
ces.
A
noth
er a
nsw
er c
hoic
e m
ight
be
that
the
corr
ect a
nsw
er is
not
giv
en.
1 M
rs. H
on’s
sev
enth
gra
de
stu
den
ts a
re p
urc
has
ing
stu
ffed
an
imal
s to
don
ate
to a
ch
arit
y. T
hey
bou
ght 3
box
es c
onta
inin
g ei
ght a
nim
als
each
an
d 2
box
es c
onta
inin
g tw
elve
an
imal
s ea
ch. W
hic
h e
xpre
ssio
n
cann
ot b
e u
sed
to f
ind
the
tota
l nu
mb
er o
f an
imal
s th
ey b
ough
t to
give
to th
e ch
arit
y?A
8 +
8 +
8 +
12
+ 1
2
C 3
(8) +
2(1
2)
B 3
× 8
+ 2
× 1
2 D
5 ×
(8 +
12)
Rea
d th
e pr
oble
m c
aref
ully
and
loca
te th
e im
port
ant i
nfor
mat
ion.
T
here
are
3 b
oxes
that
hav
e ei
ght a
nim
als,
so
that
is 3
× 8
, or
24 a
nim
als.
The
re a
re 2
box
es o
f tw
elve
ani
mal
s, s
o th
at is
2 ×
12,
or
24
anim
als.
The
tota
l num
ber
of a
nim
als
is 2
4 +
24,
or
48.
You
know
from
rea
din
g th
e pr
oble
m th
at y
ou a
re lo
okin
g fo
r th
e ex
pres
sion
that
doe
s no
t sim
plif
y to
48.
Sim
plif
y ea
ch e
xpre
ssio
n to
fi
nd th
e an
swer
.
A 8
+ 8
+ 8
+ 1
2 +
12
= (8
+ 8
+ 8
) + (1
2 +
12)
=
24
+ 2
4
=
48
B 3
× 8
+ 2
× 1
2 =
24
+ 2
4
=
48
C 3
(8) +
2(1
2) =
24
+ 2
4
=
48
D 5
× (8
+ 1
2) =
5 ×
20
=
100
The
onl
y ex
pres
sion
that
doe
s no
t sim
plif
y to
48
is D
. The
cor
rect
ch
oice
is D
.
Not
ice
that
the
prob
lem
as
ks fo
r th
e ex
pres
sion
th
atca
nnot
rep
rese
nt
the
situ
atio
n.
71
8
Prep
arin
g f
or
Stan
dar
diz
ed T
ests
718_
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-073
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7404
671
810
/2/0
712
:54:
09P
M
Preparing forStandardized Tests
4 m
i 10
mi
WE
N S
Som
e pr
oble
ms
are
easi
er to
sol
ve if
you
dra
w a
dia
gram
. If y
ou c
anno
t w
rite
in th
e te
st b
ookl
et, d
raw
a d
iagr
am o
n sc
ratc
h pa
per.
2 O
n a
hik
ing
trip
, Gra
ce a
nd
Ali
cia
trav
eled
10
mil
es s
outh
an
d
4 m
iles
wes
t. If
they
tak
e th
e sh
orte
st r
etu
rn r
oute
, how
far
wil
l th
e h
ike
be
bac
k to
thei
r st
arti
ng
poi
nt?
Rou
nd
to th
e n
eare
st
ten
th o
f a
mil
e.A
6.0
mi
B 9
.2 m
i C
10.
8 m
i D
14.
0 m
i
To s
olve
this
pro
blem
, you
nee
d to
dra
w
a d
iagr
am o
f the
sit
uati
on. L
abel
the
dir
ecti
ons
and
the
impo
rtan
t inf
orm
atio
n fr
om th
e pr
oble
m.
Use
the
Pyth
agor
ean
The
orem
to fi
nd th
e d
ista
nce
that
they
will
hik
e ba
ck to
thei
r st
arti
ng p
oint
.
c
2 = a
2 + b
2
Pyth
agor
ean
Theo
rem
c
2 = 4
2 + 1
0 2 Re
plac
ea
with
4 a
nd b
with
10.
c
2 = 1
6 +
100
Si
mpl
ify.
c
2 = 1
16
Add.
√ �
c 2 =
√ �
�
116
Take
the
squa
re r
oot o
f eac
h si
de.
c
≈ 1
0.8
Use
a c
alcu
lato
r to
sim
plify
.
The
hik
e ba
ck w
ill b
e ab
out 1
0.8
mile
s. T
he c
orre
ct c
hoic
e is
C.
Som
e pr
oble
ms
give
you
mor
e in
form
atio
n th
an y
ou n
eed
to s
olve
th
e pr
oble
m. R
ead
the
ques
tion
car
eful
ly to
det
erm
ine
the
info
rmat
ion
you
need
.
3 O
ne
of th
e b
igge
st p
iece
s of
ch
eese
eve
r p
rod
uce
d w
as m
ade
in 1
866
in I
nge
rsol
l, C
anad
a. I
t wei
ghed
7,3
00 p
oun
ds.
It w
as s
hap
ed a
s a
cyli
nd
er w
ith
a d
iam
eter
of
7 fe
et a
nd
a h
eigh
t of
3 fe
et. T
o th
e n
eare
st c
ub
ic f
oot,
wh
at w
as th
e vo
lum
e of
the
chee
se?
Use
3.1
4 fo
r π
.A
462
ft 3
B 1
43 ft
3 C
115
ft 3
D 6
3 ft
3
You
need
to u
se th
e fo
rmul
a fo
r th
e vo
lum
e of
a c
ylin
der
. The
dia
met
er
is 7
feet
, so
the
rad
ius
is 7 _ 2 o
r 3.
5 fe
et. T
he h
eigh
t is
3 fe
et.
V =
π r 2 h
Volu
me
of a
cyl
inde
r
V ≈
(3.1
4) (3
.5) 2
(3)
Repl
ace
π w
ith 3
.14,
r w
ith 3
.5, a
nd h
with
3.
V ≈
115
.395
Si
mpl
ify.
The
vol
ume
of th
e ch
eese
is a
bout
115
cub
ic fe
et. T
he c
orre
ct c
hoic
e is
C.
STRA
TEGY
Diag
ram
sDr
aw a
dia
gram
for
the
situa
tion.
STRA
TEGY
Form
ulas
Use
the
refe
renc
e sh
eet t
o fin
d th
e co
rrec
t for
mul
a.
Roun
d th
e an
swer
to
the
corr
ect
deci
mal
pla
ce.
Pre
par
ing
fo
r St
and
ard
ized
Tes
ts
71
9
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M_8
7404
671
910
/2/0
712
:54:
12P
M
647_0716_0733_EM_874048 647647_0716_0733_EM_874048 647 11/29/07 6:23:18 PM11/29/07 6:23:18 PM
Prep
arin
g fo
rSt
anda
rdiz
ed T
ests
720–721 Preparing for Standardized Tests
Preparing forStandardized Tests
Mul
tiple
-Cho
ice
Prac
tice
Ch
oo
se t
he
bes
t an
swer
.
1.
The
wor
ld’s
sm
alle
st f
ruit
is th
e fr
uit o
f a
wol
ffia
pla
nt, w
hich
mea
sure
s ab
out 0
.01
inch
in le
ngth
. Ano
ther
sm
all f
ruit
is th
e ey
e of
a s
ewin
g ne
edle
, wit
h a
leng
th
of 0
.20
inch
. How
man
y ti
mes
long
er is
th
e ey
e of
a s
ewin
g ne
edle
fru
it th
an a
w
olff
ia f
ruit
? D
A 0
.002
C
2
B
0.00
5 D
20
2.
The
tabl
e sh
ows
wha
t typ
es o
f tr
ash
fill
land
fills
in th
e U
nite
d S
tate
s. W
hat f
ract
ion
of th
e tr
ash
in la
ndfi
lls is
pla
stic
? D
Type
of T
rash
Perc
ent i
n La
ndfil
ls
met
al8%
plas
tic24
%
food
, yar
d w
aste
11%
rubb
er, l
eath
er6%
pape
r21
%
othe
r tra
sh30
%
Sour
ce: T
he W
orld
Alm
anac
for K
ids
F 1 _
10
0 H
1 _ 6
G
1 _
24
J
6 _
25
3.
A r
ecen
t mov
ie e
arne
d 3
17 m
illio
n d
olla
rs
in ti
cket
sal
es. W
hat i
s th
is v
alue
in
scie
ntif
ic n
otat
ion?
C
A 3
.17
B
317 ×
10 6
C 3
.17 ×
10 8
D 3
.17 ×
10 11
4.
Mer
cury
orb
its
the
sun
at 2
9.75
mile
s pe
r se
cond
. Ear
th o
rbit
s th
e su
n at
18.
51
mile
s pe
r se
cond
. How
man
y m
ore
mile
s d
oes
Mer
cury
trav
el in
one
min
ute
than
E
arth
? C
F 11
.24
mi
H 6
74.4
mi
G 2
69.7
6 m
i J
40,4
64 m
i
5.
The
tabl
e sh
ows
the
popu
lati
on g
row
th o
f a
cert
ain
bact
eria
. How
man
y ba
cter
ia w
ill
ther
e be
aft
er 5
hou
rs?
C
Hour
s0
12
34
5
Num
ber o
f Ba
cter
ia32
4872
104
144
?
A 2
43
B 2
00
C 1
92
D 1
78
6.
Whi
ch f
unct
ion
rule
des
crib
es th
e re
lati
onsh
ip b
etw
een
dis
tanc
e fr
om
hom
e y
and
hou
rs tr
avel
ed x
? D
Tim
e (h
)Di
stan
ce fr
om H
ome
(mi)
xy
0
0
1 6
5
213
0
319
5
F 65y =
x
H y
= x
+ 6
5
G y
= 6
5 ÷
x
J y =
65x
7.
For
a fa
mily
por
trai
t, a
phot
ogra
pher
ch
arge
s a
sitt
ing
fee
and
an
amou
nt o
f m
oney
per
por
trai
t ord
ered
. Whi
ch fu
nctio
n ru
le d
escr
ibes
the
rela
tion
ship
bet
wee
n th
e to
tal c
ost y
and
num
ber
of p
ortr
aits
x?
C
y
x
Total Cost ($)
40 20 060708090 30 1050
12
34
5N
umbe
r of P
ortr
aits
100
6
Fam
ily P
ortr
ait
( 0, 4
0)( 1, 5
0)( 2, 6
0)( 3, 7
0)( 4, 8
0)( 5, 9
0)
A y
= 1
0 +
40x
C
y =
40 +
10x
B y =
40x
+ 1
0x
D y
= 1
0x
72
0
Prep
arin
g f
or
Stan
dar
diz
ed T
ests
720_
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010
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:54:
14P
M
Preparing forStandardized Tests
12
43
8.
The
thre
e to
wns
on
the
map
for
m a
tr
iang
le. W
hich
term
best
des
crib
es th
e an
gle
wit
h ve
rtex
at W
orth
ingt
on?
A
30˚
55˚
Wor
thin
gton
Win
dom
Pipe
ston
e
F ob
tuse
H
acu
te
G r
ight
J
stra
ight
9.
Ped
ro is
usi
ng a
tria
ngle
in a
com
pute
r gr
aphi
cs d
esig
n. O
n a
coor
din
ate
plan
e,
the
vert
ices
of
the
tria
ngle
are
A(-
1, 1
), B
(0, 2
), an
d C
(5, -
1). I
f Pe
dro
tran
slat
es
the
tria
ngle
4 u
nits
left
and
3 u
nits
dow
n,
wha
t will
be
the
coor
din
ates
of B′?
D
A (-
1, -
4)
C
(4, 5
)
B
(4, -
1)
D (-
4, -
1)
10.
Jasm
ine
is u
sing
this
pol
ygon
on
a po
ster
sh
e is
mak
ing
for
the
bask
etba
ll te
am.
Whi
ch te
rm best
des
crib
es th
e po
lygo
n? D
All
the
way
to the
top!
F qu
adri
late
ral
H h
exag
on
G d
ecag
on
J he
ptag
on
11.
Cri
spy
Cra
cker
s ar
e pa
ckag
ed in
a b
ox
that
mea
sure
s 6
inch
es b
y 2.
5 in
ches
by
10
inch
es. W
hich
dim
ensi
ons
are
of a
pri
sm
that
has
the
sam
e vo
lum
e as
the
Cri
spy
Cra
cker
s bo
x? B
A 6
.5 in
. by
2 in
. by
10 in
.
B
6.25
in. b
y 3
in. b
y 8
in.
C 7
.25
in. b
y 2
in. b
y 9.
5 in
.
D 4
in. b
y 7.
5 in
. by
6 in
.
Que
stio
n 11
Mos
t sta
ndar
dize
d te
sts
will
in
clud
e an
y co
mm
only
use
d fo
rmul
as a
t the
fr
ont o
f the
test
boo
klet
. Qui
ckly
rev
iew
the
list b
efor
e yo
u be
gin
so th
at y
ou k
now
wha
t fo
rmul
as a
re a
vaila
ble.
12.
The
Cra
b ne
bula
is a
clo
ud o
f ga
s an
d
dus
t par
ticl
es in
spa
ce th
at is
exp
and
ing
at a
rat
e of
930
mile
s pe
r se
cond
. Wha
t is
its
rate
of
expa
nsio
n in
mile
s pe
r ho
ur?
D
F 22
,320
mph
H
1,3
39,2
00 m
ph
G 5
5,80
0 m
ph
J 3,
348,
000
mph
13.
Supe
r T
oys
mak
es tw
o si
zes
of b
uild
ing
bloc
ks s
hape
d a
s cu
bes.
The
larg
e bl
ock
has
sid
e le
ngth
fou
r ti
mes
the
leng
th o
f th
e sm
all b
lock
. Wha
t is
the
rati
o of
the
surf
ace
area
of
the
smal
l blo
ck to
the
surf
ace
area
of
the
larg
e bl
ock?
C
A 1
to 4
C
1
to 1
6
B
1 to
6
D 1
to 3
2
14.
The
tabl
e sh
ows
the
num
ber
of s
tud
ents
pl
ayin
g ea
ch s
port
at W
ilson
Jun
ior
Hig
h.
Find
the
mea
n of
the
dat
a. C
Spor
tN
umbe
r of S
tude
nts
base
ball/
softb
all
49
bask
etba
ll74
socc
er82
swim
min
g21
track
and
fiel
d11
5
volle
ybal
l25
F 23
G
49
H 6
1 J
94
15.
The
spi
nner
is d
ivid
ed
into
fou
r eq
ual-
size
d
sect
ions
. If
you
spin
the
spin
ner
62 ti
mes
, whi
ch
is th
e best
est
imat
e fo
r th
e nu
mbe
r of
tim
es
you
will
land
on
2? A
A
15
B 3
0 C
40
D
50
Pre
par
ing
fo
r St
and
ard
ized
Tes
ts
72
1
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672
110
/2/0
712
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17P
M
648_0716_0733_EM_874048 648648_0716_0733_EM_874048 648 11/29/07 6:23:24 PM11/29/07 6:23:24 PM
Preparing forStandardized Tests
Preparing for Standardized Tests 722–723
Preparing forStandardized Tests
00
00
01
11
11
22
22
23
33
33
44
44
45
55
55
66
66
67
77
77
88
88
89
99
99
/5
9
00
00
01
11
11
22
22
23
33
33
44
44
45
55
55
66
66
67
77
77
88
88
89
99
99
.8
1
Man
y gr
idd
ed-r
espo
nse
ques
tion
s re
sult
in a
n an
swer
that
is a
frac
tion
or
a d
ecim
al. T
hese
val
ues
can
also
be
fille
d in
on
the
grid
.
2 A
pri
ze b
ox c
onta
ins
12 g
litt
er p
enci
ls, 5
flu
ores
cen
t pen
s, a
nd
13
mec
han
ical
pen
cils
. If
Ale
x ra
nd
omly
sel
ects
a p
rize
, wh
at is
th
e p
rob
abil
ity
that
he
wil
l ch
oose
a g
litt
er p
enci
l?
P(g
litte
r pe
ncil)
= nu
mbe
r of
favo
rabl
e ou
tcom
es
__
__
_
num
ber
of p
ossi
ble
outc
omes
=
12
__
12 +
5 +
13 =
12
_
30 o
r 2 _ 5
You
can
eith
er g
rid
the
frac
tion
12
_
30 o
r 2 _ 5 . Y
ou a
lso
can
rew
rite
the
frac
tion
as
a d
ecim
al a
nd g
rid
0.4
. Be
sure
to w
rite
the
dec
imal
poi
nt o
r fr
acti
on b
ar in
the
answ
er b
ox. T
he fo
llow
ing
are
acce
ptab
le a
nsw
ers.
00
00
01
11
11
22
22
23
33
33
44
44
45
55
55
/3
12
0
00
00
01
11
11
22
22
23
33
33
44
44
45
55
55
52
/
00
00
01
11
11
22
22
23
33
33
44
44
45
55
554
0.
00
00
01
11
11
22
22
23
33
33
44
44
45
55
55
4.
If th
e an
swer
is a
mix
ed n
umbe
r, ch
ange
it to
an
equi
vale
nt im
prop
er
frac
tion
or
dec
imal
.
3 A
hu
mm
ingb
ird
mea
sure
s 2 1 _
2 in
ches
in le
ngt
h. A
san
dp
iper
,
m
easu
res
4 1 _ 2 i
nch
es in
len
gth
. How
man
y ti
mes
as
lon
g is
the
sa
nd
pip
er a
s th
e h
um
min
gbir
d?
Div
ide
the
leng
th o
f the
san
dpi
per
by
the
leng
th o
f the
hum
min
gbir
d.
4 1 _ 2 ÷ 2
1 _ 2 = 9 _ 2 ÷
5 _ 2 Re
nam
e 2
1 _ 2 a
s5 _ 2
.
=
9 _ 2 · 2 _ 5
Mul
tiply
by
the
reci
proc
al
of 5 _ 2
, whi
ch is
2 _ 5.
=
9 _ 5
You
can
eith
er g
rid
the
impr
oper
frac
tion
9 _ 5 , or
rew
rite
it a
s 1.
8 an
d gr
id th
e de
cim
al.
Do
not e
nter
14/
5, a
s th
is w
ill b
e
inte
rpre
ted
as
14
_
5 .
