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NAME DATE PERIOD

Chapter 4 Test̂ Form 2A S C O R E

W r i t e the letter for the correct answer i n the blank at the right of each question.

1. W h a t i s t h e s l o p e - i n t e r c e p t f o r m o f t h e e q u a t i o n o f a l i n e w i t h a s l o p e o f 5 a n d a^K-intercept o f - 8 ? A ; ;==-8JC + 5 B J = 8 X - 5 C 5 X - J = - 8 D; ; = 5 ; C - 8

2. W h i c h e q u a t i o n i s g r a p h e d at t h e r i g h t ? ¥2y-x=\Q Vi2x-y = 5 G 2 x + > ' = - 5 J 2 j + Jc = - 5

3. W h i c h i s a n e q u a t i o n o f t h e l i n e t h a t passes t h r o u g h ( 2 , - 5 ) a n d ( 6 , 3 ) ?

C >' = 2 x + 12

By = -x Dy = 2x-9

4. W h a t i s a n e q u a t i o n o f t he l i n e t h r o u g h ( 0 , - 3 ) w i t h s l o p e - ? F-5x + 2y= 15 G - 5 J C - 2 V - - 1 5

H 2 x - 5 j = 15 J -2A - + 5 > ' = 15

5. W h i c h i s a n e q u a t i o n o f t h e l i n e w i t h s l o p e -3 and a> ' - in te rcep t o f 5? A ; ; = - 3 ( j r + 5 ) B j ; ~ 5 = = - 3 x C - 3 j r + 3 ; = 5 D>' = 5 x - 3

6. W h a t i s t h e e q u a t i o n o f t h e l i n e t h r o u g h ( - 2 , - 3 ) w i t h a s l o p e o f 0 ? Fx = -2 G 7 = - 3 U-2x-3y^0 J - 3 . x + 2>' = 0

7 . F i n d t h e s l o p e - i n t e r c e p t f o r m o f t h e e q u a t i o n o f t h e l i n e t h a t passes t h r o u g h ( - 5 , 3 ) a t i d i s p a r a l l e l t o 12;c - 3y = 10 . Ay = -4x-l7 B > ' - 4 . x - 1 3 = -4JC + 13 D = 4.x + 2 3

8. I f l i n e ^ has a s l o p e o f - - , w h a t i s t h e s l o p e o f a n y l i n e p e r p e n d i c u l a r t o ql 8

G § 8 8 3

l i n e o f fit m i g h t b e d e f i n e d as A a l i n e t ha t c o n n e c t s a l l t h e da t a p o i n t s . B a l i n e t ha t m i g h t bes t e s t i m a t e t h e da ta a n d be used f o r p r e d i c t i n g v a l u e s . C a v e r t i c a l l i n e h a l f w a y t h r o u g h t h e da ta . D a l i n e t h a t has a s l o p e g rea te r t h a n 1.

JL^. a scat ter p l o t o f da t a c o m p a r i n g t h e n u m b e r o f y e a r s s i nce H o l b r o o k H i g h S c h o o l i n t r o d u c e d a m a t h c l u b a n d t h e n u m b e r o f s tuden t s p a r t i c i p a t i n g c o n t a i n s t h e o r d e r e d p a i r s ( 3 , 19) a n d ( 8 , 4 2 ) . W h i c h i s t h e s l o p e - i n t e r c e p t f o r m o f a n e q u a t i o n f o r t h e l i n e o f fit? F J = 4.6JC + 5.2 Gy-=3x+l H 7 = 5.2.r + 4 . 6 J > ' = 0 . 2 2 x - 1.13

. U s e t h e e q u a t i o n f r o m Q u e s t i o n 10 t o e s t i m a t e t h e n u m b e r o f s tuden t s w h o w i l l be i n t he m a t l i c l u b d u r i n g t h e 1 5 t h y e a r . A 53 B 6 1 C 6 5 D 7 4

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

Chapter 4 57 Glencoe Algebra 1

fxlAME DATE PERIOD

Chapter 4 Test, Form 2A (continued)