Any
equi
vale
nt fr
actio
n th
at fi
ts th
e gr
id w
ill b
e co
unte
d as
cor
rect
.D
o no
t lea
ve
a bl
ank
answ
er b
ox
in th
e m
iddl
e of
an
answ
er.
Pre
par
ing
fo
r St
and
ard
ized
Tes
ts
72
3
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M
Preparing forStandardized Tests
00
00
01
11
11
22
22
23
33
33
44
44
45
55
55
66
66
67
77
77
88
88
89
99
99
00
00
01
11
11
22
22
23
33
33
44
44
45
55
55
66
66
67
77
77
88
88
89
99
99
960
00
00
01
11
11
22
22
23
33
33
44
44
45
55
55
66
66
67
77
77
88
88
89
99
99
960
Gri
dd
ed-r
espo
nse
ques
tion
s ar
e an
othe
r ty
pe o
f que
stio
n on
sta
ndar
diz
ed
test
s. T
hese
que
stio
ns a
re s
omet
imes
cal
led
stu
dent
-pro
duce
d re
spon
se o
r gr
id in
.
For
grid
ded
res
pons
e, y
ou m
ust m
ark
your
ans
wer
on
a gr
id p
rint
ed o
n an
ans
wer
she
et. T
he g
rid
con
tain
s a
row
of f
our
or fi
ve b
oxes
at t
he to
p,
two
row
s of
ova
ls o
r ci
rcle
s w
ith
dec
imal
and
frac
tion
sym
bols
, and
four
or
five
col
umns
of o
vals
, num
bere
d 0
–9. A
n ex
ampl
e of
a g
rid
from
an
answ
er s
heet
is s
how
n.
1 M
r. B
yrd
bu
ild
s an
d s
ells
sto
rage
bu
ild
ings
. Th
e d
imen
sion
s of
his
m
ost p
opu
lar
mod
el a
re s
how
n in
the
dia
gram
. Wh
at is
the
volu
me
of th
e b
uil
din
g in
cu
bic
fee
t?
10 ft
12 ft
8 ft
Wha
t do
you
need
to fi
nd?
You
need
to fi
nd th
e vo
lum
e of
a r
ecta
ngul
ar p
rism
. Use
the
form
ula
and
the
dim
ensi
ons
give
n in
the
dia
gram
.
V =
ℓw
h Vo
lum
e of
a r
ecta
ngul
ar p
rism
V =
12 · 1
0 · 8
Re
plac
eℓ
with
12,
w w
ith 1
0, a
nd h
with
8.
V =
960
M
ultip
ly.
The
vol
ume
is 9
60 c
ubic
feet
.
How
do
you
fill i
n th
e gr
id fo
r th
e an
swer
?
• W
rite
you
r an
swer
in th
e an
swer
bo
xes.
• W
rite
onl
y on
e d
igit
or
sym
bol i
n ea
ch a
nsw
er b
ox.
• D
o no
t wri
te a
ny d
igit
s or
sym
bols
ou
tsid
e th
e an
swer
box
es.
• Y
ou m
ay w
rite
you
r an
swer
wit
h th
e fi
rst d
igit
in th
e le
ft a
nsw
er b
ox, o
r w
ith
the
last
dig
it in
the
righ
t ans
wer
bo
x. Y
ou m
ay le
ave
blan
k an
y bo
xes
you
do
not n
eed
on
the
righ
t or
the
left
sid
e of
you
r an
swer
.
• F
ill in
onl
y on
e bu
bble
for
ever
y an
swer
box
that
you
hav
e w
ritt
en
in. B
e su
re n
ot to
fill
in a
bub
ble
und
er a
bla
nk a
nsw
er b
ox.
Grid
ded-
Resp
onse
Que
stio
ns
STRA
TEGY
Form
ulas
Use
the
refe
renc
e sh
eet t
o fin
d th
e fo
rmul
a yo
u ne
ed.
72
2
Prep
arin
g f
or
Stan
dar
diz
ed T
ests
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19P
M
649_0716_0733_EM_874048 649649_0716_0733_EM_874048 649 11/29/07 6:23:30 PM11/29/07 6:23:30 PM
Prep
arin
g fo
rSt
anda
rdiz
ed T
ests
724–725 Preparing for Standardized Tests
Preparing forStandardized Tests
12.
In th
e d
iagr
am, ∠
1 an
d ∠
2 ar
e su
pple
men
tary
. Fin
d th
e m
easu
re o
f ∠
3 in
deg
rees
. 62
26˚
12
313
5˚
32˚
105˚
13.
Rec
tang
le B
has
wid
th a
nd le
ngth
3 ti
mes
th
e w
idth
and
leng
th o
f R
ecta
ngle
A. A
s a
frac
tion
, wha
t is
the
rati
o of
the
area
of
Rec
tang
le A
to th
e ar
ea o
f R
ecta
ngle
B?
14.
In th
e U
nite
d S
tate
s, th
e av
erag
e am
ount
of
mea
t eat
en p
er p
erso
n is
261
pou
nds
per
year
. If
ther
e ar
e 36
5 d
ays
in a
yea
r,
wha
t is
the
aver
age
num
ber
of o
unce
s of
m
eat e
aten
per
day
? R
ound
to th
e ne
ares
t ou
nce.
11
Que
stio
n 14
The
units
of m
easu
re g
iven
in a
qu
estio
n m
ay n
ot b
e th
e sa
me
as th
e un
its o
f m
easu
re a
sked
for
in th
e an
swer
. Che
ck th
at
your
sol
utio
n is
in th
e co
rrec
t uni
t.
15.
A r
ecta
ngle
has
an
area
of
318
squa
re
cent
imet
ers
and
a w
idth
of 1
2 ce
ntim
eter
s.
Wha
t is
the
leng
th o
f th
e re
ctan
gle
in
cent
imet
ers?
26.
5
16.
The
cir
cle
grap
h sh
ows
the
resu
lts
of
a su
rvey
in M
s. C
hen’
s fi
fth
peri
od
mat
h cl
ass.
Wha
t is
the
exac
t deg
ree
mea
sure
of
the
sect
ion
of th
e ci
rcle
gra
ph
repr
esen
ting
soc
cer?
162
Fav
ori
te S
po
rts
of
Ms.
Ch
en’s
Stu
den
ts
Bas
eball
20%
Other
10%
Soc
cer
45%
Bas
ketball
25%
17.
One
acr
e of
land
is 4
3,56
0 sq
uare
fee
t. H
ow m
any
squa
re y
ard
s ar
e in
one
acr
e? 1/9
1/9
4840
4840
18.
The
Bro
wns
pla
n to
pai
nt th
e to
p, b
otto
m,
and
sid
es o
f th
e cy
lind
er-s
hape
d b
arre
l w
ith
a w
ater
proo
f co
atin
g. W
hat i
s th
e su
rfac
e ar
ea in
squ
are
feet
of
the
barr
el?
Rou
nd to
the
near
est s
quar
e fo
ot.
113
4 ft
7 ft
19.
The
tabl
e sh
ows
the
wor
ld’s
hig
hest
d
ams
and
the
coun
trie
s in
whi
ch th
ey a
re
loca
ted
. Fin
d th
e ra
nge
of th
e d
ata.
128
Coun
try
Heig
ht (f
t)
Tajik
istan
984
Switz
erla
nd93
5
Geor
gia
892
Italy
859
Mex
ico85
6So
urce
: Sch
olas
tic B
ook
of W
orld
Rec
ords
20.
The
tabl
e sh
ows
the
pric
es in
dol
lars
that
M
ike
spen
t on
his
colle
ge te
xtbo
oks.
Wha
t is
the
mea
n of
the
dat
a? 5
3.50
66.0
051
.25
50.0
063
.00
56.2
59.
0082
.00
50.5
0
21.
Kay
a ha
s th
e fo
llow
ing
scor
es f
or th
e fi
rst
four
test
s in
her
sci
ence
cla
ss: 8
2%, 9
5%,
100%
, and
90%
. She
wan
ts th
e m
ean
of h
er
firs
t fiv
e te
sts
to b
e 93
%. W
hat s
core
as
a pe
rcen
t mus
t she
ear
n on
the
fift
h te
st?
98
22.
In a
car
niva
l gam
e, th
e pr
obab
ility
of
win
ning
is 0
.005
. As
a pe
rcen
t, w
hat i
s th
e pr
obab
ility
of
losi
ng?
99.5
23.
A b
ever
age
cool
er c
onta
ins
6 re
gula
r co
las,
5 o
rang
e d
rink
s, 7
iced
teas
, and
7
die
t col
as. J
ames
rea
ches
into
the
cool
er
and
ran
dom
ly ta
kes
two
dri
nks,
one
af
ter
the
othe
r. F
ind
the
prob
abili
ty th
at
he w
ill c
hoos
e a
regu
lar
cola
and
then
an
oran
ge d
rink
. 1/
20 o
r 0.0
5
Pre
par
ing
fo
r St
and
ard
ized
Tes
ts
72
5
725_
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510
/2/0
712
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26P
M
Preparing forStandardized Tests
1.
The
sev
enth
-gra
de
clas
s at
Will
ow C
reek
M
idd
le S
choo
l is
plan
ning
a c
lass
trip
. E
ach
stud
ent w
ill n
eed
to p
ay $
4.50
for
the
bus
rid
e, $
8.00
for
a ti
cket
to th
e m
useu
m,
and
$5.
25 f
or lu
nch.
If
ther
e ar
e 52
stu
den
ts
in th
e cl
ass,
wha
t will
be
the
tota
l cos
t in
dol
lars
of
the
trip
? 92
3
2.
The
hig
hest
poi
nt in
Lou
isia
na is
Dri
skill
M
ount
ain
at 5
85 f
eet.
The
low
est p
oint
is
-8
feet
in N
ew O
rlea
ns. W
hat i
s th
e d
iffe
renc
e in
fee
t bet
wee
n th
e hi
ghes
t and
lo
wes
t ele
vati
on p
oint
s? 5
93
3.
Peop
le in
the
Uni
ted
Sta
tes
own
abou
t 20
4 m
illio
n ca
rs. I
f th
e nu
mbe
r of
car
s is
w
ritt
en in
sci
enti
fic
nota
tion
, wha
t is
the
expo
nent
of
the
10 in
the
expr
essi
on?
8
4.
Ash
lee
has
5 1 _ 4 cup
s of
coc
oa p
owd
er. I
f
each
bat
ch o
f ch
ocol
ate
cook
ies
uses
1 _ 2 cup
of c
ocoa
pow
der
, how
man
y ba
tche
s co
uld
sh
e m
ake?
5.
The
num
ber
of te
levi
sion
s pe
r 1,
000
peop
le
in F
ranc
e is
598
. The
num
ber
of te
levi
sion
s pe
r 1,
000
peop
le in
the
Uni
ted
Sta
tes
is 2
08
grea
ter
than
the
num
ber
in F
ranc
e. H
ow
man
y te
levi
sion
s ar
e th
ere
in th
e U
nite
d
Stat
es p
er 1
,000
peo
ple?
806
6.
The
tabl
e sh
ows
the
num
ber
of w
hite
be
ads
that
Car
men
use
s in
eac
h ro
w f
or
a pa
rtic
ular
pat
tern
in a
nec
klac
e th
at s
he
des
igne
d. H
ow m
any
whi
te b
ead
s w
ill
ther
e be
in th
e si
xth
row
? 32
Row
12
34
5
Bead
s1
24
816
2 1 _ 2 or
10.5
2 1 _ 2 or
10.5
7.
The
tabl
e sh
ows
the
cost
of
rent
ing
a bo
oth
at th
e w
eek-
long
Fal
l Fes
tiva
l. T
here
is a
n in
itia
l cha
rge
for
rese
rvin
g a
boot
h an
d a
fee
per
day
. Wha
t is
the
cost
in
dol
lars
of
rent
ing
a bo
oth
for
the
7 d
ays
of th
e fe
stiv
al?
330
Days
01
23
Cost
($)
5090
130
170
8.
The
gra
ph s
how
s th
e co
st to
ren
t a p
ower
pa
int s
pray
er. L
et x
be
the
num
ber
of
hour
s th
e sp
raye
r is
ren
ted
and
y b
e th
e to
tal c
ost o
f th
e re
ntal
. Sup
pose
an
equa
tion
of
the
form
y =
ax
repr
esen
ts th
e d
ata
in th
e gr
aph.
Wha
t is
the
valu
e of
a?
y
x
Cost ($)
20 10 015 525
12
34
56
Tim
e (h
)
30
7
Rent
ing
a Po
wer
Pai
nt S
pray
er
9.
The
tem
pera
ture
on
a Ja
nuar
y m
orni
ng
is -
18°F
. The
tem
pera
ture
is e
xpec
ted
to
rise
at a
rat
e of
5°
each
hou
r fo
r th
e ne
xt
seve
ral h
ours
. In
how
man
y ho
urs
will
th
e te
mpe
ratu
re b
e 7°
F? 5
10.
Tri
angl
e ABC
is s
imila
r to
tria
ngle
XYZ
. W
hat i
s th
e m
easu
re o
f ∠Z
in d
egre
es?
75
Z
XY
AB
C
60˚
45˚
11.
Tria
ngle
DEF
has
vert
ices
D(1
, 1), E
(4, -
2),
and F(
0, -
3). F
ind
the y-
coor
dina
te o
f po
int E
aft
er th
e tr
iang
le is
ref
lect
ed o
ver
the x-
axis
. 2
Grid
ded-
Resp
onse
Pra
ctic
eSo
lve
each
pro
ble
m. T
hen
co
py
and
co
mp
lete
a g
rid
like
th
e o
ne
sho
wn
on
pag
e 72
2. 2.5
or 2
.50
72
4
Prep
arin
g f
or
Stan
dar
diz
ed T
ests
724_
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410
/2/0
712
:54:
24P
M
650_0716_0733_EM_874048 650650_0716_0733_EM_874048 650 11/29/07 6:23:36 PM11/29/07 6:23:36 PM
Preparing forStandardized Tests
Preparing for Standardized Tests 726–727
Preparing forStandardized Tests
Shor
t-re
spon
se q
uest
ions
req
uire
you
to p
rovi
de
a so
luti
on to
the
prob
lem
as
wel
l as
any
met
hod
, exp
lana
tion
, and
/or
just
ific
atio
n yo
u us
ed to
arr
ive
at th
e so
luti
on. T
hese
are
som
etim
es c
alle
d c
onst
ruct
ed-r
espo
nse,
op
en-r
espo
nse,
ope
n-en
ded,
free
-res
pons
e, o
r st
uden
t-pr
oduc
ed q
uest
ions
.
The
fol
low
ing
is a
sam
ple
rub
ric,
or
scor
ing
guid
e.
Cre
d
Cre
dit
Sco
reC
rite
ria
Fu
ll2
Ful
l cre
dit:
The
ans
wer
is c
orr
ect
and
a f
ull e
xpla
natio
n is
p
rovi
ded
tha
t sh
ow
s ea
ch s
tep
in a
rriv
ing
at
the
final
ans
wer
.
Par
tial
1P
artia
l cre
dit:
The
re a
re t
wo
diff
eren
t w
ays
to r
ecei
ve p
artia
l cre
dit.
• T
he a
nsw
er is
co
rrec
t, b
ut t
he e
xpla
natio
n p
rovi
ded
is
inco
mp
lete
or
inco
rrec
t.•
The
ans
wer
is in
corr
ect,
but
the
exp
lana
tion
and
met
hod
o
f so
lvin
g t
he p
rob
lem
is c
orr
ect.
No
ne
0N
o c
red
it: E
ither
an
answ
er is
no
t p
rovi
ded
or
the
answ
er
do
es n
ot
mak
e se
nse.
1 H
ann
a is
dec
idin
g b
etw
een
a d
esk
top
an
d a
lap
top
that
are
on
sal
e.
Th
e d
esk
top
cos
ts $
609.
00 w
ith
a 1
0% d
isco
un
t. T
he
lap
top
cos
ts
$725
.00
wit
h a
25%
dis
cou
nt.
Th
ere
is a
lso
a 6.
75%
sal
es ta
x on
all
p
urc
has
es. W
hic
h c
omp
ute
r is
less
exp
ensi
ve?
Wh
at w
ill b
e th
e to
tal
cost
of
the
com
pu
ter
incl
ud
ing
dis
cou
nt a
nd
sal
es ta
x?
Full
Cre
dit
Sol
uti
on
Shor
t-Res
pons
e Q
uest
ions
STRA
TEGY
Rere
ad th
e Pr
oble
mLo
ok fo
r the
impo
rtant
in
form
atio
n in
the
prob
lem
.
On
som
e st
anda
rdiz
ed
test
s, n
o cr
edit
is g
iven
fo
r a
corr
ect a
nsw
er if
yo
ur w
ork
is n
ot s
how
n.
Since
ther
e ar
e tw
o co
mpu
ters
to c
ompa
re, I
will
firs
t fin
d th
e di
scou
nted
pric
e of
eac
h co
mpu
ter.
I will
cha
nge
each
per
cent
to
a d
ecim
al to
mak
e th
e ca
lcul
atio
ns.
de
skto
p
lapt
op60
9.00
× 0
.10
= 6
0.90
725.
00 ×
0.2
5 =
181
.25
609.
00 -
60.
90 =
548
.10
72
5.00
- 1
81.2
5 =
543
.75
The
lapt
op is
less
exp
ensiv
e af
ter t
he d
iscou
nt.
I stil
l nee
d to
find
the
cost
of t
he la
ptop
com
pute
r with
tax.
54
3.75
× 0
.067
5
6.75
% =
0.0
675
=
36.
7031
25
Use
a ca
lcul
ator
.
≈ 3
6.70
Now
I wi
ll ad
d th
e sa
les t
ax to
the
cost
of t
he la
ptop
.
543.
75 +
36.
70 =
580
.45
The
lapt
op w
ill c
ost H
anna
$58
0.45
, inc
ludi
ng sa
les t
ax.
The
step
calc
ulat
ioan
d re
asar
e cl
ear
stat
ed.
72
6
Prep
arin
g f
or
Stan
dar
diz
ed T
ests
726_
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672
610
/2/0
712
:54:
28P
M
Preparing forStandardized Tests
Par
tial
Cre
dit
Sol
uti
on
In th
is s
ampl
e so
luti
on, t
he c
alcu
lati
ons
are
corr
ect a
nd th
e an
swer
is
corr
ect.
How
ever
, the
re is
no
expl
anat
ion
for
any
of th
e ca
lcul
atio
ns.
609.
00 ×
0.1
0 =
60.
9060
9.00
- 6
0.90
= 5
48.1
054
8.10
× 1
.067
5 =
585
.096
75
725.
00 ×
0.2
5 =
181
.25
725.
00 -
181
.25
= 5
43.7
554
3.75
× 1
.067
5 =
580
.453
125
The
lapt
op is
che
aper
for $
580.
45.
Par
tial
Cre
dit
Sol
uti
on
In th
is s
ampl
e so
luti
on, t
he a
nsw
er is
par
tial
ly in
corr
ect b
ecau
se th
e st
uden
t doe
s no
t ad
d th
e sa
les
tax.
I will
find
the
disc
ount
pric
e fo
r eac
h se
t.D
eskt
op:
Since
the
curr
ent p
rice
is 10
0% a
nd th
e di
scou
nt is
10%
, the
sale
pric
e wi
ll be
10
0 -
10
= 9
0% o
r 0.9
.
60
9.00
× 0
.9 =
548
.10
Lapt
op:
Since
the
curr
ent p
rice
is 10
0% a
nd th
e di
scou
nt is
25%
, the
sale
pric
e wi
ll be
10
0 -
25
= 7
5% o
r 0.7
5.
72
5.00
× 0
.75
= 5
43.7
5Ha
nna
shou
ld g
et th
e la
ptop
for $
543.
75.
No
Cred
it S
olu
tion
In th
is s
ampl
e so
luti
on, t
he s
tud
ent d
oes
not u
nder
stan
d h
ow to
find
d
isco
unte
d p
rice
s an
d th
e sa
les
tax.
The
re a
re ju
st s
ome
calc
ulat
ions
us
ing
the
num
bers
in th
e pr
oble
m.
609.
00 -
10%
= 6
02.9
172
5.00
- 2
5% =
625
.00
602.
91 +
6.7
5% =
609
.66
625.
00 +
6.7
5 =
631
.75
I thi
nk H
anna
shou
ld b
uy th
e de
skto
p fo
r $60
9.66
.
Not
ice
that
the
stud
ent m
ultip
lies
the
disc
ount
ed p
rice
by 1
.067
5 si
nce
the
cost
is 1
and
the
tax
is 0
.067
5. S
o, th
e to
tal i
s th
en 1
.067
5.
The
stud
ent d
oes
not
add
the
cost
of t
he ta
x.
Pre
par
ing
fo
r St
and
ard
ized
Tes
ts
72
7
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710
/2/0
712
:54:
30P
M
651_0716_0733_EM_874048 651651_0716_0733_EM_874048 651 11/29/07 6:23:42 PM11/29/07 6:23:42 PM
Prep
arin
g fo
rSt
anda
rdiz
ed T
ests
728–729 Preparing for Standardized Tests
Preparing forStandardized Tests
Shor
t-Res
pons
e Pr
actic
eSo
lve
each
pro
ble
m. S
ho
w a
ll yo
ur
wo
rk.
1.
A m
ain
unit
of
curr
ency
in E
gypt
is th
e po
und
. One
U.S
. dol
lar
is e
qual
to 3
4 _ 5 po
und
s. H
ow m
any
poun
ds
are
equi
vale
nt
to $
10.0
0 in
the
U.S
.? 3
8 po
unds
2.
The
ave
rage
day
tim
e te
mpe
ratu
re o
n V
enus
is 8
70°F
. The
ave
rage
tem
pera
ture
on
Jup
iter
is -
160°
F. W
hat i
s th
e d
iffe
renc
e be
twee
n th
e av
erag
e te
mpe
ratu
res
on
Ven
us a
nd J
upit
er?
1,03
0°F
3.
A b
ag o
f ch
ocol
ate
cand
ies
has
a nu
trit
ion
labe
l sta
ting
that
eac
h se
rvin
g co
ntai
ns 2
0%
of th
e re
com
men
ded
dai
ly a
mou
nt o
f fa
t. A
ser
ving
has
13
gram
s of
fat
. Usi
ng th
is
info
rmat
ion,
wha
t is
the
tota
l rec
omm
ende
d
dai
ly a
mou
nt o
f fa
t in
gram
s? 6
5 g
4.
The
Mon
tana
Dep
artm
ent o
f Fis
h, W
ildlif
e,
and
Park
s ra
ised
the
pric
e of
a ta
g to
ca
tch
a pa
ddle
fish
from
$2.
50 to
$5.
00
for
resi
dent
s an
d fr
om $
7.50
to $
15.0
0 fo
r no
nres
iden
ts. W
hich
per
cent
of i
ncre
ase
is g
reat
er, t
he in
crea
se fo
r re
side
nts
or fo
r no
nres
iden
ts?
5.
A r
ecen
t art
icle
in th
e ne
wsp
aper
sai
d
that
ther
e w
ere
75 c
ell p
hone
s fo
r ev
ery
100
peop
le in
Fin
land
. The
num
ber
of
cell
phon
es in
Fin
land
was
giv
en to
be
3,89
3,00
0. E
stim
ate
the
popu
lati
on o
f Fi
nlan
d u
sing
this
info
rmat
ion.
6.
Flor
ida
has
8,42
6 m
iles
of s
hore
line.
Ala
ska
has
25,4
78 m
ore
mile
s of
sho
relin
e th
an
Flor
ida.
Wri
te a
nd s
olve
an
equa
tion
to fi
nd
the
num
ber
of m
iles
of s
hore
line
for
Ala
ska.
7.
Juan
a is
sav
ing
mon
ey to
buy
a s
kate
boar
d
that
cos
ts $
95. S
he h
as $
25 a
nd p
lans
to
save
$5
per
wee
k. I
n ho
w m
any
wee
ks
will
she
hav
e en
ough
mon
ey f
or th
e sk
ateb
oard
?14
wee
ks
They
are
the
sam
e w
ith b
oth
bein
g a
100%
incr
ease
.Th
ey a
re th
e sa
me
with
bot
h be
ing
a 10
0% in
crea
se.
abou
t 5,0
00,0
00 p
eopl
eab
out 5
,000
,000
peo
ple
a =
8,4
26 +
25,
478;
a =
33,
904
mi
a =
8,4
26 +
25,
478;
a =
33,
904
mi
8.
Tyl
er d
eliv
ers
tele
visi
ons
for
Ele
ctro
nics
D
epot
. The
gra
ph s
how
s th
e am
ount
T
yler
cha
rges
for
del
iver
y ba
sed
on
dis
tanc
e. N
ame
the
slop
e an
d y
-int
erce
pt
of th
e gr
aph
and
des
crib
e w
hat t
hey
mea
n in
this
sit
uati
on.
y
x
Total Charge ($)
8 4 0121416 6 210
1020
3040
Dist
ance
(mi)
18
50
Char
ge fo
r D
eliv
ery
9.
Solv
e 2 _ 3 b
= 8 _ 7 .
12 _ 7
10.
The
for
mul
a fo
r th
e ar
ea o
f a
trap
ezoi
d is
A =
1 _ 2 h( b 1
+ b
2 ). F
ind
the
area
of
the
tr
apez
oid
. 70
ft 2 h
= 7
ft
b 2=
14
ft
b 1=
6
ft
11.
Ang
les
MN
P a
nd P
NO
are
su
pple
men
tary
. Fin
d m
∠P
NO
. 15
5°
MN
P
O25˚
12.
Wha
t is
the
valu
e of
x?
62
128˚
114˚
56˚
x˚
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
72
8
Prep
arin
g f
or
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dar
diz
ed T
ests
728_
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672
810
/2/0
712
:54:
32P
M
Preparing forStandardized Tests
13.
Col
by is
pla
nnin
g to
use
�C
DE
for
a
des
ign
by u
sing
tran
sfor
mat
ions
. He
plan
s to
ref
lect
it o
ver
the
y-ax
is. F
ind
the
coor
din
ates
of
�C
DE
aft
er th
is r
efle
ctio
n.
Gra
ph th
e re
flec
ted
imag
e of
the
tria
ngle
.
y
xO
D
C
E(3, 4
)
(2, 1
) (4,-
2)
14.
Die
go r
an in
a 1
0-ki
lom
eter
rac
e. W
hat i
s th
e d
ista
nce
of th
is r
ace
in m
eter
s?
15.
Wha
t is
the
surf
ace
area
of
the
box?
28 in
.
16 in
.20
in.
16.
A c
erta
in a
ircr
aft u
ses
350
gallo
ns o
f fu
el
per
hour
. If
the
plan
e us
ed 1
,925
gal
lons
of
fue
l on
a fl
ight
bet
wee
n tw
o ci
ties
, how
m
any
hour
s lo
ng w
as th
e fl
ight
? 5.
5 h
17.
Cur
tis
is p
aint
ing
the
four
col
umns
for
th
e se
t of
a sc
hool
pla
y. W
hat i
s th
e su
rfac
e ar
ea th
at n
eed
s to
be
pain
ted
? A
ssum
e th
at th
e to
ps a
nd b
otto
ms
of th
e co
lum
ns d
o no
t ne
ed to
be
pain
ted
.
2 ft
10 ft
2 ft
10 ft
2 ft
10 ft
2 ft
10 ft
18.
The
rec
ord
for
wom
en r
unni
ng th
e B
osto
n M
arat
hon
was
set
in 2
002
whe
n M
arga
ret
Oka
yo o
f K
enya
ran
the
26.2
-mile
cou
rse
in a
ppro
xim
atel
y 2
hour
s an
d 2
1 m
inut
es.
Wha
t was
her
ave
rage
spe
ed in
mile
s pe
r ho
ur?
abou
t 11.
15 m
ph
See
Stud
ent
Hand
book
An
swer
Ap
pend
ix.
See
Stud
ent
Hand
book
An
swer
Ap
pend
ix.
10,0
00 m
10,0
00 m
2,65
6 in
2 2,
656
in 2
251.
3 ft
2 25
1.3
ft 2
Que
stio
ns 1
7 an
d 18
Afte
r fin
ding
the
solu
tion,
alw
ays
go b
ack
and
read
the
prob
lem
aga
in to
mak
e su
re y
our
solu
tion
answ
ers
wha
t the
pro
blem
is a
skin
g.
19.
The
ste
m-a
nd-l
eaf
plot
sho
ws
the
scor
es
on th
e la
st m
ath
test
in M
r. H
ill’s
cla
ss.
Wha
t is
the
rang
e of
the
dat
a? 3
9
Stem
Leaf
91
2 3
5 6
9
80
2 5
6 6
7 8
8
71
2 3
5 7
9 9
60
5 8
9 9
8|2
=82
poi
nts
20.
The
tabl
e sh
ows
the
heig
hts
of th
e w
orld
’s
larg
est f
light
less
bir
ds.
Mak
e a
bar
grap
h of
the
dat
a. Bi
rdHe
ight
(in.
)
Ost
rich
96
Emu
60
Cass
owar
y60
Rhea
54
Empe
ror P
engu
in45
21.
The
tabl
e sh
ows
the
aver
age
prec
ipit
atio
n in
inch
es f
or e
ach
mon
th in
Syr
acus
e,
New
Yor
k. M
ake
a sc
atte
r pl
ot o
f th
e d
ata.
Use
the
mon
ths
on th
e ho
rizo
ntal
ax
is a
nd th
e pr
ecip
itat
ion
on th
e ve
rtic
al
axis
. Des
crib
e th
e gr
aph.
Mon
thPr
ecip
itatio
n (in
.)M
onth
Prec
ipita
tion
(in.)
Jan
2.34
July
3.81
Feb
2.15
Aug
3.51
Mar
2.77
Sep
3.79
Apr
3.33
Oct
3.24
May
3.28
Nov
3.72
June
3.79
Dec
3.2
22.
Tw
o nu
mbe
r cu
bes
each
mar
ked
wit
h 1,
2,
3, 4
, 5, 6
on
thei
r fa
ces
are
rolle
d. L
ist
all t
he p
ossi
ble
outc
omes
.
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
See
Stud
ent H
andb
ook
Answ
er A
ppen
dix.
Ther
e ar
e 36
po
ssib
le o
utco
mes
: 1, 1
; 1, 2
; 1, 3
; … 6
, 6.
Ther
e ar
e 36
po
ssib
le o
utco
mes
: 1, 1
; 1, 2
; 1, 3
; … 6
, 6.
Pre
par
ing
fo
r St
and
ard
ized
Tes
ts
72
9
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M
652_0716_0733_EM_874048 652652_0716_0733_EM_874048 652 11/29/07 6:23:48 PM11/29/07 6:23:48 PM
Preparing forStandardized Tests
Preparing for Standardized Tests 730–731
Preparing forStandardized Tests
Par
t b
A c
ompl
ete
grap
h in
clud
es a
titl
e fo
r th
e gr
aph,
app
ropr
iate
sc
ales
and
labe
ls fo
r th
e ax
es, a
nd c
orre
ctly
gra
phed
poi
nts.
To m
ake
a gr
aph,
I gr
aphe
d th
e or
dere
d pa
irs fr
om m
y ta
ble
and
deci
ded
to c
onne
ct
them
with
a li
ne.
y
x
Water in Pool (gal) 100,
000
60,0
00
20,0
00 0
80,0
00
40,0
00
120,
000
48
122
610
Tim
e (h
)
Drai
ning
a P
ool
Par
t c
The
pool
is d
rain
ed w
hen
the
y-va
lue
is 0.
Tha
t is a
t 10
hou
rs. I
t will
take
10 h
ours
to d
rain
the
pool
.
Par
tial
Cre
dit
Sol
uti
on
Par
t a
Thi
s sa
mpl
e an
swer
has
an
inco
mpl
ete
tabl
e.
190
,000
280
,000
370
,000
Par
t b
Part
ial c
red
it is
giv
en b
ecau
se th
e po
ints
are
gra
phed
cor
rect
ly,
but t
he s
cale
on
the
y-ax
is ju
mps
from
0 to
70,
000
wit
h no
bre
ak.
100,
000
80,0
00
90,0
00
70,0
00
12
30
Wat
er in
the
Pool
Par
t c
I wro
te a
func
tion
rule
to fi
nd h
ow lo
ng it
will
take
to
drai
n th
e po
ol. I
let y
= 0
to fi
nd th
e nu
mbe
r of h
ours
.
y =
100
,000
- 1
0,00
0x
0 =
100
,000
- 1
0,00
0x10
,000
x =
100
,000
x =
10
It w
ill ta
ke 10
hou
rs to
dra
in th
e po
ol.
No
Cred
it S
olu
tion
If th
e st
uden
t dem
onst
rate
s no
und
erst
and
ing
of m
akin
g a
tabl
e or
gr
aph
or m
akin
g a
pred
icti
on, t
hen
no c
red
it is
giv
en.
The
stud
ent g
ives
re
ason
ing
in g
raph
ing
the
orde
red
pairs
.
Part
ial c
redi
t can
be
give
n if
part
s of
the
tabl
e an
d gr
aph
are
mis
sing
.
Full
cred
it is
giv
en
for
Part
c.
Pre
par
ing
fo
r St
and
ard
ized
Tes
ts
73
1
731_
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/2/0
712
:54:
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M
Preparing forStandardized Tests
Ext
end
ed-r
espo
nse
ques
tion
s ar
e of
ten
calle
d o
pen-
ende
d or
con
stru
cted
-re
spon
se q
uest
ions
. Mos
t ext
end
ed-r
espo
nse
ques
tion
s ha
ve m
ulti
ple
part
s.
You
mus
t ans
wer
all
part
s to
rec
eive
full
cred
it.
Ext
end
ed-r
espo
nse
ques
tion
s ar
e si
mila
r to
sho
rt-r
espo
nse
ques
tion
s in
th
at y
ou m
ust s
how
all
of y
our
wor
k in
sol
ving
the
prob
lem
and
a r
ubri
c is
use
d to
det
erm
ine
whe
ther
you
rec
eive
full,
par
tial
, or
no c
red
it. T
he
follo
win
g is
a s
ampl
e ru
bric
for
scor
ing
exte
nded
-res
pons
e qu
esti
ons.
Cre
dit
Sco
reC
rite
ria
Fu
ll4
Ful
l cre
dit:
A c
orr
ect
solu
tion
is g
iven
tha
t is
sup
po
rted
by
wel
l-d
evel
op
ed, a
ccur
ate
exp
lana
tions
.
Par
tial
3, 2
, 1P
artia
l cre
dit:
A g
ener
ally
cor
rect
sol
utio
n is
giv
en t
hat
may
con
tain
m
inor
flaw
s in
rea
soni
ng o
r co
mp
utat
ion,
or
an in
com
ple
te s
olut
ion
is g
iven
. The
mo
re c
orr
ect
the
solu
tion,
the
gre
ater
the
sco
re.
No
ne
0N
o cr
edit:
An
inco
rrec
t so
lutio
n is
giv
en in
dic
atin
g no
mat
hem
atic
al
und
erst
and
ing
of
the
conc
ept,
or
no s
olu
tion
is g
iven
.
Mak
e su
re th
at w
hen
the
prob
lem
say
s to
Sho
w y
our
wor
k, y
ou s
how
eve
ry
aspe
ct o
f you
r so
luti
on in
clud
ing
figu
res,
ske
tche
s of
gra
phin
g ca
lcul
ator
sc
reen
s, o
r th
e re
ason
ing
behi
nd c
ompu
tati
ons.
1 E
ach
fal
l, th
e co
mm
un
ity
poo
l is
dra
ined
. Th
e p
ool c
onta
ins
100,
000
gall
ons
of w
ater
. Th
e p
ool h
as tw
o d
rain
s th
at to
geth
er d
rain
the
poo
l at a
rat
e of
10,
000
gall
ons
per
hou
r.a.
Mak
e a
func
tion
tabl
e fo
r th
is s
itua
tion
. Let
x r
epre
sent
the
tim
e in
ho
urs
the
pool
dra
ins.
Let
y r
epre
sent
the
gallo
ns o
f wat
er le
ft in
th
e po
ol.
b.
Mak
e a
grap
h of
the
dat
a in
the
func
tion
tabl
e.
c. P
red
ict h
ow m
any
hour
s it
will
take
for
the
pool
to d
rain
.