For Questions 12-14, use the scatter plot shown. 8 7 6 5

•95 ' 0 0 ' 0 5

12. W h i c h da ta are s h o w n b y t h e scat ter p l o t ? F ( 1 9 9 5 , 5 . 5 ) , ( 1 9 9 7 , 6 . 1 ) , ( 2 0 0 4 , 7 . 6 ) G ( 1 9 9 5 , 5 . 5 ) , ( 2 0 0 0 , 6 . 1 ) , ( 2 0 0 4 , 7 . 6 ) H ( 1 9 9 5 , 5 . 5 ) , ( 2 0 0 0 , 6 . 6 ) , ( 2 0 0 5 , 8 . 0 ) J ( 1 9 9 5 , 5 . 5 ) , ( 1 9 9 7 , 6 . 6 ) , ( 2 0 0 5 , 8 . 0 )

i S . W l i i c h i s t r u e a b o u t t h e da ta? A T h e s l o p e o f a b e s t - f i t l i n e w o u l d b e n e g a t i v e . B T h e r e i s a p o s i t i v e c o r r e l a t i o n . C T h e r e i s n o c o r r e l a t i o n . D T h e r e i s a n e g a t i v e c o r r e l a t i o n .

1 4 ^ a s e d o n t h e da t a i n t h e scat ter p l o t , w h a t w o u l d y o u e x p e c t t h e y - v a l u e t o b e / f o r A: = 2 0 1 0 ?

F b e t w e e n 7 a n d 8 H b e t w e e n 5 a n d 7 G h i g h e r t h a n 8 J i m p o s s i b l e t o t e l l

I p / j o c a l c u l a t e t he cha rge f o r a l o a d o f b r i c k s , i n c l u d i n g d e l i v e r y , t he R e d s t o n e , ' B r i c k C o . uses t h e e q u a t i o n C = 0 . 4 2 b + 2 5 , w h e r e C is d i e cha rge a n d b i s

t h e n u m b e r o f b r i c k s . W h a t i s t h e d e l i v e r y fee p e r l o a d ? A $ 4 2 C $ 2 5 B $ 6 7 D I t depends o n t h e n u m b e r o f b r i c k s

F o r Q u e s t i o n s 16 a n d 17, u s e t h e t a b l e s h o w n . S h o t s o n G o a l 2 2 2 5 2 8 2 9 3 3 P o i n t s S c o r e d 5 7 7 9 8

j X ^ F i n d t h e s l o p e o f t h e b e s t - f i t l i n e . F - 0 . 5 6 1 G 0 . 2 8 3 H 0 . 6 3 1 J 0 . 7 9 4

I T ^ s t i m a t e h o w m a n y p o i n t s w o u l d b e s co red i f 8 0 sho t s w e r e t a k e n o n t h e g o a l u s i n g t h e b e s t - f i t l i n e . A 18 B 1 9 C 2 2 D 2 4

I S f . ' F i n d t h e i n v e r s e o f { ( 4 , - 1 ) , ( 3 , - 2 ) , ( 6 , 9 ) , ( 8 , 5 ) } . ' F { ( 8 , 5 ) , ( 6 , 9 ) , ( 3 , - 2 ) , ( 4 , - 1 ) } H { ( - 1 , 4 ) , ( - 2 , 3 ) , ( 9 , 6 ) , ( 5 , 8 ) }

G { ( - 4 , 1 ) , ( - 3 , 2 ) , ( - 6 , - 9 ) , ( - 8 , - 5 ) } J { ( - 1 , 2 ) , ( 9 , 5 ) , ( 4 , 3 ) , ( 6 , 8 ) ] I 9 ^ f , / ( x ) = 3x - 4 , f i n d f'^(x) .

A / " H X ) = 4 A ' - 3 B r H ^ ) = X + 4

X - 4

12.

13.

14.

15.

16.

D f-^(x)=^-3x

17.

18.

19.

20.' lff{x) = 8i5x - 2 ) , f i n d f~^ix). 5x + 2

H / - i ( x ) =

8

X - 1 6

40

5x-2

8

X + 1 6

40 20.

B o n u s W h a t i s t h e j ' - i n t e r c e p t o f a l i n e t h r o u g h ( 2 , 7 ) a n d p e r p e n d i c u l a r t o t h e g r a p h ofy = - - A + 6 ?

Chapter 4 58 B :

Glencoe Algebra 1

NAME DATE PERIOD


12. W h i c h i n e q u a l i t y c o r r r e s p o n d s t o t h e g r a p h s h o w n ?

- 2 - 1 0 1 2 3 4 5 6

F x-2 <3 G x-2 >3

H x-2 >3 J x-2 <3 12.