Full
Cre
dit
Sol
uti
on
Par
t a
A c
ompl
ete
tabl
e in
clud
es la
bele
d c
olum
ns.
Ever
y 2
hour
s the
re w
ill b
e 20
,000
gal
lons
less
wat
er.
Hour
s (x)
Wat
er L
eft (
y)(x
, y)
280
,000
(2, 8
0,00
0)4
60,0
00(4
, 60,
000)
640
,000
(6, 4
0,00
0)8
20,0
00(8
, 20,
000)
100
(10,
0)
Exte
nded
-Res
pons
e Q
uest
ions
On
som
e st
anda
rdiz
ed
test
s, n
o cr
edit
is g
iven
fo
r a
corr
ect a
nsw
er if
yo
ur w
ork
is n
ot s
how
n.
73
0
Prep
arin
g f
or
Stan
dar
diz
ed T
ests
730_
0716
-073
3_E
M_8
7404
673
010
/2/0
712
:54:
37P
M
653_0716_0733_EM_874048 653653_0716_0733_EM_874048 653 11/29/07 6:23:54 PM11/29/07 6:23:54 PM
Prep
arin
g fo
rSt
anda
rdiz
ed T
ests
732–733 Preparing for Standardized Tests
Preparing forStandardized Tests
6.
Cit
y pl
anne
rs a
re c
onsi
der
ing
enla
rgin
g th
e ci
rcul
ar m
anho
les
in th
eir
stre
ets.
C
urre
ntly
, the
dia
met
er o
f a
man
hole
cov
er
is 2
4 in
ches
. The
new
siz
e be
ing
cons
ider
ed
is 2
inch
es g
reat
er a
ll th
e w
ay a
roun
d.
24 in
.2
in.
2 in
.
a. F
ind
the
area
of
a cu
rren
t man
hole
co
ver
wit
h d
iam
eter
of
24 in
ches
. R
ound
to th
e ne
ares
t squ
are
inch
.
b. F
ind
the
area
of
a ne
w m
anho
le c
over
. R
ound
to th
e ne
ares
t squ
are
inch
.
c. W
hat w
ould
be
the
perc
ent i
ncre
ase
in
the
area
of
a m
anho
le c
over
if th
e ne
w
cove
rs a
re m
ade?
Que
stio
n 6
Be
sure
to c
ompl
etel
y an
d ca
refu
lly r
ead
the
prob
lem
bef
ore
begi
nnin
g an
y ca
lcul
atio
ns. I
f you
rea
d to
o qu
ickl
y, y
ou
may
mis
s a
key
piec
e of
info
rmat
ion.
7.
A c
ompa
ny th
at s
ells
bea
ds
for
craf
t pr
ojec
ts h
as th
e tw
o co
ntai
ners
sho
wn
for
pack
agin
g th
e be
ads.
2.5
in.
4 in
.
2 in
. 5 in
.
AB
a. F
ind
the
volu
me
of e
ach
cont
aine
r.
Rou
nd to
the
near
est t
enth
of a
cub
ic in
ch.
b. F
ind
the
rati
o of
the
volu
me
of c
onta
iner
A
to th
e vo
lum
e of
con
tain
er B
.
c. T
he c
ompa
ny w
ants
to m
ake
a co
ntai
ner
shap
ed a
s a
rect
angu
lar
pris
m. F
ind
a
poss
ible
leng
th, w
idth
, and
hei
ght f
or
the
cont
aine
r su
ch th
at it
s vo
lum
e is
tw
ice
the
volu
me
of c
onta
iner
B.
a–c.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.a–
c. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
a–c.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.a–
c. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
8.
The
tabl
e sh
ows
the
norm
al m
onth
ly
tem
pera
ture
s in
deg
rees
Fah
renh
eit f
or
Hon
olul
u, H
awai
i, an
d M
inne
apol
is,
Min
neso
ta.
Mon
thHo
nolu
luM
inne
apol
is
Jan
7313
Feb
7320
Mar
7432
Apr
7647
May
7759
Jun
8068
Jul
8173
Aug
8271
Sep
8261
Oct
8049
Nov
7833
Dec
7519
Sour
ce: T
he W
orld
Alm
anac
a. M
ake
a sc
atte
r pl
ot o
f th
e d
ata
for
Hon
olul
u. P
lace
the
mon
ths
on th
e x-
axis
and
the
tem
pera
ture
s on
the
y-ax
is. D
escr
ibe
the
grap
h.
b. M
ake
a sc
atte
r pl
ot o
f th
e d
ata
for
Min
neap
olis
. Pla
ce th
e m
onth
s on
the
x-ax
is a
nd th
e te
mpe
ratu
res
on th
e y-
axis
. Des
crib
e th
e gr
aph.
c. C
ompa
re th
e ra
nge
for
each
cit
y’s
tem
pera
ture
dat
a. E
xpla
in a
pos
sibl
e re
ason
for
the
dif
fere
nce
in th
e d
ata.
9.
Two
4-si
ded
num
ber
cube
s ar
e ro
lled
for
a ga
me,
one
whi
te a
nd o
ne b
lack
. Eac
h nu
mbe
r cu
be h
as fa
ces
num
bere
d 1
thro
ugh
4.
12
3
4
12
3
4
a. L
ist t
he s
ampl
e sp
ace
for
rolli
ng th
e tw
o nu
mbe
r pi
eces
.
b. W
hat i
s th
e th
eore
tica
l pro
babi
lity
that
a
play
er w
ill r
oll a
sum
of
8?
c. I
f yo
u pl
ayed
this
gam
e 50
tim
es, h
ow
man
y ti
mes
wou
ld y
ou e
xpec
t to
get a
su
m o
f 4?
a–c.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.a–
c. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
a–c.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
Pre
par
ing
fo
r St
and
ard
ized
Tes
ts
73
3
733_
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3_E
M_8
7404
673
310
/2/0
712
:54:
43P
M
Preparing forStandardized Tests
Exte
nded
-Res
pons
e Pr
actic
eSo
lve
each
pro
ble
m. S
ho
w a
ll yo
ur
wo
rk.
1.
The
tabl
e sh
ows
the
land
are
a an
d w
ater
ar
ea o
f fi
ve s
tate
s.
Land
and
Wat
er A
rea
of F
ive
Stat
es
Stat
eLa
nd A
rea
( mi2 )
Wat
er A
rea
( mi 2 )
Flor
ida
53,9
3759
91
Colo
rado
103,
729
371
Alas
ka57
0,37
444
,856
Iow
a55
,875
401
Rhod
e Isl
and
1,04
518
6
a. F
ind
the
perc
ent o
f ea
ch s
tate
that
is
wat
er. T
he e
ntir
e st
ate
area
is th
e su
m
of th
e la
nd a
nd w
ater
are
as.
b. O
rder
the
stat
es f
rom
the
stat
e w
ith
the
leas
t per
cent
wat
er to
the
grea
test
pe
rcen
t wat
er.
c. S
uppo
se a
sta
te h
ad la
nd a
nd w
ater
ar
eas
such
that
the
wat
er a
rea
was
20%
of
the
tota
l are
a. G
ive
a po
ssib
le la
nd a
nd
wat
er a
rea,
wit
h la
nd a
rea
grea
ter
than
1,
000
squa
re m
iles,
suc
h th
at th
is is
true
.
2.
The
tabl
e sh
ows
the
rent
al r
ates
for
a c
rane
re
ntal
ser
vice
. The
re is
an
init
ial f
ee to
re
serv
e th
e cr
ane
and
a d
aily
fee
.
Days
Cost
Days
Cost
0$1
004
$280
1$1
455
$325
2$1
906
$370
3$2
35
a. G
raph
the
dat
a. L
et x=
num
ber
of d
ays
and
y=
cos
t. C
onne
ct th
e po
ints
.
b. W
hat i
s th
e sl
ope
of th
e lin
e? W
hat d
oes
the
slop
e re
pres
ent?
c. W
hat w
ould
be
the
char
ge f
or r
enti
ng
the
cran
e fo
r 10
day
s?
a–c.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.a–
c. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
a–c.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.a–
c. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
3.
A lo
ng-d
ista
nce
phon
e co
mpa
ny c
harg
es
40¢
per
call
plus
4¢
per
min
ute.
a. W
rite
and
sol
ve a
n eq
uati
on to
fin
d th
e nu
mbe
r of
min
utes
use
d f
or a
cal
l tha
t co
sts
$2.8
0.
b. A
noth
er lo
ng-d
ista
nce
com
pany
cha
rges
6¢
per
min
ute
and
no
conn
ecti
on f
ee.
Wha
t is
the
cost
of
a 60
-min
ute
call?
c. W
hich
ser
vice
wou
ld c
harg
e le
ss f
or a
90
-min
ute
call?
4.
Ava
and
Bry
n ar
e m
akin
g re
ctan
gula
r fl
eece
bla
nket
s. A
va is
mak
ing
her
blan
ket
40 in
ches
by
60 in
ches
. Bry
n sa
ys s
he
wan
ts to
mak
e he
r bl
anke
t “tw
ice
as b
ig.”
a. W
hat i
s th
e ar
ea o
f A
va’s
bla
nket
?
b. B
ryn
mak
es h
er b
lank
et s
uch
that
bot
h th
e le
ngth
and
wid
th a
re e
ach
twic
e th
e le
ngth
and
wid
th o
f A
va’s
bla
nket
. W
hat w
ill b
e th
e ar
ea o
f B
ryn’
s bl
anke
t?
c. W
hat i
s th
e ra
tio
of th
e ar
ea o
f B
ryn’
s bl
anke
t in
Part
b to
the
area
of
Ava
’s
blan
ket i
n Pa
rt a
?
d. A
va te
lls B
ryn
that
a b
lank
et is
“tw
ice
as b
ig”
if th
e ar
ea is
twic
e th
e ar
ea o
f th
e ot
her.
Giv
e a
poss
ible
leng
th a
nd
wid
th f
or a
bla
nket
twic
e as
big
as
Ava
’s u
sing
this
idea
of
“tw
ice
as b
ig.”
5.
The
map
sho
ws
five
tow
ns a
nd th
e an
gle
mea
sure
s fo
r ro
ads
conn
ecti
ng th
em.
50˚
70˚
2
3
65˚
90˚
1
Two
Dot
Four
But
les
Fort
Bent
on
Lim
aW
indh
am
a. F
ind
the
mea
sure
of ∠
1. E
xpla
in.
b. F
ind
the
mea
sure
s of
∠2
and
∠3.
E
xpla
in.
a–c.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.a–
c. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
a–d.
See
Stu
dent
Han
dboo
k An
swer
App
endi
x.a–
d. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
73
2
Prep
arin
g f
or
Stan
dar
diz
ed T
ests
732_
0716
-073
3_E
M_8
7404
673
210
/2/0
712
:54:
41P
M
654_0716_0733_EM_874048 654654_0716_0733_EM_874048 654 11/29/07 6:23:59 PM11/29/07 6:23:59 PM
Concepts and Skills Bank
Concepts and Skills Bank 734–735
Concepts and Skills Bank
Est
imat
ing
with
Dec
imal
sE
stim
atio
n c
an b
e us
ed to
pro
vid
e qu
ick
answ
ers
whe
n an
exa
ct a
nsw
er is
not
ne
cess
ary.
It is
als
o an
exc
elle
nt w
ay to
che
ck w
heth
er y
our
answ
er is
rea
sona
ble.
O
ne m
etho
d o
f est
imat
ing
is to
use
rou
ndin
g. R
ound
num
bers
to a
ny p
lace
val
ue
that
mak
es e
stim
atio
n ea
sier
.
Esti
mat
e by
Rou
ndin
gE
stim
ate
by
rou
nd
ing.
1 2
3.48
5 -
9.7
57
23.
485
23
Ro
und
to th
e ne
ares
tw
hole
num
bers
.__
____
_ -
9.7
57
__
___
- 1
0
13
The
dif
fere
nce
is a
bout
13.
2 6
.43 +
2.1
7 +
9.1
+ 4
.87
6.
43
6
2.
17
2
Roun
d to
the
near
est
who
le n
umbe
rs.
9.
1
9
___
___
+ 4
.87
_
___
+ 5
22
Th
e su
m is
abo
ut 2
2.
Ano
ther
way
to e
stim
ate
sum
s is
to u
se c
lust
erin
g. T
his
stra
tegy
is u
sed
whe
n al
l the
num
bers
are
clo
se to
a c
omm
on v
alue
.
Esti
mat
e by
Clu
ster
ing
3 E
stim
ate
9.77
5 +
9.8
62 +
9.4
75 +
9.7
24 b
y cl
ust
erin
g.
All
of th
e nu
mbe
rs a
re c
lust
ered
aro
und
10.
The
re a
re fo
ur n
umbe
rs.
So, t
he s
um is
abo
ut 4
× 1
0 or
40.
Exer
cise
sE
stim
ate
by
rou
nd
ing.
1–1
5. S
ampl
e an
swer
s ar
e gi
ven.
1.
8.5
6 +
5.3
4 9 +
5 =
14
2. 3
4.84
- 1
7.69
3.
6.8
+ 2
.4 7
+ 2
= 9
4.
40.
79 -
6.8
41 -
7 =
34
5. 6
.9 +
5.2
7 +
5 =
12
6. 2
3.84
+ 1
2.13
7.
34.
3 -
18.
9 34
- 1
9 =
15
8. 7
.5 +
8.4
8 +
8 =
16
9. 6
5.48
- 9
.3
10.
26.
3 +
9.7
26 +
10 =
36
11.
33.2
1 -
8.2
3 33
- 8
= 2
5 12
. 67
.86
- 2
4.35
13.
8.9
9 -
2.6
9 -
3 =
6
14.
121.
5 +
487
.8
15.
32.5
+ 8
1.4
Est
imat
e b
y cl
ust
erin
g. 1
6–23
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
16.
18.
4 +
22.
5 +
20.
7 17
. 56
.9 +
63.
2 +
59.
3 +
61.
1
18.
42.
3 +
41.
5 +
39.
8 +
40.
4 19
. 77
.8 +
75.
6 +
81.
2 +
79.
9
20.
239
.8 +
242
.43
+ 2
36.2
0 +
240
.77
21.
9.9
+ 1
0.0
+ 1
0.3
+ 1
1.1
+ 9
.8 +
11.
2
22.
50.
4 +
51.
1 +
48.
9 +
49.
5 +
50.
8 23
. 10
0.5
+ 9
7.8
+ 1
01.6
+ 1
00.2
+ 9
9.3
2. 3
5 -
18 =
17
2. 3
5 -
18 =
17
24 +
12 =
36
24 +
12 =
36
65 -
9 =
56
65 -
9 =
56
68 -
24 =
44
68 -
24 =
44
14. 1
22 +
488
= 6
1014
. 122
+ 4
88 =
610
33 +
81 =
114
33 +
81 =
114
Co
nce
pts
an
d S
kills
Ban
k 7
35
735_
0734
_075
0_E
M_8
7404
673
511
/30/
0712
:15:
57P
M
Concepts and Skills Bank
Conc
epts
and
Ski
lls B
ank
Div
isib
ility
Pat
tern
sIn
54
÷ 6
= 9
, the
quo
tien
t, 9,
is a
who
le n
umbe
r. So
, we
say
that
54
is
div
isib
le b
y 6.
You
can
use
the
follo
win
g ru
les
to d
eter
min
e w
heth
er a
nu
mbe
r is
by
2, 3
, 4, 5
, 6, 9
, and
10.
A n
umbe
r is
div
isib
le b
y:
• 2
if th
e on
es d
igit
is d
ivis
ible
by
2.•
3 if
the
sum
of t
he d
igit
s is
div
isib
le b
y 3.
• 4
if th
e nu
mbe
r fo
rmed
by
the
last
two
dig
its
is d
ivis
ible
by
4.•
5 if
the
ones
dig
it is
0 o
r 5.
• 6
if th
e nu
mbe
r is
div
isib
le b
y bo
th 2
and
3.
• 9
if th
e su
m o
f the
dig
its
is d
ivis
ible
by
9.•
10
if th
e on
es d
igit
is 0
.
Use
Div
isib
ility
Rul
es
Det
erm
ine
wh
eth
er 9
72 is
div
isib
le b
y 2,
3, 4
, 5, 6
, 9, o
r 10
.
2:
Yes
; the
one
s d
igit
, 2, i
s d
ivis
ible
by
2.
3: Y
es; t
he s
um o
f the
dig
its,
9 +
7 +
2 =
18,
is d
ivis
ible
by
3.
4: Y
es; t
he n
umbe
r fo
rmed
by
the
last
two
dig
its,
72,
is d
ivis
ible
by
4.
5: N
o; th
e on
es d
igit
is n
ot 0
or
5.
6: Y
es; t
he n
umbe
r is
div
isib
le b
y 2
and
3.
9:
Yes
; the
sum
of t
he d
igit
s, 1
8, is
div
isib
le b
y 9.
10
: N
o; th
e on
es d
igit
is n
ot 0
.
Exer
cise
sU
se d
ivis
ibil
ity
rule
s to
det
erm
ine
wh
eth
er th
e fi
rst n
um
ber
is
div
isib
le b
y th
e se
con
d n
um
ber
.
1.
447
; 3 y
es
2. 1
35; 6
no
3. 2
40; 4
yes
4.
419
; 3 n
o 5.
831
; 3 y
es
6. 4
,408
; 4 y
es
7.
7,1
10; 5
yes
8.
1,2
87; 9
yes
9.
2,9
84; 9
no
10.
7,0
26; 6
yes
11
. 1,
260;
10
yes
12.
8,90
3; 6
no
Det
erm
ine
wh
eth
er e
ach
nu
mb
er is
div
isib
le b
y 2,
3, 4
, 5, 6
, 9, o
r 10
.
13.
712
2, 4
14
. 1,
035
3, 5
, 9
15.
8,90
1 3,
9
16.
462
2, 3
, 6
17.
270
2, 3
, 5, 6
, 9, 1
0 18
. 1,
005
3, 5
19.
32,
221
none
20
. 8,
340
2, 3
, 4, 5
, 6, 1
0 21
. 92
0 2,
4, 5
, 10
22.
50,
319
3, 9
23
. 64
,042
2
24.
3,49
8 2,
3, 6
25.
MEA
SURE
MEN
T Jo
rdan
has
5,2
80 fe
et o
f rop
e. C
an h
e cu
t the
rop
e in
to 9
-foo
t pie
ces
and
use
all
of th
e ro
pe?
Exp
lain
. No
; 5,2
80 is
not
div
isib
le b
y 9.
73
4
Co
nce
pts
an
d S
kills
Ban
k
734_
0734
_075
0_E
M_8
7404
673
411
/30/
0712
:15:
54P
M
655_0734_0750_EM_874048 Sec2:655655_0734_0750_EM_874048 Sec2:655 11/30/07 12:25:30 PM11/30/07 12:25:30 PM
Conc
epts
and
Ski
lls B
ank
736–737 Concepts and Skills Bank
Concepts and Skills Bank
Deci
mal
Pow
er o
f 10
Prod
uct
19.7
× 1
0 1 (or 1
0)=
197
19.7
× 1
0 2 (or 1
00)
= 1
,970
19.7
× 1
0 3 (or 1
,000
)=
19,
700
19.7
× 1
0 4 (or 1
0,00
0)=
197
,000
Deci
mal
Pow
er o
f 10
Prod
uct
19.7
× 0
.1(or
1 _ 10
1)=
1.9
7
19.7
× 0
.01
(or
1 _ 10 2)
= 0
.197
19.7
× 0
.001
(or
1 _ 10 3)
= 0
.019
7
Pow
ers
of T
enYo
u ca
n us
e a
patt
ern
to m
enta
lly fi
nd th
e pr
oduc
t of
any
num
ber
and
a p
ower
of 1
0 th
at is
gre
ater
than
1.
Cou
nt th
e nu
mbe
r of
zer
os in
the
pow
er o
f 10
or
use
the
expo
nent
. The
n m
ove
the
dec
imal
poi
nt th
at
num
ber
of p
lace
s to
the
righ
t.
Use
Men
tal M
ath
to M
ulti
ply
Mu
ltip
ly m
enta
lly.
1 1
2.56
2 ×
100
12.5
62 ×
100
= 1
2.56
2 M
ove
the
deci
mal
poi
nt tw
o pl
aces
to th
e rig
ht, s
ince
100
has
two
zero
s.
= 1
,256
.2
2 0
.59
× 1
0 4
0.59
× 1
0 4 = 0
.590
0 M
ove
the
deci
mal
poi
nt fo
ur p
lace
sto
the
right
, sin
ce th
e ex
pone
nt is
4.
=
5,9
00
To m
enta
lly m
ulti
ply
by a
pow
er o
f ten
that
is le
ss
than
1, c
ount
the
num
ber
of d
ecim
al p
lace
s. O
r, if
th
e po
wer
is w
ritt
en a
s a
frac
tion
, use
the
expo
nent
in
the
den
omin
ator
. The
n m
ove
the
dec
imal
poi
nt
that
num
ber
of p
lace
s to
the
left
.
Use
Men
tal M
ath
to M
ulti
ply
Mu
ltip
ly m
enta
lly.
3 1
0.5
× 0
.01
10.5
× 0
.01
= 1
0.5
M
ove
the
deci
mal
poi
nt
two
plac
es to
the
left.
= 0
.105
4 5
,284
× 0
.000
01
5,28
4 ×
0.0
0001
= 0
5284
M
ove
the
deci
mal
poi
nt
five
plac
es to
the
left.
= 0
.052
84
Exer
cise
sM
ult
iply
men
tall
y.
1.
12.
53 ×
10 125.3
2. 4
.6 ×
10 3 4
,600
3.
78.
4 ×
0.0
1 0.784
4.
0.0
5 ×
100
5
5. 4
.527
× 1
00 452.7
6.
2.7
8 ×
1,0
00 2,780
7.
13.
58 ×
0.0
1 0.1358
8.
5.4
9 ×
10 3 5
,490
9.
0.1
× 0
.8 0.08
10.
0.9
25 ×
10 9.25
11
. 99
.44
× 1
0 2 9,944
12
. 0.
01 ×
16 0.16
13.
1.3
2 ×
10 3 1
,320
14
. 0.
56 ×
10,
000 5,600
15.
1.4
× 0
.001
0.0014
16.
11.
23 ×
10 5 1
,123,000
17
. 68
.94
× 0
.01 0.6894
18
. 0.
8 ×
10 4 8
,000
19.
28.
1 ×
0.0
1 0.281
20.
9.3
× 1
0 7 93,000,000
21.
625,
799
× 0
.000
1 62.5799
Co
nce
pts
an
d S
kills
Ban
k 7
37
737_
0734
_075
0_E
M_8
7404
673
711
/30/
0712
:16:
05P
M
Concepts and Skills Bank
Mul
tiply
ing
Deci
mal
sTo
mul
tipl
y d
ecim
als,
mul
tipl
y as
wit
h w
hole
num
bers
. The
pro
duc
t has
th
e sa
me
num
ber
of d
ecim
al p
lace
s as
the
sum
of t
he d
ecim
al p
lace
s of
the
fact
ors.
Use
est
imat
ion
to d
eter
min
e w
heth
er y
our
answ
ers
are
reas
onab
le.
Mul
tipl
y D
ecim
als
Mu
ltip
ly.
1 1
.3 ×
0.9
Esti
mat
e 1
× 1
= 1
1.
3
1 d
ecim
al p
lace
____
_ ×
0.9
1 d
ecim
al p
lace
1.1
7
2 d
ecim
al p
lace
s
The
prod
uct i
s re
ason
able
.
2 0
.054
× 1
.6Es
tim
ate
0 ×
2 =
0
0.
054
3
dec
imal
pla
ces
__
___
× 1
.6
1
dec
imal
pla
ce
324
___
___
54
0 0
.086
4 A
nnex
a z
ero
on th
e le
ft s
o th
e an
swer
has
fo
ur d
ecim
al p
lace
s. C
ompa
re to
the
estim
ate.
Exer
cise
sP
lace
the
dec
imal
poi
nt i
n e
ach
pro
du
ct. A
dd
zer
os if
nec
essa
ry.
1.
1.3
2 ×
4 =
528
5.28
2. 0
.07
× 1
.1 =
77 0.077
3. 0
.4 ×
0.7
= 2
8 0.28
4.
1.9
× 0
.6 =
114
1.14
5. 1
.4 ×
0.0
9 =
126
0.126
6.
5.4
8 ×
3.6
= 1
9728
7.
4.5
× 0
.34
= 1
53 1.53
8. 0
.45
× 0
.02
= 9
0.009
9.
150
.2 ×
32.
75 =
491
9050
Mu
ltip
ly.
10.
0.
2 11
.
0.3
12.
0.
45
13.
0.00
23
14.
1.
5
___
_ ×
6
__
___
× 0
.9
___
___
× 0
.12
__
___
× 3
2 _
____
× 2
.7
15.
10.
1 16
.
2 17
. 6
.78
18.
2
00
19.
0.00
23
__
__
× 9
____
_ ×
0.3
_
____
× 1
.3
___
____
× 0
.004
_
____
_ ×
0.3
5
20.
15.
8 ×
11 173.8
21.
88 ×
2.5
220
22
. 33
× 0
.03 0.99
23.
36
× 0
.46 16.56
24.
0.00
3 ×
482
1.446
25
. 1.
88 ×
1.1
1 2.0868
26.
0.6
× 2
1.2
27
. 38
.3 ×
29.
1 1,114.53
28
. 0.
7 ×
18 12.6
29.
8 ×
0.3
2.4
30
. 12
.2 ×
12.
4 151.28
31
. 38
0 ×
1.2
5 475
32.
42
× 0
.17 7.14
33
. 0.
4 ×
16 6.4
34.
0.23
× 0
.2 0.046
35.
0.4
4 ×
0.5
0.22
36.
0.44
× 5
5 24.2
37
. 44
× 0
.55 24.2
38.
JO
BS A
nton
ia e
arns
$10
.75
per
hour
. Wha
t are
her
tota
l wee
kly
earn
ings
if
she
wor
ks 3
4.5
hour
s? R
ound
to th
e ne
ares
t cen
t. $370.88
19.728
19.728
4,919.050
4,919.050
1.2
1.2
0.27
0.27
0.054
0.054
0.0736
0.0736
4.05
4.05
90.9
90.9
0.6
0.6
8.814
8.814
0.8
0.8
0.000805
0.000805
73
6
Co
nce
pts
an
d S
kills
Ban
k
736_
0734
_075
0_E
M_8
7404
673
611
/30/
0712
:16:
02P
M
656_0734_0750_EM_874048 Sec2:656656_0734_0750_EM_874048 Sec2:656 11/30/07 12:25:35 PM11/30/07 12:25:35 PM
Concepts and Skills Bank
Concepts and Skills Bank 738–739
Concepts and Skills Bank
Con
vert
ing
Curr
enci
esC
ount
ries
aro
und
the
wor
ld u
se d
iffe
rent
type
s of
cur
renc
y. B
y us
ing
an e
xcha
nge
rate
tabl
e, p
ropo
rtio
ns, a
nd a
cal
cula
tor,
you
can
conv
ert f
rom
one
type
of c
urre
ncy
to a
noth
er.
Exa
min
e th
e fo
llow
ing
exch
ange
rat
e ta
ble.
All
valu
es in
the
sam
e co
lum
n ar
e eq
uiva
lent
to e
ach
othe
r.
Exa
min
e th
e fo
llow
ing
exch
ange
rat
e ta
ble.
All
valu
es in
the
sam
e co
lum
n ar
e eq
uiva
lent
to e
ach
othe
r.
Echa
nge
Rate
s
Unite
d St
ates
Dol
lars
12.
0205
900.
9999
501.
4074
650.
8646
99
Briti
sh P
ound
s0.
4949
051
0.49
4880
0.69
6562
0.42
7944
Cana
dian
Dol
lars
1.00
0050
2.02
0691
11.
4075
360.
8647
42
Euro
s0.
7104
971.
4356
230.
7104
611
0.61
4366
Aust
ralia
n Do
llars
1.15
6472
2.33
6756
1.15
6414
1.62
7694
1
*Exc
hang
e ra
tes
as o
f Sep
tem
ber
21, 2
007
You
can
use
prop
orti
ons
to c
onve
rt a
ny a
mou
nt o
f mon
ey fr
om o
ne c
urre
ncy
to a
noth
er.
Juli
an h
as 1
6 U
nit
ed S
tate
s d
olla
rs to
exc
han
ge f
or E
uro
s. H
ow m
any
Eu
ros
wil
l he
rece
ive?
U.S
. dol
lar
1
__
0.71
0497
= 16
_
x
Set u
p a
prop
ortio
n.eu
ros
1(
x) =
16(
0.71
0497
) C
ross
mul
tiply
.
x =
11.
3679
52
Sim
plify
.
He
will
rec
eive
abo
ut 1
1.37
eur
os in
exc
hang
e fo
r 16
Uni
ted
Sta
tes
dol
lars
.
Exer
cise
sFi
ll in
the
bla
nk
s b
y co
nve
rtin
g ea
ch c
urr
ency
. Rou
nd
to th
e n
eare
st
hu
nd
red
th.
1.
26.
41 C
anad
ian
dol
lars
=
eur
os
2.
46.
82 B
riti
sh p
ound
s =
U
nite
d S
tate
s d
olla
rs
3.
4.7
Aus
tral
ian
dol
lars
=
eur
os
4.
285
.31
Uni
ted
Sta
tes
dol
lars
=
Bri
tish
pou
nds
5.
567
.31
Can
adia
n d
olla
rs =
A
ustr
alia
n d
olla
rs
6.
91.
67 e
uros
=
Can
adia
n d
olla
rs
7.
6 A
ustr
alia
n d
olla
rs =
B
riti
sh p
ound
s
8.
37.
24 e
uros
=
Uni
ted
Sta
tes
dol
lars
9.
64.
28 B
riti
sh p
ound
s =
C
anad
ian
dol
lars
10.
74.
28 U
nite
d S
tate
s d
olla
rs =
A
ustr
alia
n d
olla
rs
18.7
6
94.6
0
2.89
141.
20
656.
05
129.
03
2.57
52.4
1
129.
89
85.9
0
Co
nce
pts
an
d S
kills
Ban
k 7
39
739_
0734
_075
0_E
M_8
7404
673
911
/30/
0712
:16:
13P
M
Concepts and Skills Bank
Div
idin
g De
cim
als
To d
ivid
e tw
o d
ecim
als,
use
the
follo
win
g st
eps.
• I
f nec
essa
ry, c
hang
e th
e d
ivis
or to
a w
hole
num
ber
by m
ovin
g th
e d
ecim
al
poin
t to
the
righ
t. Yo
u ar
e m
ultip
lyin
g th
e di
viso
r by
a p
ower
of t
en.
• M
ove
the
dec
imal
poi
nt in
the
div
iden
d th
e sa
me
num
ber
of p
lace
s to
the
righ
t. Yo
u ar
e m
ultip
lyin
g th
e di
vide
nd b
y th
e sa
me
pow
er o
f ten
.
• D
ivid
e as
wit
h w
hole
num
bers
.
Div
ide
Dec
imal
sD
ivid
e.
1 2
5.8
÷ 2
Es
tim
ate
26 ÷
2 =
13
12
.92 �
������������
�������
25.8
Th
e di
viso
r, 2,
is a
lread
y a
who
le n
umbe
r, so
you
do
not n
eed
to m
ove
the
deci
mal
poi
nt. D
ivid
e as
with
w
hole
num
bers
. The
n pl
ace
the
deci
mal
dire
ctly
ab
ove
the
deci
mal
poi
nt in
the
divi
dend
.
____
- 2
5 _
___
- 4
18
____
_ -
18
0
Com
pare
d to
the
estim
ate,
the
quot
ient
, 12.
9, is
rea
sona
ble.
2 1
99.6
8 ÷
9.6
Es
tim
ate
200
÷ 1
0 =
20
20
.8
9.
6 � �����
����������
����������
�� 19
9.68
____
__-
192
M
ove
each
dec
imal
poi
nt o
ne p
lace
to th
e rig
ht.
7
68
____
__-
7 6
8
0 C
ompa
re th
e an
swer
to th
e es
timat
e.
Exer
cise
sD
ivid
e.
1.
0.3
� ����������
���������
9.81
32.
7 2.
12 �
������������
�������
0.12
0.0
1 3.
3.2
� ����������
���������
5.76
1.8
4.
0.2
2 � �����
����������
����������
� 0.
0132
0.0
6 5.
0.0
4 � �����
����������
��������
0.00
8
6.
3.1
8 � �����
����������
��������
0.63
6 0.
2 7.
0.2
� ����������
���������
8.24
41.
2 8.
82.
3 � ������
�����������
823
10
9. 1
2.02
� ���������
����������
���� 24
.04
2 10
. 0.
5 � �����
�������
85
11.
74.
9 � ������
������������
���� 5.
992
12.
19.2
� �����������
�����������
4.41
6 13
. 1.
9 � �����
����������
��������
38.5
7 14
. 13
.8 � ����
����������
���������
131.
1 9.
5 15
. 6.
48 � ����
����������
���������
259.
2
16.
812
÷ 0
.4 2
,030
17.
0.3
4 ÷
0.2
1.7
18
. 14
.4 ÷
0.1
2 12
0 19
. 90
.175
÷ 2
.5
20.
39.9
5 ÷
799
0.0
5 21.
88.
8 ÷
444
0.2
22
. 61
3.8
÷ 6
6 9.
3 23
. 2,
445.
3 ÷
33
24.
20.2
4 ÷
2.3
8.8
25
. 45
÷ 0
.09
500
26.
2.47
5 ÷
0.0
3 82
.5
27.
4.68
48 ÷
0.3
66
28.
180
÷ 0
.36
500
29.
97.8
12 ÷
1.1
88.
92 3
0. 2
3 ÷
0.0
23 1
,000
31
. 1,
680.
042
÷ 4
4.2
32.
OLY
MPI
CS I
n th
e 20
00 O
lym
pics
, Mic
hael
John
son
of th
e U
.S. r
an th
e40
0-m
eter
run
in 4
3.84
sec
ond
s. T
o th
e ne
ares
t hun
dre
dth
, fin
d h
is s
peed
in m
eter
s pe
r se
cond
. 9.
12 m
/s
33.
SCI
ENCE
It t
akes
Plu
to 2
47.6
9 E
arth
yea
rs to
rev
olve
onc
e ar
ound
th
e Su
n. It
take
s Ju
pite
r 11
.86
Ear
th y
ears
to r
evol
ve o
nce
arou
nd th
e Su
n.
Abo
ut h
ow m
any
tim
es lo
nger
doe
s it
take
Plu
to th
an Ju
pite
r to
rev
olve
on
ce a
roun
d th
e Su
n? a
bout
21
times
0.2
0.2
170
170
0.08
0.08
0.23
0.23
20.3
20.3
4040
36.0
736
.07
74.1
74.1 12
.812
.8 38.0
138
.01
73
8
Co
nce
pts
an
d S
kills
Ban
k
738_
0734
_075
0_E
M_8
7404
673
811
/30/
0712
:16:
09P
M
657_0734_0750_EM_874048 Sec2:657657_0734_0750_EM_874048 Sec2:657 11/30/07 12:25:41 PM11/30/07 12:25:41 PM
Conc
epts
and
Ski
lls B
ank
740–741 Concepts and Skills Bank
Concepts and Skills Bank
Gra
ph a
n In
equa
lity
3G
rap
h p
≤ 4
.
Dra
w a
num
ber
line
and
labe
l the
inte
gers
. Dra
w a
cir
cle
at 4
. The
cir
cle
on th
e gr
aph
show
s th
at th
e nu
mbe
rs u
p to
4 b
ut n
ot in
clud
ing
4 ar
e in
clud
ed in
the
solu
tion
.
45
32
1
4
0-
5-4-
3-
2-1
Whe
n≥
or ≤
is u
sed,
the
circ
le o
n th
e gr
aph
is fi
lled
in to
sho
w th
at th
e nu
mbe
r is
incl
uded
in th
e so
lutio
n.
Test
num
bers
on
eith
er s
ide
of 4
to
det
erm
ine
the
dir
ecti
on o
f the
gra
ph.
Dra
w a
n ar
row
poi
ntin
g in
the
dir
ecti
on o
f 2.
Use
oth
er n
umbe
rs in
this
set
to c
heck
the
solu
tion
.