13. W h i c h o f t h e f o l l o w i n g i s t h e s o l u t i o n set o f | 2.x: - 3 | > 4 ?

A{x I x < - 0 . 5 o r x > 3 . 5 } C {JC | - 0 . 5 < A : < 3 . 5 }

B {jc I j c < - l o r J C > 7 } D {jc I j c < 0 . 5 o r x > 3 . 5 }

14. P e t e ' s g r ade o n a tes t w a s w i t h i n 5 p o i n t s o f h i s class a v e r a g e o f 9 4 . W h a t i s h i s r a n g e o f g rades o n t he t es t?

F g < 8 9 o r g > 9 9

G 8 9 < g < 9 9

H g > 8 9 o r g > 9 9

J g < 9 9 o r g < 8 9

13.

14.

15. W h i c h o r d e r e d p a i r i s pa r t o f t h e s o l u t i o n set o f t h e i n e q u a l i t y \2+y< -3x7

A ( - 1 6 , 3 ) B ( l , 4 ) C ( 4 , - l ) D ( 3 , - 1 6 ) 15.

16. W h i c h i n e q u a l i t y i s g r a p h e d at t h e r i g h t ?

F > ' < 2 J C + 1

Gy>2x+l

ny<^x+1

Jy>^x+1

17. T a k a b o u g h t a n e w coa t a n d n e w shoes . H e spent $ 1 2 2 . W h i c h i n e q u a l i t y r ep re sen t s t h i s s i t u a t i o n i f x r ep re sen t s t h e cos t o f a coa t a n d y r ep re sen t s t h e cos t o f t h e shoes h e b u y s ?

(0,1)

y'

(2,2)

A 1 2 2 < v + A- B v < 122 +A- C . y - A > 122 D v < 1 2 2 - A

18. D e t e r m i n e w h i c h o f t h e o r d e r e d p a i r s a re a p a r t o f t h e s o l u t i o n o f > ' + 1 > - JC + 3. F ( 2 , 3 ) G (-4, 0 ) H ( l , 2 ) J ( - 3 , 1)

16.

17.

18.

19. W h i c h i n e q u a l i t y has a s o l u t i o n set of {x \ > - 3 o r A < - 4 } ? A |2A: + 7 | < 1 C\2x + 7 | > - 1 B \2x + 7 | > 1 D\2x + 7 | > - 1

20. L a u r i e a n d M a y a s o l d a t m o s t $ 5 0 w o r t h o f g e t - w e l l a n d friendship cards. T h e f r i e n d s h i p cards , x, w e r e s o l d f o r $2 each a n d t h e g e t - w e l l cards , y, w e r e s o l d f o r $ 1.50 each. W h i c h p o i n t r ep re sen t s a r e a s o n a b l e n u m b e r o f cards s o l d ? F ( 2 0 , 10 ) G ( 1 5 , 10 ) H ( 1 8 , 2 0 ) J ( 1 0 , 3 0 )

19.

20.

Bonus S o l v e 6(|M| - 3 ) - 4 |«| + 5 < 1 1 . B:


NAME DATE PERIOD

Chapter 5 Test, Form 2A Write the letter for the correct answer in the blank at the right of each question.

For Questions 1-6, solve each inequality.

l . - 5 1 < j c + 3 8 A { j c | j c < ~ 1 3 } B{x\x<%9)

2.m~->-8 2

' = { m \ m > G { m |

A { / | / < - 8 }

4. - 3 . 5 z < 4 2 F { z U > 1 2 }

5. 4vv - 6 > 6w ~ 2 0 A {w\w<7}

B{t\t<~2)

G { z | z < 1 2 }

B { H ' | H ' < 2 }

6. 8 r - ( 5 r + 4 ) > - 3 I F{r\r<-9} G { A - | A - > - 9 }

C{x\x> - 8 9 }

n [ m \ m < l }

C{t\t>2)

H { z | z < - 1 2 }

C { v v | H ' < - 7 }

H {r\r>9}

D { j c | j c > - 1 3 }

m I m > -' 8

D { / | 0 - 8 }

J { z | z > - 1 2 }

D { u ' l w<-2}

J { r | r < 9 }

7 . T h e s u m o f t w o c o n s e c u t i v e i n t e g e r s i s at m o s t 3 . W h a t i s t he greates t p o s s i b l e v a l u e f o r t he g rea te r i n t e g e r ? A 5 B l C 3 D 2