45
32
1
4
0-
5-4-
3-
2-1
Exer
cise
sS
olve
eac
h in
equ
alit
y. G
rap
h e
ach
sol
uti
on o
n a
nu
mb
er li
ne.
Rou
nd
to
the
nea
rest
ten
th if
nec
essa
ry.
1–12
. See
Stu
dent
Han
dboo
k An
swer
App
endi
x.
1.
2x
≥ -
14
2.
30
_
n < 1
60
3.y
+ 5
1 ≤
85
4.
2.5
+ 1
.5a
≤ 7
.5
5. 8
.1h
+ 6
.3 ≥
22.
5
6. 0
.75g
+ 2
3 <
34
7.
2m
+ 6
.2 ≥
15.
6
8.
3.3(
f +
2) >
36.
3
9.
1 _ 2 (p
+ 8
) ≥ 1
2
10.
1 _ 3 r
- 2 _ 3 ≥
1
11.
2n -
1 _ 5 < 9
4 _ 5 12
. 1 _
14
d +
3 _
14
≤ 2 _ 7
13.
SAV
INGS
Tri
sha
wan
ts to
sav
e up
to b
uy a
new
cel
l pho
ne th
at c
osts
le
ss th
an $
150.
She
alr
ead
y ha
s $7
5 sa
ved
. She
als
o m
akes
$10
a w
eek
doi
ng h
er c
hore
s. W
rite
and
sol
ve a
n in
equa
lity
to fi
nd th
e nu
mbe
r of
wee
ks w
orke
d th
at w
ould
allo
w T
rish
a to
buy
a n
ew c
ell p
hone
.
14.
TEX
T M
ESSA
GIN
G Jo
shua
spe
nds
$0.2
5 ev
ery
tim
e he
sen
ds
a te
xt
mes
sage
thro
ugh
his
cell
phon
e. W
rite
and
sol
ve a
n in
equa
lity
that
sh
ows
the
num
ber
of te
xt m
essa
ges
he c
an s
end
wit
h $3
.00.
0.2
5t ≤
3; t
≤ 1
2
15.
SPO
RTS
Ally
son
spen
ds
7 1 _ 2 hou
rs p
layi
ng s
port
s ea
ch
wee
k. S
oftb
all t
akes
a to
tal o
f 3 1 _ 4 h
ours
eac
h w
eek.
If s
he p
lays
spo
rts
4 d
ays
a w
eek,
wri
te a
nd s
olve
an
ineq
ualit
y th
at s
how
s th
e av
erag
e am
ount
of t
ime
per
day
she
spe
nds
on o
ther
spo
rts.
10w
+ 7
5 ≥
150
; w ≥
7.5
10w
+ 7
5 ≥
150
; w ≥
7.5
4h +
3 1 _ 4 ≥
7 1 _ 2 ; h
≥ 1
1 _ 16
4h +
3 1 _ 4 ≥
7 1 _ 2 ; h
≥ 1
1 _ 16
p7p
+ 2
1 ≤
49
Solu
tion
57
× 5
+ 2
1 �
49
35+
21
� 4
9
56�
49
No
37
× 3
+ 2
1 �
49
21+
21
≤ 4
9
42≤
49
Yes
Co
nce
pts
an
d S
kills
Ban
k 7
41
741_
0734
_075
0_E
M_8
7404
674
111
/30/
0712
:16:
21P
M
Concepts and Skills Bank
Sol
ving
Ineq
ualit
ies
You
have
alr
ead
y so
lved
one
- and
two-
step
equ
atio
ns. Y
ou c
an a
pply
wha
t yo
u le
arne
d a
bout
equ
atio
ns to
sol
ve o
ne- a
nd tw
o-st
ep in
equa
litie
s.In
equ
alit
ies
are
sent
ence
s th
at c
ompa
re q
uant
itie
s th
at a
re n
ot e
qual
. The
sy
mbo
ls u
sed
are
<, >
≤, ≥
, and
≠.
Key
Concept
Ineq
ualit
y Sy
mbo
lsSy
mb
ols
<>
≤≥
≠
Wor
ds
•le
ss th
an•
few
er th
an•
grea
ter
than
•m
ore
than
•le
ss th
an o
r eq
ual t
o•
no m
ore
than
• at
mos
t
•gr
eate
r th
an
or e
qual
to•
no le
ss th
an•
at le
ast
•no
t equ
al to
Solv
e a
One
-Ste
p In
equa
lity
1S
olve
s +
3 _ 4 ≤
1
1
_
4
.
s +
3 _ 4 ≤ 1
1 _ 4
s +
3 _ 4 - 3 _ 4 ≤
1 1 _ 4 -
3 _ 4
s +
3 _ 4 - 3 _ 4 ≤
5 _ 4 -
3 _ 4
s ≤
2 _ 4 or
1 _ 2
Writ
e th
e in
equa
lity.
Subt
ract
3 _ 4 fr
om e
ach
side
.
Cha
nge
1 1 _ 4
to a
n im
prop
er fr
actio
n,5 _ 4
.
Subt
ract
.
T
he s
olut
ion
is s
≤ 1 _ 2 .
Solv
e a
Two-
Step
Ineq
ualit
y
2S
olve
7p
+ 2
1 ≤
49.
7p +
21
≤ 4
9
7p +
21
- 2
1 ≤
49
- 2
1
7p ≤
28
p ≤
28
_
7
p ≤
4
Writ
e th
e in
equa
lity.
Subt
ract
21
from
eac
h si
de.
Sim
plify
.
Div
ide
each
sid
e by
7.
Sim
plify
.
T
he s
olut
ion
is p
≤ 4
.
Unl
ike
the
solu
tion
to a
n eq
uati
on, t
he s
olut
ion
p ≤
4 r
efle
cts
a se
t of
num
bers
. One
way
to s
how
this
is in
a n
umbe
r lin
e gr
aph.
74
0
Co
nce
pts
an
d S
kills
Ban
k
740_
0734
_075
0_E
M_8
7404
674
011
/30/
0712
:16:
16P
M
658_0734_0750_EM_874048 Sec2:658658_0734_0750_EM_874048 Sec2:658 11/30/07 12:25:47 PM11/30/07 12:25:47 PM
Concepts and Skills Bank
Concepts and Skills Bank 742–743
Concepts and Skills Bank
Rot
atio
nsA
rot
atio
n o
ccur
s w
hen
a fi
gure
is r
otat
ed a
roun
d a
poi
nt. A
rot
atio
n d
oes
not
chan
ge th
e si
ze o
r sh
ape
of th
e fig
ure.
The
rot
atio
ns s
how
n be
low
are
clo
ckw
ise
arou
nd th
e or
igin
. Rot
ate
a Fi
gure
Abo
ut t
he O
rigi
n
1Tr
ian
gle
AB
C h
as v
erti
ces
A(-
4, 4
), B
(-1,
2),
and
C(-
3, 1
). G
rap
h th
e fi
gure
an
d it
s ro
tate
d im
age
afte
r a
cloc
kw
ise
rota
tion
of
90°
abou
t th
e or
igin
. Th
en g
ive
the
coor
din
ates
of
the
vert
ices
for
�A
´B´C
´.
Gra
ph �
AB
C o
n a
coor
din
ate
plan
e.
y
x
Sket
ch s
egm
ent
−−
BO
con
nect
ing
poin
t B to
the
orig
in. S
ketc
h an
othe
r se
gmen
t, −
−
BO
so
that
th
e an
gle
betw
een
poin
t B, O
, an
d B
´ m
easu
res
90°
and
the
segm
ent i
s co
ngru
ent t
o −
−
BO
.
y
x
′
Rep
eat S
tep
2 fo
r po
ints
A
and
C. T
hen
conn
ect t
he
vert
ices
to fo
rm �
A´B
´C´.
So, t
he c
oord
inat
es o
f the
ver
tice
s of
�
A´B
´C´ a
re A
´(4,
4),
B´(
2, 1
), an
d C
´(1,
3).
y
x′
′
′
90°
Rot
atio
ny
x′
′
′
90°
180°
Rot
atio
ny
x18
0°
′
′′
270°
Rot
atio
ny
x
′
′
′
270°
Co
nce
pts
an
d S
kills
Ban
k 7
43
743_
0734
_075
0_E
M_8
7404
674
311
/30/
0712
:16:
30P
M
Concepts and Skills Bank
Mon
omia
ls a
nd P
olyn
omia
lsA
pol
ynom
inal
is a
n al
gebr
aic
expr
essi
on th
at in
clud
es r
eal n
umbe
rs a
nd
vari
able
s. In
a p
olyn
omia
l, th
ere
are
no te
rms
wit
h va
riab
les
in th
e d
enom
inat
or a
nd n
o te
rms
wit
h va
riab
les
und
er a
rad
ical
sig
n.
po
lyno
mia
l: 2 x
2 - 3
x +
4
not a
pol
ynom
ial:
x 2 - 8 _ x
A s
peci
fic
kind
of p
olyn
omia
l is
a m
onom
ial.
Sinc
e th
e pr
efix
mon
o- m
eans
on
e, a
mon
omia
l is
a po
lyno
mia
l tha
t con
tain
s on
ly o
ne te
rm, l
ike
7x.
Mon
omia
ls th
at c
onta
in th
e sa
me
vari
able
s to
the
sam
e po
wer
are
like
term
s.
Clas
sify
Pol
ynom
ials
Det
erm
ine
wh
eth
er e
ach
exp
ress
ion
is a
pol
ynom
ial.
Exp
lain
you
r re
ason
ing.
If
it is
a p
olyn
omia
l, st
ate
the
nu
mb
er o
f te
rms
in th
e ex
pre
ssio
n.
1 3
x3 +
8x +
7
Thi
s is
a p
olyn
omia
l bec
ause
it is
the
sum
of t
hree
mon
omia
ls. T
here
are
th
ree
term
s.
2 m
- 1 _ m
Thi
s is
not
a p
olyn
omia
l bec
ause
1 _
m h
as
a va
riab
le in
the
den
omin
ator
.
Sim
plif
y Po
lyno
mia
ls
3 F
ind
8x +
7 +
3x +
2.
8x +
7 +
3x
+ 2
=
(8x
+ 3
x) +
(7 +
2)
=
11x
+ 9
Writ
e th
e ex
pres
sion
.
Gro
up li
ke te
rms.
Sim
plify
by
com
bini
ng li
ke te
rms.
Exer
cise
sD
eter
min
e w
het
her
eac
h e
xpre
ssio
n is
a p
olyn
omia
l. E
xpla
in y
our
reas
onin
g. I
f it
is a
pol
ynom
ial,
stat
e th
e n
um
ber
of
term
s in
the
exp
ress
ion
. 1–
18. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
1.
t2 _
5
2. 5
+ √
� b 3.
p4 +
5p
– 2
4.-
5y4 z
5.
4a2
- 2
a +
√ �
90
6.
6 _
n4 +
n2 _
3 -
5
7.-
8c5 d
3 -
4cd
+ 3
d 8.
15r
2 s3
- 9
r +
√ � s
Sim
pli
fy e
ach
exp
ress
ion
.
9.
12r
+ 8
s +
4r
+ s
10
. 4a
+ 5
b +
10
+ 6
a 11
. 7f
+ 8
g +
2f +
g
12.
16x
+ 1
2y +
21y
+ 1
2x
13.
5t +
7 +
u +
3
14.
13c
+ 1
0d +
4c
+ 7
d
15.
4j +
6 +
9j +
3
16.
11p
+ 1
2q +
4p
+ 9
q 17
. 15
mn
+ 1
2m +
4n
+ 7
mn
18.
GEO
MET
RY T
he s
ides
of a
hex
agon
mea
sure
3x,
7y,
6y,
8x,
y, a
nd 4
x.
Wri
te th
e pe
rim
eter
of t
he fi
gure
in s
impl
est f
orm
.
74
2
Co
nce
pts
an
d S
kills
Ban
k
742_
0734
_075
0_E
M_8
7404
674
211
/30/
0712
:16:
26P
M
659_0734_0750_EM_874048 Sec2:659659_0734_0750_EM_874048 Sec2:659 11/30/07 12:25:53 PM11/30/07 12:25:53 PM
Conc
epts
and
Ski
lls B
ank
744–745 Concepts and Skills Bank
Key
Concept
Ineq
ualit
y Sy
mbo
lsV
erti
cal S
lice
An
gled
Sli
ceH
oriz
onta
l Sli
ce
The
cros
s se
ctio
n is
a r
ecta
ngle
.Th
e cr
oss
sect
ion
is a
n ov
al.
The
cros
s se
ctio
n is
a c
ircle
.
Concepts and Skills Bank
Cro
ss S
ectio
ns o
f Thr
ee-D
imen
sion
al F
igur
esT
he in
ters
ecti
on o
f a s
olid
and
a p
lane
is c
alle
d a
cro
ss s
ecti
on o
f the
sol
id.
Des
crib
e Cr
oss
Sect
ions
1D
raw
an
d d
escr
ibe
the
shap
e re
sult
ing
from
a v
erti
cal,
angl
ed, a
nd
h
oriz
onta
l cro
ss s
ecti
on o
f a
squ
are
pyr
amid
.
Slice
Drawing
Description
Vertical
The
cro
ss s
ecti
on is
a tr
iang
le.
Ang
led
The
cro
ss s
ecti
on is
a tr
apez
oid
.
Horizon
tal
The
cro
ss s
ecti
on is
a s
quar
e.
Co
nce
pts
an
d S
kills
Ban
k 7
45
745_
0734
_075
0_E
M_8
7404
674
511
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42P
M
Concepts and Skills Bank
Rot
ate
a Fi
gure
Abo
ut a
Poi
nt
2Tr
ian
gle
LM
N h
as v
erti
ces
L(5
, 4),
M(5
, 7),
and
N(8
, 7).
Gra
ph
the
figu
re
and
its
rota
ted
imag
e af
ter
a co
un
terc
lock
wis
e ro
tati
on o
f 18
0° a
bou
t ve
rtex
L. T
hen
giv
e th
e co
ord
inat
es o
f th
e ve
rtic
es f
or �
L´M
´N´.
Gra
ph th
e or
igin
al tr
iang
le.
y
x
Gra
ph th
e ro
tate
d im
age.
y
x′
′
′
180°
So, t
he c
oord
inat
es o
f the
ver
tice
s of
�L´M´N´ a
re L´(
5, 4
), M´(
5, 1
), an
d
N´(
2, 1
).
Exer
cise
s1–
6. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
Gra
ph
�X
YZ
an
d it
s ro
tate
d im
age
afte
r ea
ch r
otat
ion
. Th
en g
ive
the
coor
din
ates
of
the
vert
ices
for
�X
´Y´Z
´.
1.
180
° cl
ockw
ise
abou
t the
ori
gin
2.
270
° co
unte
rclo
ckw
ise
abou
t ver
tex X
3.
90°
cou
nter
cloc
kwis
e ab
out t
he o
rigi
n
4.
270
° cl
ockw
ise
abou
t ver
tex Y
5.
180
° co
unte
rclo
ckw
ise
abou
t ver
tex Z
6.
90°
clo
ckw
ise
abou
t the
ori
gin
Gra
ph
qu
adri
late
ral A
BC
D a
nd
its
rota
ted
im
age
afte
r ea
ch r
otat
ion
. Th
en g
ive
the
coor
din
ates
of
the
vert
ices
for
qu
adri
late
ral
A´B
´C´D
´. 7–
12. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
7.
90°
cou
nter
cloc
kwis
e ab
out t
he o
rigi
n
8.
90°
clo
ckw
ise
abou
t ver
tex A
9.
180
° co
unte
rclo
ckw
ise
abou
t ver
tex D
10.
270
° cl
ockw
ise
abou
t the
ori
gin
11.
90°
clo
ckw
ise
abou
t the
ori
gin
12.
180
° cl
ockw
ise
abou
t ver
tex B
y
x
y
x
74
4
Co
nce
pts
an
d S
kills
Ban
k
744_
0734
_075
0_E
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674
411
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0712
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37P
M
660_0734_0750_EM_874048 Sec2:660660_0734_0750_EM_874048 Sec2:660 11/30/07 12:25:59 PM11/30/07 12:25:59 PM
Concepts and Skills Bank
Concepts and Skills Bank 746–747
Concepts and Skills Bank
Con
vert
ing
Betw
een
Mea
sure
men
t Sys
tem
s Dim
ensi
onal
an
alys
is is
the
proc
ess
Co
nver
sion
Fac
tors
for L
engt
h
1 in
. ≈ 2
.54
cm1
yd ≈
0.9
14 m
1 ft ≈
0.3
05 m
1 m
i≈1.
609
km
Conv
ersi
on F
acto
rs fo
r Cap
acity
and
Mas
s or
Wei
ght
1 fl
oz ≈
29.
574
mL
1 qt
≈ 0
.946
L
1 pt
≈ 0
.473
L1
gal ≈
3.7
85 L
1 oz
≈ 2
8.35
g1
lb ≈
0.4
54 k
g
of in
clud
ing
unit
s of
mea
sure
men
t as
fact
ors
whe
n yo
u co
mpu
te. Y
ou c
an u
se
rati
os to
con
vert
mea
sure
men
ts b
etw
een
the
two
com
mon
mea
sure
men
t sys
tem
s.
For
exam
ple,
sin
ce 1
in. ≈
2.5
4 cm
, the
rati
o
1 in
. _
_
2.54
cm
≈ 1
. So,
you
can
mul
tipl
y
a m
easu
rem
ent b
y th
is r
atio
wit
hout
ch
angi
ng it
s va
lue.
Conv
ert
Bet
wee
n Sy
stem
s
115
fee
t to
met
ers
Use
1 ft
≈ 0
.305
met
ers.
15 ft
≈ 1
5 ft
· 0.
305
m
__
1
ft
Si
nce
1 ft
≈ 0
.305
m, m
ultip
ly b
y0.
305
m__
1 ft
.
≈ 1
5 ft
· 0.
305
m
__
1
ft
D
ivid
e ou
t com
mon
uni
ts, l
eavi
ng th
e de
sire
d un
it, m
eter
.
≈
15
ft ·
0.3
05 o
r 4.
58 m
M
ultip
ly.
So, 1
5 fe
et is
app
roxi
mat
ely
4.58
met
ers.
2 2
2 k
ilog
ram
s to
pou
nd
s.
Use
1 lb
≈ 0
.454
kg.