8. W h i c h o f t h e f o l l o v w n g i s t h e g r a p h o f t h e s o l u t i o n set o f > ' < - 3 o r v < 1? F • I 0 I ! 10 1 I I • H I I I I I I 0 T l I

- 4 - 3 - 2 - 1 0 1 2 3 4 G I (D M I '0 I I I

- 4 - 3 - 2 - 1 0 1 2 3 4

- 4 - 3 - 2 - 1 0 1 2 3 4 J I J) I I I I I I I •

- 4 - 3 - 2 - 1 0 1 2 3 4

S C O R E

1.

2.

3.

4.

9. ^ \ ' ^ l i c h c o m p o u n d i n e q u a l i t y ' has t h e s o l u t i o n set s h o v r a i n t h e g r a p h ? A - 1 < « < 2 B - 1 < w < 2

- 4 - 3 - 2 - 1 0 1 2 3 4 C « > - 1 o r ? 7 < 2 D - i < « < 2

10. W h i c h o f t h e f o l l o w i n g i s t h e s o l u t i o n set o f - 4 < 3r + 5 < 2 0 ? F { / | - 3 < r < 5 } H{t\t<-3} G { V | / < - 3 a n d ? < 5 } J { / U < - 3 o r / > 5 }

11. W h i c h o f t h e f o l l o w i n g i s t h e g r a p h o f t h e s o l u t i o n set o f / - 4 > 4 / + 8 o r 3t > 1 4 - 4 / ? A ! • I I M I (D I C ' h ^ I I I I 10 1 '

- 5 - 4 - 3 - 2 - 1 0 1 2 3 - 5 - 4 - 3 - 2 - 1 0 1 2 3 B •0 - D • I 0 - e - f

- 4 - 3 - 2 - 1 0 1 2 3 4 - 5 - 4 - 3 - 2 - 1 0 1 2 3

9.

10.

11.


NAME DATE PERIOD

Chapter 6 Test, Form 2A S C O R E

Write the letter for the correct answer in the blank at the right of each question.

Use the graph for Questions 1-4. For Questions 1 and 2, determine how many solutions exist for each system of equations.

A n o s o l u t i o n B o n e s o l u t i o n C i n f i n i t e l y m a n y s o l u t i o n s D c a n n o t b e d e t e r m i n e d

1 . J = 3JC + 3 3x-y = 2

2.x + 2y = -\ 2x + 3y = 0

1.

2.

3. T h e s o l u t i o n t o w h i c h s y s t e m o f e q u a t i o n s has a n x v a l u e o f 3 ? F ; c + 2>' = - l G3x-y = 2 H > ' = 3JC + 3 J2JC + 3 J = 0

y = 3x + 3 jc + 2 v = - l 2x + 3y = 0 x + 2y = -] 3.

4. T h e s o l u t i o n t o w h i c h s y s t e m o f e q u a t i o n s has a> ' v a l u e o f 0 ? A x + 2>' = - l B 3 J C - 7 = 2 C > ' = 3JC + 3 D2JC + 3>' = 0

>' = 3JC + 3 x + 2y = -\JC + 3>^ = 0 JC + 2>' = - 1 4.

5. W h e n s o l v i n g t h e s y s t e m o f e q u a t i o n s , x + 2y= 15 w h i c h e x p r e s s i o n c o u l d be s u b s t i t u t e d 5 x + >' = 2 1 f o r X i n t h e second e q u a t i o n ? F 1 5 - 2 J G 2 1 - 5 X H 1 5 - X 21-2y 5.

6. I f .x: = 2 v + 3 a n d 4x - 5y = 9 , w h a t i s t h e v a l u e o f v ? A 2 B l C i D - 2 6.

7. U s e e l i m i n a t i o n t o s o l v e t h e s y s t e m x + 7 j = 16 a n d 3 j : - 7>' = 4 f o r x. F 3 G 4 H 5 J - 6 7.

8. U s e e l i m i n a t i o n t o s o l v e t h e s y s t e m JC - 5>' = 2 0 a n d x + 3y = - 4 f o r JC. A 5 B - 3 C I O D ^ 0 8.

9. U s e e l i m i n a t i o n t o s o l v e t h e s y s t e m Sx-7y= 5 a n d 3x-5y = 9 foxy. F - 2 G 8 H - 3 J - 1 9.

10. U s e e l u n i n a t i o n t o s o l v e t h e s y s t e m 4JC + 6y = 10 a n d 2x + 5>' = 1 f o r x. A l l B 5 - C -2 10.

11. T h e s u b s t i t u t i o n m e t h o d s h o u l d b e u s e d t o s o l v e w h i c h s y s t e m o f e q u a t i o n s ? F 4 . T + 3 y = 6 G 2 . r + 5 v = l H6 .T + 2 V = 1 J . y = 3 . r + 1

5JC -3> ' = 2 2 . x : - 3 > ' = 4 3;c + 4>' = 7 2x + Ay^5 11.


NAME DATE PERIOD


12. U s e s u b s t i t u t i o n t o s o l v e t h e s y s t e m JC + 2>' = 1 a n d 2JC + 5;^ = 3 .

A ( - 1 , 1 ) B ( l , - 1 ) C ( - 5 , 3 ) D ( - l , - l ) 12.

F o r Q u e s t i o n s 13 a n d 14, s o l v e t h e s y s t e m a n d find v a l u e s o f > ' . 13. 3 . X - 5 > ' = - 3 5 F 4 H - 4

2JC - = - 3 0 13.

14. 3JC + 4y = - 3 0 2JC - 5>' = 7 2

A - 6 B 6 C - 1 2 D 12 14.

15. C o f f e e C a f e m a k e s 9 0 p o u n d s o f c o f f e e t h a t cos ts $ 6 p e r p o u n d . T h e t y p e s o f c o f f e e u sed t o m a k e t h i s m i x t i u ^ e cos t $ 7 p e r p o u n d a n d $4 pe r p o u n d . H o w m a n y p o u n d s o f t h e $ 7 - p e r - p o u n d c o f f e e s h o u l d b e u s e d i n t h i s m i x t u r e ?

F 3 0 l b G 4 0 l b H 5 0 l b J 6 0 l b 15.

16. Y o u r t eacher i s g i v i n g a tes t t h a t has 5 m o r e f o u r - p o i n t q u e s t i o n s t h a n s i x - p o i n t q u e s t i o n s . T h e tes t i s w o r t h 1 2 0 p o i n t s . W h i c h s y s t e m rep resen t s t h i s i n f o r m a t i o n ?

Ax + 5-=Y 4JC + 6y '= 120

B . v + >' = 5 6JC + 4y = 1 2 0

Cx-y=5 6JC + 4 > ' = 120

D JC - V = 5 4JC + 6y = 1 2 0 16.

17. W h a t s y s t e m o f i n e q u a l i t i e s i s r e p r e s e n t e d i n t h e g r a p h ?

F > ' < - 2 J C + 1

G > ' > - 2 J C + 1

H ; ; < - 2 J C + 1 ^ i - A - 1

J > ' > - 2 J C + 1

r • " I w • . .. .J. ...

. . . . . . \ — - ^ " " - ^ . . . . . . \

% \

\

V i ; •

17.

B o n u s W h e r e o n t h e g r a p h o f 2JC - 6 ^ = 7 i s t h e j c - c o o r d i n a t e t w i c e t h e ^ - c o o r d i n a t e ?


NAME DATE PERIOD

Chapter 7 Test, Form 2A Write the letter for the correct answer in the blanii at the right of each question.

1. S i m p l i f y ( x 3 ) 8 .

C 8 x 24 D 8 x 11

S C O R E

1.

2. S i m p l i f y {-IhkYiAh^k^Y.

Flh^^k'^° G - 6 4 h ^ f c " H - 2 5 6 ^ 1 0 fci'^ J 2 5 6 / i " fc" 2.

4 ^ 2

3. S i m p l i f y — — . A s s u m e t h e d e n o m i n a t o r i s n o t e q u a l t o z e r o .

B 46"

D 4b^ 3.

4. S i m p l i f y ^^-^^^——x . A s s u m e t h e d e n o m i n a t o r i s n o t e q u a l t o z e r o .

9 U 9 y 16 J 9 n 24 4.

5. W h i c h m o n o m i a l r ep resen t s t h e n u m b e r o f square u n i t s i n t h e a rea o f a c i r c l e w i t h r a d i u s u n i t s ?