Si
nce
1 qt
≈ 0
.946
L, m
ultip
ly b
y1
lb__
0.45
4 kg
.
22
kg
≈ 2
2 kg
·
1 lb
__
0.45
4 kg
D
ivid
e ou
t com
mon
uni
ts, l
eavi
ng th
e de
sire
d un
it, p
ound
.
≈ 2
2 kg
·
1 lb
__
0.45
4 kg
≈
22
_
0.45
4 or
48.4
6 po
und
s.
Div
ide.
So, 2
2 ki
logr
ams
is a
ppro
xim
atel
y 48
.46
poun
ds.
Exer
cise
s1–
16. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
Com
ple
te e
ach
con
vers
ion
. Rou
nd
to th
e n
eare
st h
un
dre
dth
.
1.
17
in. ≈
� c
m
2. 1
3 L
≈ �
gal
3.
15
oz ≈
� g
4.
12
m ≈
� ft
5.
10
L ≈
� p
t 6.
150
cm
≈ �
in.
7. 1
8 fl
oz
≈ �
mL
8. 1
5 km
≈ �
mi
9.
8 y
d ≈
� m
10
. 25
mi ≈
� k
m
11.
200
mL
≈ �
fl o
z 12
. 12
L ≈
� q
t
13.
32
ft ≈
� m
14
. 12
gal
≈ �
L
15.
575
g ≈
� o
z 16
. 55
lb ≈
� k
g
17.
AN
IMAL
S A
per
egri
ne fa
lcon
can
rea
ch a
spe
ed o
f 250
kilo
met
ers
per
hour
. How
man
y m
iles
is th
is p
er h
our?
155.
38 m
iles
per h
our
18.
FO
OD
The
hea
vies
t app
le e
ver
pick
ed w
eigh
ed a
bout
4 p
ound
s. A
bout
ho
w m
any
kilo
gram
s d
id th
e ap
ple
wei
gh?
1.82
kg
Co
nce
pts
an
d S
kills
Ban
k 7
47
747_
0734
_075
0_E
M_8
7404
674
711
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0712
:16:
53P
M
Concepts and Skills Bank
Exer
cise
s1–
13. S
ee S
tude
nt H
andb
ook
Answ
er A
ppen
dix.
Dra
w a
nd
des
crib
e th
e sh
ape
resu
ltin
g fr
om e
ach
cro
ss s
ecti
on.
1.
cone
2.tr
iang
ular
pyr
amid
3.re
ctan
gula
r pr
ism
4.
con
e5.
rect
angu
lar
pris
m6.
cone
7.
tria
ngul
ar p
yram
id8.
rect
angu
lar
pris
m9.
tria
ngul
ar p
rism
SPO
RTS
For
Exe
rcis
es 1
0 an
d 1
1, u
se th
e fo
llow
ing
info
rmat
ion
.
A s
tand
ard
bas
ketb
all i
s sh
aped
like
a s
pher
e.
10.
Dra
w a
bas
ketb
all w
ith
a ve
rtic
al, a
ngle
d, a
nd h
oriz
onta
l slic
e.
11.
Dra
w a
nd d
escr
ibe
the
cros
s se
ctio
n m
ade
by e
ach
slic
e.
SPO
RTS
For
Exe
rcis
es 1
2 an
d 1
3, u
se th
e fo
llow
ing
info
rmat
ion
.
A s
oup
can
is s
hape
d li
ke a
cyl
ind
er.
12.
Dra
w a
sou
p ca
n w
ith
a ve
rtic
al, a
ngle
d, a
nd h
oriz
onta
l slic
e.
13.
Dra
w a
nd d
escr
ibe
the
cros
s se
ctio
n m
ade
by e
ach
slic
e.
74
6
Co
nce
pts
an
d S
kills
Ban
k
746_
0734
_075
0_E
M_8
7404
674
611
/30/
0712
:16:
48P
M
661_0734_0750_EM_874048 Sec2:661661_0734_0750_EM_874048 Sec2:661 11/30/07 12:26:04 PM11/30/07 12:26:04 PM
Conc
epts
and
Ski
lls B
ank
748–749 Concepts and Skills Bank
Concepts and Skills Bank
Exer
cise
sFi
nd
the
volu
me
of e
ach
fig
ure
. Rou
nd
to th
e n
eare
st te
nth
if n
eces
sary
.
1.
4 in
.8
in.
2 in
.
6 in
.
2.
2 cm
2 cm
2 cm
2 cm
4 cm
4 cm
9 cm
3.
15 ft
15 ft
15 ft
4.
10 m 10 m
24 m
Fin
d th
e su
rfac
e ar
ea o
f ea
ch f
igu
re. R
oun
d to
the
nea
rest
ten
th if
nec
essa
ry.
5.
3 in
.
5 in
.
9 in
.
3 in
.
1 in
.
6.
8 m
8 m
15 m
20 m
5 m
7.
4 cm
13 c
m7 cm
8.
9 cm
18 c
m
7 cm
7 cm
3 cm
224
in3
224
in3
104
in3
104
in3
4,70
0.4
ft34,
700.
4 ft3
4,28
5.0
m3
4,28
5.0
m3
192.
9 in
219
2.9
in2
1,57
7.0
m2
1,57
7.0
m2
614.
2 cm
261
4.2
cm2
870
cm2
870
cm2
Co
nce
pts
an
d S
kills
Ban
k 7
49
749_
0734
_075
0_E
M_8
7404
674
911
/30/
0712
:17:
02P
M
Concepts and Skills Bank
Vol
ume
and
Surf
ace
Area
of C
ompo
site
Fig
ures
Vol
ume
is th
e m
easu
re o
f spa
ce o
ccup
ied
by
a th
ree-
dim
ensi
onal
figu
re.
The
vol
ume
of a
com
posi
te fi
gure
can
be
foun
d b
y se
para
ting
the
figu
re in
to
solid
s w
hose
vol
umes
you
kno
w h
ow to
find
.
Find
the
Vol
ume
of a
Com
posi
te F
igur
e
1Fi
nd
the
volu
me
of th
e to
y h
ouse
sh
own
at t
he
righ
t.
The
toy
hous
e is
mad
e of
one
rec
tang
ular
pri
sm a
nd
one
tria
ngul
ar p
rism
. Fin
d th
e vo
lum
e of
eac
h pr
ism
.
R
ecta
ngul
ar P
rism
Tr
iang
ular
Pri
sm
13 in
.6
in.8
in.
13 in
.6
in.
7 in
.13
in.
6 in
.8 in
.
7 in
.
V =
Bh
V =
Bh
V =
(13
· 6) 8
or
624
V =
( 1 _ 2 ·
13
· 7) 6
or
273
The
vol
ume
of th
e to
y ho
use
is 6
24 +
273
or
897
cubi
c in
ches
.
Find
the
Sur
face
Are
a of
a C
ompo
site
Fig
ure
2M
ax is
pai
nti
ng
the
mai
lbox
sh
own
. Wh
at is
the
area
of
the
surf
ace
that
is to
be
pai
nte
d?
Rou
nd
to
the
nea
rest
ten
th.
The
mai
l box
is m
ade
of o
ne h
alf o
f one
cyl
ind
er
and
one
rec
tang
ular
pri
sm.
C
ylin
der
R
ecta
ngul
ar P
rism
25 c
m
50 c
m
25 c
m
50 c
m30
cm
25 c
m
50 c
m30
cm
S =
2πr2
+ 2
πrh
__
2
S
= 2
�w +
2�h
+ w
h
S =
2π(1
2.5)
2 +
2π
(12.
5)(5
0)
____
2
S =
2 ·
25 ·
30 +
2 ·
25 ·
50 +
30
· 50
S ≈
2,4
54.4
S
= 5
,500
So, t
he a
rea
to b
e pa
inte
d is
equ
al to
2,4
54.4
+ 5
,500
or
7,95
4.4
squa
re
cent
imet
ers.
Ther
e is
onl
y on
e ba
se
need
ed. T
he to
p is
cov
ered
by
the
half
cylin
der
74
8
Co
nce
pts
an
d S
kills
Ban
k
748_
0734
_075
0_E
M_8
7404
674
811
/30/
0712
:16:
57P
M
662_0734_0750_EM_874048 Sec2:662662_0734_0750_EM_874048 Sec2:662 11/30/07 12:26:10 PM11/30/07 12:26:10 PM
Concepts and Skills Bank
Concepts and Skills Bank 750
Concepts and Skills Bank
Rel
ativ
e Er
ror a
nd M
agni
tude
Sign
ifica
nt e
rror
can
occ
ur w
hen
estim
atin
g or
mak
ing
pred
ictio
ns u
sing
la
rge
num
bers
. By
com
pari
ng e
stim
ates
to e
xact
cal
cula
tions
, you
can
iden
tify
the
amou
nt o
f err
or th
at o
ccur
red
as a
resu
lt of
roun
ding
or
estim
atin
g.
The
abso
lute
err
or is
the
mag
nitu
de o
f the
diff
eren
ce b
etw
een
the
estim
ate
and
the
actu
al a
nsw
er. R
elat
ive
erro
r is
the
abso
lute
err
or in
est
imat
ing
a qu
antit
y di
vide
d by
the
mag
nitu
de o
f the
exa
ct v
alue
.
Est
imat
e th
e p
opu
lati
on in
crea
se f
or N
ew Y
ork
N
ew Y
ork
CIty
Year
Popu
latio
n
2006
8,21
4,42
6
2005
8,14
3,19
7
2004
8,10
4,07
9
2003
8,08
5,74
2
Cit
y fr
om 2
003
to 2
006.
Th
en f
ind
the
exac
t p
opu
lati
on in
crea
se a
nd
com
par
e.
Est
imat
e: 8
,200
,000
- 8
,100
,000
= 1
00,0
00
Exa
ct: 8
,214
,426
- 8
,085
,742
= 1
28,6
84
The
est
imat
e is
muc
h lo
wer
than
the
exac
t po
pula
tion
incr
ease
. The
abs
olut
e er
ror
is th
e d
iffe
renc
e be
twee
n th
e es
tim
ate
and
the
exac
t an
swer
: 128
,684
- 1
00,0
00, o
r 28
,684
peo
ple.
The
rel
ativ
e er
ror
is 28
,684
__
128,
684 o
r ap
prox
imat
ely
0.22
or
22%
.
Exer
cise
sS
olve
eac
h p
rob
lem
. Com
par
e yo
ur
esti
mat
e to
the
exac
t an
swer
b
y fi
nd
ing
the
rela
tive
err
or.
1.
Fin
d th
e ar
ea o
f a c
ircl
e w
ith
a ra
diu
s of
14
cent
imet
ers.
Fi
rst c
alcu
late
the
area
usi
ng 3
as
an e
stim
ate
for π
. T
hen
use
3.14
to fi
nd th
e ar
ea.
2.
Jen
nife
r is
pla
nnin
g a
wed
din
g re
cept
ion
for
Cost
(per
per
son)
Appe
tizer
$2.7
5
Entré
e$6
.75
Beve
rage
$1.5
5
Cake
$2.9
0
300
gues
ts. T
he ta
ble
show
s th
e co
st p
er p
erso
n fo
r ea
ch p
art o
f the
mea
l. Sh
e ne
eds
to k
now
th
e to
tal a
ppro
xim
ate
cost
of t
he fo
od fo
r th
e re
cept
ion.
3.
Ant
onio
is d
rivi
ng 2
,452
mile
s fr
om A
lban
y, N
ew Y
ork,
to
Los
Ang
eles
, Cal
ifor
nia.
He
dri
ves
abou
t 68
mile
s pe
r ho
ur
for
mos
t of t
he tr
ip. A
nton
io e
stim
ates
how
long
his
trip
will
ta
ke b
y ro
und
ing
68 to
70
and
2,4
52 to
2,5
00.
3.
As
part
of t
heir
gra
nd o
peni
ng, a
new
gro
cery
sto
re d
ecid
es
to g
ive
a fr
ee g
allo
n of
milk
to th
eir
firs
t 1,5
00 c
usto
mer
s.
Nor
mal
ly th
e m
ilk s
ells
for
$3.4
9 pe
r ga
llon.
How
muc
h w
ill th
e gr
and
-ope
ning
spe
cial
cos
t the
gro
cery
sto
re?
Sam
ple
answ
er: e
stim
ate:
126
; exa
ct: 1
38.0
3; re
lativ
e er
ror ≈
0.0
9Sa
mpl
e an
swer
: est
imat
e: 1
26; e
xact
: 138
.03;
rela
tive
erro
r ≈ 0
.09
Sam
ple
answ
er: e
stim
ate:
$4,
500;
exa
ct: $
4,18
5;
rela
tive
erro
r ≈ 0
.07
Sam
ple
answ
er: e
stim
ate:
$4,
500;
exa
ct: $
4,18
5;
rela
tive
erro
r ≈ 0
.07
Sam
ple
answ
er: e
stim
ate:
35
h 43
min
; exa
ct: 3
6 h
4 m
in; r
elat
ive
erro
r ≈ 0
.01
Sam
ple
answ
er: e
stim
ate:
35
h 43
min
; exa
ct: 3
6 h
4 m
in; r
elat
ive
erro
r ≈ 0
.01
Sam
ple
answ
er: e
stim
ate:
$6,
000;
ex
act:
$5,2
35; r
elat
ive
erro
r ≈ 0
.15
75
0
Co
nce
pts
an
d S
kills
Ban
k
750_
0734
_075
0_E
M_8
7404
675
011
/30/
0712
:17:
06P
M
663_0734_0750_EM_874048 Sec2:663663_0734_0750_EM_874048 Sec2:663 11/30/07 12:26:16 PM11/30/07 12:26:16 PM
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750A Student Handbook Answers
Extra Practice
Page 670, Extra Practice, (Lesson 1-8)
13. Distributive 14. Commutative (×)
15. Associative (+) 16. Commutative (+)
17. Distributive 18. Identity (×)
19. Associative (×) 20. Associative (+)
21. Associative (×) 22. Identity (+)
23. Commutative (×) 24. Commutative (+)
Page 670, Extra Practice, (Lesson 1-9)
1. 4 is added to each term; 21, 25, 29
2. 2 is added to each term; 11, 13, 15
3. 5 is added to each term; 30, 35, 40
4. 3 is added to each term; 102, 105, 108
5. 6 is added to each term; 32, 38, 44
6. 0.9 is added to each term; 8.1, 9.0, 9.9
7. 0.1 is added to each term; 0.6, 0.7, 0.8
8. 1.1 is added to each term; 6.7, 7.8, 8.9
9. 0.2 is added to each term; 9.7, 9.9, 10.1
10. 8 is added to each term; 35, 43, 51
11. 25 is added to each term; 450, 475, 500
12. 15 is added to each term; 680, 695, 710
13. 5 is added to each term; 22, 27, 32
14. 7 is added to each term; 38, 45, 52
15. 7 is added to each term; 28, 35, 42
16. 6 is added to each term; 25, 31, 37
17. 6 is added to each term; 119, 125, 131
18. 81 is added to each term; 333, 414, 495
19. 0.2 is added to each term; 3.4, 3.6, 3.8
20. 0.5 is added to each term; 6.1, 6.6, 7.1
21. 1.1 is added to each term; 11.0, 12.1, 13.2
22. 1.5 is added to each term; 25.5, 27, 28.5
23. 0.3 is added to each term; 15.7, 16.0, 16.3
24. 0.3 is added to each term; 1.3, 1.6, 1.9
Page 671, Extra Practice, (Lesson 2-1)
7.
8.
9.
10.
Page 672, Extra Practice, (Lesson 2-3)
13–24.
Page 674, Extra Practice, (Lesson 3-1)
1. p - 6 2. 20 + c
3. a _ b 4. a + 6
5. x + 12 6. $1,000
_ z
7. y _
3 8. 7m
9. f - 9 10. 26 - q
11. 19 - z 12. x - 2
13. 3x - 4 = 17 14. n + 6 = 5
15. 20 + 2n = -30 16. n _ -2
= -42
17. 4 + 3n = 18 18. 5n - 15 = 92
19. 8n + 12 = 36 20. n - 24 = -30
Page 675, Extra Practice, (Lesson 3-4)
3. Greg rented 9 videos, Paloma rented 5, Grace rented 1, and Jack rented 10.
Page 675, Extra Practice, (Lesson 3-6)
6. 13.5 km; 7.875 km 2 8. 50 m; 96.1875 m 2
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Student Handbook Answer Appendix
Student Handbook Answers 750B
Page 676, Extra Practice, (Lesson 3-7)
1. 7.
2. 8.
3. 9.
4. 10.
5. 11.
6.