A 1 6 7 i x ^ B 8 7 a : ^ 5.

6. E x p r e s s 4 6 , 1 0 0 , 0 0 0 i n s c i e n t i f i c n o t a t i o n . F 4 . 6 1 x i o ' G 4 . 6 1 x 1 0 ^ H 4 . 6 1 X I Q S

7. E v a l u a t e - 7 X 10* 4 X l O " - '

A 5 X 1 0 ^ B 5 X 1 0 - 2 0 C 5 X 1 0 - 1

J 4 . 6 1 X 10«

D 5 X I Q i

6.

7.

8. ATTENDANCE T h e t o t a l a t t endance f o r a p r o f e s s i o n a l b a s e b a l l t e a m t h i s season w a s 3 . 2 4 X 1 0 ^ a n d t w o y e a r s ago w a s 2 . 4 3 x 1 0 ^ . A b o u t h o w m a n y t i m e s as l a r g e w a s t h i s s ea son ' s a t t endance as a t t endance t w o y e a r s a g o ?

F 0 . 8 G 0 . 9 H 1.1 J 1.3 8.

9 . W r i t e l O y z i n r a d i c a l f o r m .

A y i O ^ B l O V ^ C l O y i O y D v V T O 9 .

10. E v a l u a t e 8 1 * . F 3 G 9 H 2 7 J 2 4 3 10.

11. S o l v e 5 ^ - 2 = 125 . A 2 B 3

Chapter 7 C 4 D 5

63 11.

Glencoe Algebra 1

NAME DATE PERIOD


l i f f w h i c h i s t h e e q u a t i o n f o r t h e «th t e r m o f t h e g e o m e t r i c sequence - 4 , 8, - 1 6 , . . . ? F a „ = - 4 - 2 " - i H a „ - - 4 - ( - 2 ) " - i G a „ = - 2 - ( - 4 ) " - i J a „ = - 2 4 "

1 3 ^ W h i c h e q u a t i o n r ep re sen t s e x p o n e n t i a l g r o w t h ? A y = 5 ( 0 . 8 4 ) * By=5x Cy = 0.3x^

^ / t C ^ W h i c h e q u a t i o n c o r r e s p o n d s t o t h e g r a p h s h o w n ? F y = ( 3 ) ^ + 1 H y = 2 ( 3 * ) 0 ^ = 2 ( 3 * + 1) J y = ( 2 - 3 ) * + 1

D y = 5 ( 1 . 0 6 ) '

J

12.

13.

14.

l^A w e i g h t i i f t e r c a n i n c r e a s e t h e w e i g h t fV(x) t h a t she c a n h f t a c c o r d i n g t o W(x) = 3 1 5 ( 1 . 0 5 ) * , w h e r e JC r ep re sen t s t h e n u m b e r o f t r a i n i n g c y c l e s c o m p l e t e d . H o w m u c h w i l l she l i f t a f te r 4 t r a i n i n g cyc l e s? A 3 6 5 l b B 3 8 3 l b C 3 7 8 l b D 4 0 2 l b 15.

16: B I O L O G Y A c e r t a i n f a s t - g r o w i n g b a c t e r i a inc reases 6 % per m i n u t e . I f t h e r e a re 1 0 0 b a c t e r i a n o w , a b o u t h o w m a n y w i l l t h e r e be 12 m i n u t e s l a t e r ? F 172 G 2 0 1 H 4 8 J 1 9 0

^ P O P U L A T I O N A c i t y ' s p o p u l a t i o n i s a b o u t 9 5 4 , 0 0 0 a n d i s dec rea s ing a t a n a n n u a l r a t e o f 0 . 1 % . P r e d i c t t h e p o p u l a t i o n i n 5 0 y e a r s .

A 5 7 7 , 1 7 6 B 9 0 6 , 3 0 0 C 1 ,002 ,888 D 9 0 7 , 4 5 0

L S T F i n d t h e t h i r d t e r m o f t h e sequence i n w h i c h a i = 7 a n d a„= -la^ _ i + 1 1 , i f«>2 .