Page 676, Extra Practice, (Lesson 4-1)
19. 5 × 7 × x × y 20. 2 × 7 × a × a
21. 2 × 3 × 5 × n 22. 3 × 3 × 3 × c × d × d
23. 2 × 2 × s × s × t × t 24. 2 × 2 × 3 × 5 × p × p × q × r
Page 681, Extra Practice, (Lesson 6-1)
7. yes; 4 _ 6 = 2 _
3 and 8 _
12 =
2 _ 3 , so 4 _
6 = 8 _
12
8. no; 20 _ 25
≠ 16 _ 30
since 20 _ 25
= 4 _ 5 and 16 _
30 = 8 _
15
9. no; 20 _ 15
≠ 30 _ 25
since 20 _ 15
= 4 _ 3 and 30 _
25 =
6 _ 5
10. yes; 36 _ 63
= 4 _ 7 since 28 _
49 =
4 _ 7 , so 36 _
63 =
28 _ 49
Page 682, Extra Practice, (Lesson 6-2)
8. 3 classes/semester
Page 683, Extra Practice, (Lesson 6-5)
1. yes; 2 _ 3 = 6 _
9 since 2 × 9 = 18 and 3 × 6 = 18
2. no; 3 _ 1 ≠ 15 _
6 since 3 × 6 = 18 but 1 × 15 ≠ 18
3. no; 2 _ 1 ≠ 8 _
3 since 2 × 3 = 6, but 1 × 8 ≠ 6
4. yes; 1 _ 60
= 6 _ 360
since 1 × 360 = 360 and 60 × 6 = 360
5. no; 4 _ 1.60
≠ 9 _ 3.40
since 4 × 3.40 = 13.60, but 1.60 ×
9 ≠ 13.60
6. no; 159.95 _ 1 ≠ 315.90 _
2 since 159.95 × 2 = 319.90, but
1 × 315.90 ≠ 319.90
Page 683, Extra Practice, (Lesson 6-7)
1. Multiplication followed by subtraction; 12 × 8 = 96, 96 - 8 =
88, 88 - 2 = 86, 12 correct, 2 incorrect, 1 no answer
Page 684, Extra Practice, (Lesson 6-9)
8. 0.0042; 21 _ 5000
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750C Student Handbook Answers
Page 685, Extra Practice, (Lesson 7-3)
13. 0.1 × 40 = 4 and 3 × 4 = 12
14. 0.1 × 100 = 10 and 7 × 10 = 70
15. 0.1 × 150 = 15 and 9 × 15 = 135
16. 0.1 × 70 = 7 and 7 × 7 = 49
17. 0.1 × 90 = 9 and 8 × 9 = 72
18. 0.1 × 180 = 18
19. 0.1 × 220 = 22 and 5 × 22 = 110
20. 0.1 × 500 = 50 and 2 × 50 = 100
21. 0.1 × 400 = 40 and 8 × 40 = 320
22. 0.1 × 60 = 6 and 4 × 6 = 24
23. 0.1 × 180 = 18 and 6 × 18 = 108
24. 0.1 × 450 = 45 and 2 × 45 = 90
Page 685, Extra Practice, (Lesson 7-4)
1. n = 0.45 × 50; 22.5 2. 75 = p × 300; 25%
3. 2 = 0.16 × w ; 12.5 4. n = 0.75 × 80; 60
5. 12 = 0.05 × w ; 240 6. n = 0.60 × 45; 27
7. 90 = p × 95; 94.7% 8. n = 0.285 × 64; 18.2
9. n = 0.465 × 75; 34.9 10. n = 0.555 × 70; 38.9
11. 80.5 = 0.805 × w ; 100 12. 40 = 2 _ 3 × w ; 60
13. n = 1.225 × 80; 98 14. 75 = 2.5 × w ; 30
Page 686, Extra Practice, (Lesson 7-7)
1. $47.70 2. $16.14
3. $179.10 4. $31.03
5. $14.25 6. $154.06
7. $12.54 8. $719.20
9. $112.88 10. $527.12
11. $12,968.75 12. $52.57
Page 687, Extra Practice, (Lesson 7-8)
1. $800 2. $33.33
3. $37.50 4. $17.11
5. $28.34 6. $3.34
7. $138 8. $6.75
9. $1,800 10. $270
11. $380 12. $27
13. $2,315.63 14. $298.99
15. $165.36 16. $91.41
17. $183.33 18. $680.40
Page 687, Extra Practice, (Lesson 8-1)
1. Sample answer: cluster 0–2; gap 5–10; outlier 10
2. Sample answer: clusters 65–66, 75–77, 80–81; gaps 66–75, 77–80, 81–85; outlier 85
3. Sample answer: clusters 32–36, 40–43; gaps 36–40, 44–52; outlier none
4. Sample answer: cluster 1–9; gap none; outlier none
Page 688, Extra Practice, (Lesson 8-3)
1. Stem Leaf1 5 82 3 93 94 1 25 1 2 76 8
1�5 = 15
2. Stem Leaf18 2 3 4 4 919 4 6 6 7
18�9 = 189
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Student Handbook Answer Appendix
Student Handbook Answers 750D
3. Stem Leaf2 1 4 73 44 0 65 0 86 1 77 0 2
3�4 = 34
4. Stem Leaf2 0 0 0 3 73 0 1 2 4 4 5 7 94 2 8 95 2 5
2�0 = 20
Page 688, Extra Practice, (Lesson 8-4)
1.
2.
3. Histogram
4. Histogram
Page 689, Extra Practice, (Lesson 8-6)
2a. Histogram 2b. Sample answer: Except for 1960, the price increases during each ten-year period.
2c. Sample answer: about $40; if you draw a line lying close to the points from 1960 to 2000, 40 lies at 2010.
Page 690, Extra Practice, (Lesson 8-9)
1. Graph B is misleading. The change is the vertical scale makes it seem as if the pounds of grapes sold made drastric changes over the course of the week.
2. Graph A is misleading. The change in the vertical scale makes it seem as if Mr. Turner made a lot more money in the third week.
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750E Student Handbook Answers
Page 691, Extra Practice, (Lesson 9-2)
1.
123456123456
SampleSpace
NumberCube 1
NumberCube 2
2
1
1-11-21-31-41-51-62-12-22-32-42-52-6
123456
3
3-13-23-33-43-53-6
123456
4
4-14-24-34-44-54-6
123456
5
5-15-25-35-45-55-6
123456
6
6-16-26-36-46-56-6
2.
waffle
sugar
strawberry
plain
vanilla
sugar, chocolate
sugar, vanilla
sugar, strawberry
Ice CreamCone
Sample SpaceIce CreamFlavor
chocolate
strawberry
vanilla
chocolate
strawberry
vanilla
chocolate
waffle, chocolate
waffle, vanilla
waffle, strawberry
plain, chocolate
plain, vanilla
plain, strawberry
3.
white
rye
Swiss
wheat
Bread MeatSampleSpace
Cheese
cheddarham
roast beefhamturkey
turkey
roast beefhamturkeyroast beefhamturkeyroast beefhamturkeyroast beefhamturkeyroast beef
Swiss
cheddar
Swiss
cheddar
W, C, HW, C, TW, C, RBW, S, HW, S, TW, S, RBWH, C, HWH, C, TWH, C, RBWH, S, HWH, S, TWH, S, RBR, C, HR, C, TR, C, RBR, S, HR, S, TR, S, RB
4.
T
Penny 1 SampleSpacePenny 2
H HH
HT
TH
TTT
H
H
T
5.
Page 692, Extra Practice, (Lesson 9-5)
2. 924 ways
3. 56 ways
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Student Handbook Answer Appendix
Student Handbook Answers 750F
Page 694, Extra Practice, (Lesson 10-4)
1.
2.
Page 694, E
Page 696, Extra Practice, (Lesson 10-9)
1.
2.
3.
4.
5.
6.
Page 696, Extra Practice, (Lesson 10-10)
7. Q'(-1, -4), U'(2, -2), A'(1, -1), D'(-2, -2)
9.
8. 10.
Page 698, Extra Practice, (Lesson 11-4)
9. 14,526.7 cm 2 11. 514.7 m 2
14. 25.2 yd 2 15. 1,626.0 mi 2
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750G Student Handbook Answers
Page 700, Extra Practice, (Lesson 11-8)
1. Top Side Front
2. Top Side Front
3. Top Side Front
4. 5.
Page 701, Extra Practice, (Lesson 12-1)
16.
98765
58√�
17.
3029282726
750√�
18.
3635343332
1,200√�⎯
19.
3231302928
1,000√�⎯
20.
7978777675
5,900√�⎯
21.
3231302928
999√�
22.
2120191817
374√�
23.
2423222120
512√�
24.
6362616059
3,750√�
25.
1716151413
255√�
26.
1110987
83√�
27.
3130292827
845√�
28.
1615141312
200√�
29.
2423222120
500√�
30.
1021011009998
10,001√�
Page 703, Extra Practice, (Lesson 12-4)
8. 13,992 cm 2 11. 1,264.2 c m 2
12. 184.4 mi 2 14. 643.8 yd 2
15. 343.8 in 2 16. 470.6 m m 2
Page 703, Extra Practice, (Lesson 12-5)
9. 153.3 mi 2 10. 327.2 c m 2
11. 86.0 k m 2 12. 7,321.8 m 2
Mixed Problem Solving
Page 705, Mixed Problem Solving, (Chapter 2)
2. -220, -436, -511, -282, -383, -505, -235, -230
3. -511, -505, -436, -383, -282, -235, -230, -220
5. Hot Tower (0, 3); Ferris Wheel (0, -4)
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Student Handbook Answer Appendix
Student Handbook Answers 750H
Page 706, Mixed Problem Solving, (Chapter 3)
12.
16.
Page 709, Mixed Problem Solving, (Chapter 6)
5.
y
x
Num
ber
10
0
20253035
5
15
1 2 3 4 5Boxes
Markers
Page 710, Mixed Problem Solving, (Chapter 7)
3. Sample answer: 0.1 × 70,000 = 7,000 and 1 _ 2 × 7,000
= 3,500 mi 2
Page 711, Mixed Problem Solving, (Chapter 8)
1.
3. Sample answer: cluster 14–16: most of the energy bars have 14–16 grams of carbohydrates; gaps 2–14 and 16–20: outlier 2: one bar has 2 grams which is much less than the rest of the bars.
5. Stem Leaf0 0 0 0 01 723456 07 88 0 1 2 2 2 2 2 2 2
7�8 = 78 games
6.
7. The number 144 would be placed in the overlap between Even Numbers and Perfect Squares along with the number 4.
9. Yes; sample answer: the junior high sold approximately 185 lunches on Monday which is about 3 _
4 of the number
of lunches sold on Thursday, 250.
10.
H_0750A_0750O_StdtHApdx 750HH_0750A_0750O_StdtHApdx 750H 11/29/07 6:25:47 PM11/29/07 6:25:47 PM
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750I Student Handbook Answers
12. Sample answer: line graph
13. Sample answer: Mallory used the mean to calculate her average number number of monthly minutes. This is misleading because of the outliner, 602. A more appropriate measure to use to describe the data would be the median.
Page 712, Mixed Problem Solving, (Chapter 9)
4.
C
Gate 1 Gate 3 SampleSpaceGate 2
O
COCOCOCO O, O, O
O, O, CO, C, OO, C, CC, O, O C, O, CC, C, OC, C, C
C
O
O
C
O = Open C = Closed
Page 713, Mixed Problem Solving, (Chapter 10)
2. Sample answer: on the circle between A and B or between A and D
4.
5. Sample answer: Victor could subtract 90° and 55° from 180°, leaving 35°. Thus, the measure of the third angle is 35°.
8. m∠1 = 80°, m∠2 = 100°, m∠3 = 80°, m∠4 = 50°, m∠5 = 130°, m∠6 = 50°, m∠7 = 50°, m∠8 = 130°, m∠9 = 50°, m∠10 = 40°.
9. Rectangle; sample answer: it was four right angles, but the four sides may not be congruent.
11. Sample answer: triangles and quadrilaterials; the sum of the angles where the vertices meet is 360°.
12. 3 units right, 4 units down
13. M '(1, 2), O'(-2, 1), V '(-1, -2), E '(2, 1)
Page 714, Mixed Problem Solving, (Chapter 11)
9. Sample answer:
Preparing for Standardized Tests
Page 728, Short-Response Practice
8. The slope is 0.2. It means that Tyler charges $0.20 per mile. The y-intercept is $6. It means that there is an initial charge of $6 for any delivery in addition to the miles driven.
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Student Handbook Answer Appendix
Student Handbook Answers 750J
13. C '(-2, 1), D'(-3, 4), E '(-4, -2)
y
xO
E'
C'
D
C
E
D'
20.
40
60
20
30
50
70
90
80
100
100
Heig
ht (i
n.)
Bird
World’s Largest Flightless Birds
Ostrich Emu
Cass
owar
yRh
eaEm
pero
r
Peng
uin
21.
J F M A M J J A S O N D0
1
2Inch
es
3
4
Month
Precipitation in Syracuse
Sample answer: The amount of precipitation is lowest in February and then increases until July.
Page 732, Extended Response Practice
1a. Florida: about 10.0%; Colorado: about 0.4%; Alaska: about 7.3%; Iowa: about 0.7%; Rhode Island: about 15.1%
1b. Colorado, Iowa, Alaska, Florida, Rhode Island
1c. Sample answer: land area of 2,000 square miles, water area of 500 square miles, percent comparing water to total = 500 ÷
2,500 × 100 = 20%
2a.
y
x
Cost
($)
200
100
0
300
400
1 2 3 4 5 6Time (days)
7
Cost to Rent a Crane
2b. The slope of the line is 45. That is the rental fee per day.
2c. $550
3a. 2.80 = 0.40 + 0.04x; 60 minutes.
3b. $3.60
3c. Use the service that charges 40 cents per connection and 4 cents per minute.
4a. The area is 2,400 square inches.
4b. The dimensions are 80 inches by 120 inches. The area is 9,600 square inches.
4c. The ratio of the areas is 4 to 1.
4d. Sample answer: 60 inches by 80 inches
5a. The measure of ∠1 is 60˚ since the sum of the measures of the angles of any triangle is 180˚.
5b. The measure of ∠2 is 110˚ because the two angles are supplementary. The measure of ∠3 is 95˚ since the sum of the measures of the angles of a quadrilateral is always 360˚.
6a. The area is about 452 square inches.
6b. The area is about 616 square inches.
6c. The percent increase in area is about 36%.
7a. A: 62.8 in3; B: 78.5 in3
7b. 0.8
7c. Sample answer: 5 in. by 4 in. by 7.85 in.
8a.
J F M A M J J A S O N D0
20
40
Tem
pera
ture
(˚F) 60
80
10
30
50
70
Month
Normal Temperatures for Honolulu
y
x
Sample answer: The points suggest a curve if connected. The curve is very slight but goes to its highest point during August and September and then curves downward again.
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750K Student Handbook Answers
8b.
J F M A M J J A S O N D0
20
40
Tem
pera
ture
(˚F)
60
80
10
30
50
70
Month
Normal Temperatures for Minneapolis
y
x
Sample answer: The points suggest a curve if connected. The curve is fairly steep as it goes up from January to July and then goes back downward to December.
8c. The range for Honolulu is 9, while the range for Minneapolis is 60. Sample reasons: Honolulu is close to the equator and is also an island, which affects the climate. Minneapolis is in the northern portion of the continental United States, so will have more varied temperatures.
9a. 1 2 3 4
1 1, 1 1, 2 1, 3 1, 4
2 2, 1 2, 2 2, 3 2, 4
3 3, 1 3, 2 3, 3 3, 4
4 4, 1 4, 2 4, 3 4, 4
9b. 1 _ 16
9c. Using theoretical probability, you would get a sum of 4 threes
out of sixteen times. So, 50 · 3 _ 16
≈ 9 times
Concepts and Skills Bank
Page 735, Concepts and Skills Bank
16–23. Sample answers are given.
16. 3 × 20 = 60 17. 4 × 60 = 240
18. 4 × 40 = 160 19. 4 × 80 = 320
20. 4 × 240 = 960 21. 6 × 10 = 60
22. 5 × 50 = 250 23. 5 × 100 = 500
Page 741, Concepts and Skills Bank
1. x ≥ -7
-10 -9 -8 -7
-7
-6 -5 -4
2. n < 5.3
108 9765
5.3
43210
3. y ≤ 34
3937 38363534
34
3332313029
4. p ≥ 3.3
-2 876543
3.3
-1 210
5. x ≥ 2
-3 76543-1-2 2
2
10
6. r < 14.7
2018 1917161514
14.7
13121110
7. t ≤ 4.7
108 97654
4.7
3210
8. f > 9
10 11 12 13 148 97654
9
9. p ≥ 16
17 18 19 20 2115 1614131211
16
10. r ≥ 5
6 7 8 9 104 53210
5
11. n < 5
108 9765
5
43210
12. d ≤ 1
64 5321
1
0-4-3-2-1
Page 742, Concepts and Skills Bank
1. Yes, there are no denominator variables and no variables under radical signs.; 1 term
2. No, the variable b is under a radical sign.
3. Yes, there are no denominator variables and no variables under radical signs.; 3 terms
4. Yes, there are no denominator variables and no variables under radical signs.; 1 term
5. Yes, there are no denominator variables and no variables under radical signs.; 3 terms
6. No, the variable n is in the denominator.
7. Yes, there are no denominator variables and no variables under radical signs.; 3 terms
8. No, the variable s is under a radical sign.
9. 16r + 9s
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Student Handbook Answer Appendix
Student Handbook Answers 750L
10. 10a + 5b + 10
11. 9f + 9g
12. 28x + 33y
13. 5t + u + 10
14. 17c + 17d
15. 11j + 9
16. 15p + 21q
17. 21mn + 12m + 4n
18. 15x + 14y
Page 744, Concepts and Skills Bank
1. X '(-3, 1), Y '(-5, 4), and Z '(-1, -5)
y
x
′
′
′
2. X '(3, -1), Y '(0, -3), and Z '(-1, 1)
y
x′
′
′
3. X '(1, 3), Y '(4, 5), and Z '(5, 1)
y
x
′
′
′
4. X '(2, -6), Y '(5, -4), and Z '(5, -8)
yx
′′
′
5. X '(-1, -9), Y '(-3, -6), and Z '(1, -5)
yx
′
′
′
6. X '(-1, -3), Y '(-4, -5), and Z '(-5, -1)
y
x
′′
′
7. A'(4, -3), B'(1, -1), C '(2, 2), and D'(4, 3)
y
x′
′
′
′
8. A'(-3, -4), B'(0, -6), C '(-1, -9), and D'(-3, -10)
yx
′
′
′′
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Stud
ent H
andb
ook
Answ
er A
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dix
750M Student Handbook Answers
9. A'(9, -4), B'(7, -7), C '(4, -6), and D'(3, -4)
yx
′
′
′
′
10. A'(4, -3), B'(1, -1), C '(2, 2), and D'(4, 3)
y
x′
′
′
′
11. A'(-4, 3), B'(-1, 1), C '(-2, -2), and D'(-4, -3)
y
x
′
′
′
′
12. A'(1, 2), B'(-1, -1), C '(-4, 0), and D'(-5, 2)
y
x′
′′
′
Page 746, Concepts and Skills Bank
1. ; triangle
2. ; triangle
3. ; square
4. ; circle
5. ; rectangle
6. ; curve
7. ; triangle
8. ; square
9. ; triangle
10. vertical: ; angled: ;
horizontal:
11. All three cross sections are circles.;
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Student Handbook Answer Appendix
Student Handbook Answers 750N
12. vertical: ; angled: ;
horizontal:
13. vertical: , rectangle;
angled: , oval; horizontal: , circle
Page 747, Concepts and Skills Bank
1. 43.15
2. 3.43
3. 425.25
4. 39.34
5. 21.14
6. 59.06
7. 532.33
8. 9.32
9. 7.31
10. 40.22
11. 6.76
12. 12.68
13. 9.76
14. 45.42
15. 20.28
16. 24.97
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