F - 2 3 G 3 H 5 J 17

\^¥md an e x p l i c i t f o r m u l a f o r a-^= -A, a„ = a„ _ i + 9 , « > 2 ,

A a „ = 9 n - 1 3 C a „ = 9 « - 4 Ba„ = « + 9 D a „ = - 4 « + 9

^^^.V'md a r e c u r s i v e f o n n u l a f o r t h e a r i t h m e t i c sequence 2 4 , 3 2 , 4 0 , 4 8 , ... .

F a i = 2 4 , a „ = 8 a „ _ i , « > 2

G a i = 24,a„ = i a „ _ i + 2 0 , « > 2

H a i = 2 4 , a „ = - a „ _ i , « > 2

J a i = 2 4 , a„= a„ _ i + 8, M > 2

16.

17.

18.

19.

20.

B o n u s S i m p l i f y I^^TTT-

Chapter 7 64 B .

Glencoe Algebra 1

NAME DATE PERIOD


S C O R E

1. W r i t e -6x + 2x^ + 3 i n s t anda rd f o r m . A3-6x + 4x'^ +2x^ B + 3 + 2x^ - 6x

C 2x^ +Ax^-6x + 3 D - 6 x + 4x^ + 3 + 2x^ 1.

2. F i n d (9t^ + 4i-6)- (t^ -2t + 4 ) . F 8 t 2 + 6 / - 1 0 GSt^ + 2l-2 H 9 t 2 + 6 / - 2 J 9 t 2 + 6 / - 1 0

3. S i m p l i f y 2a^{5a -6)~5a (a^ - 3 a + 4) - 7(a - 5). A 5 a 3 + 3a2 - 2 7 a + 35 B 5a^ - 1 0 a - 7

C 5 a 3 - 2 7 a 2 + 1 3 a - 3 5 D n o n e o f these

4. F a c t o r 24x^y ~ 66xy^ + 54x^y^ c o m p l e t e l y . F 2 x ) ; ( 1 2 x - 3 3 y + 2 7 x y ) G 6 x 2 y 2 (4^,,_ \ \ x i 9 ) J 6x;<4x - 1 \ + 9x>')

5. E a c h s ide o f a square x u n i t s l o n g i s dec reased b y 9 u n i t s . W h i c h e x p r e s s i o n rep resen t s t h e a r ea o f t h e n e w square i n square u n i t s ? A x 2 - 8 1 C x 2 - 1 8 x + 8 1 B x 2 - 1 8 x + 1 8 D 2 X - 1 8

6. S o l v e {3w + 4){2w - 7) = 0 . G A ' 7) H

3 ' 2 ) 4 7 3 ' ~ 2

6.

7 . F a c t o r x2 - I O x + 9. A ( x - l ) ( x - 9 ) B ( x + l ) ( x + 9)

C (X - l ) ( x + 9) D ( x + l ) ( x - 9 ) 7 .

8. F i n d ( 3 y - 4 ) ( 2 y 2 + y - 1 ) . F 6y^ - 5y2 - 7y - 4 G 6y^ - 7y2 7y + 4

H 6y3 - 5y2 - 7y + 4 J 6y3 - 5y2 + 7y + 4 8.

9. S o l v e y 2 = 1 3 y - 4 2 . A { - 6 , - 7 } B { 6 , 7 } C { - 6 , 7 } D { 6 , - 7 } 9.

10. F i n d (4a^ + by. F ! 6 a ^ + fa2 G 160"* + Sa^b + b'^

H S a ^ + &2 J 4a'^ + Sa^b + b^ 10.

11. F a c t o r 5x2 - 13x + 6 . A ( x + 3 ) ( 5 x - 2 ) C ( x + 2 ) ( 5 x + 3 ) B ( x - 2 ) ( 5 x - 3 ) D ( x - 3 ) ( 5 x + 2 ) H .

Chapters 71 Glencoe Algebra 1

NAME DATE PERIOD


12. S o l v e 7 x 2 - 2 0 x = 3 .

G H - - - 3 7' ^ .7 12.

13. F a c t o r mr^~64t^. A ( 1 1 / - + 8 / ) ( 1 1 A - - 8 0 B ( l l r - 8 0 ( l l r - 8 0

C ( l l / " + 8 / ) ( l l r + 8 / ) D p r i m e 13.

14. S o l v e 6{n - 1 1 ) = 12 + 4(2« - 3 ) . F - 1 1 G U H - 3 3 J 3 3 14.

15. S o l v e 5x2 - 3x = ( T x ^ + 5x) - (2x2 + A 2 B 2 C 8 D 8 15.

16. W h i c h b i n o m i a l i s a f a c t o r o f 6x2 + 4 3 ^ + 957 F x + 4 G 3 x + 8 H 3 X + 1 6 J 6 x + 16 16.

17. i f t h e a rea o f a square i s m u l t i p l i e d b y n i n e , t h e area b e c o m e s 16 square i nches . F i n d t h e l e n g t h X o f a s ide o f t h e square . . 16 . A — m .

9 B ^ i n . C - i n .

4 D ^ i n . 17.

1 8 . S O C C E R J u l i a n k i c k e d a soccer b a l l i n t o t h e a i r w i t h a n i n i t i a l u p w a r d v e l o c i t y o f 4 0 fee t pe r second . T h e h e i g h t h i n fee t o f t h e b a l l a b o v e t h e g r o u n d can b e m o d e l e d b y /? = -16t2 + 4 0 / , w h e r e / i s t h e t i m e i n seconds a f te r J u l i a n k i c k e d t h e b a l l . F i n d t h e t i m e i t t a k e s t h e b a l l t o r e a c h 2 5 fee t a b o v e t h e g r o u n d .

J l ^ s 4

18.

19. T h e p r o d u c t o f t w o c o n s e c u t i v e o d d in t ege r s i s 1 4 3 . F i n d t h e i r s i u n . A - 2 0 o r 2 0 B - 2 8 o r 2 8 C - 2 6 o r 2 6 D - 2 4 o r 2 4 19.

20. T h e l e n g t l i o f a r e c t a n g l e i s t w i c e t he w i d t h . T h e a rea i s 7 2 square c e n t i m e t e r s . W h a t i s t he l e n g t h ? F 4 8 c m G 2 4 c m H 12 c m J 6 c m 20.

Bonus F i n d t h e v a l u e o f c t h a t w i l l m a k e 9 x 2 + 3 0 x + c a pe r fec t square t r i n o m i a l . B.

Chapter 8 72 G l e n c o e A l g e b r a 1

NAME DATE PERIOD


1. C o n s i d e r t h e e q u a t i o n y = x ^ + 5 x - 6. D e t e r m i n e w h e t h e r t h e f u n c t i o n has a m a x i m u m o r m i n i m i m i v a l u e . S t a t e t h e m a x i m u m o f m i r u m u m v a l u e . W l i a t a r e t h e d o m a i n a n d r ange o f t he f u n c t i o n ? A m i n . ; ( 0 , 0 ) C m i n . ; ( - 2 . 5 , - 1 2 . 2 5 )

D : { a l l r e a l n u m b e r s } D : { a l l r e a l n u m b e r s } R : { a l l r e a l n u m b e r s } R : ( y | .V > - 1 2 . 2 5 }

B m a x . ; ( 0 , 0 ) D : { a l l r e a l n u m b e r s } R : { > ' | > ' < 0 }

D m a x . ; ( 2 . 5 , - 1 2 . 2 5 ) D : JC | x < 2 . 5 R : { a l l r e a l n u m b e r s }

2. W h i c h e q u a t i o n c o r r e s p o n d s t o t h e g r a p h s h o w n ? F y = x2 + 7 x - 1 2 H y = x2 + 5 x + 1 2 Gy=-x'^-x-\2 iy = x^ + \2x-\

I ^ - 1 2

Ac . J . V

h f _ 1 _

j T V

• - 1 ?

3. F i n d t h e e q u a t i o n o f t h e a x i s o f s y m m e t r y a n d t he c o o r d i n a t e s o f t h e v e r t e x o f t h e g r a p h o f y = 2x2 _̂ j2x + 6 . A x = - 3 ; ( - 3 , 6 0 ) C x = - 3 ; ( - 3 , 7 8 ) B x = 3 ; ( 3 , - 1 2 ) D x = 3 ; ( 3 , 6 )

4. F i n d t h e c o o r d i n a t e s o f t h e v e r t e x o f t h e g r a p h o f > ' = - 2 x 2 _ g i d e n t i f y t h e v e r t e x as a m a x i m u m o r a m i n i m u m . F ( - 2 , - 1 6 ) ; m i n i m u m H ( 2 , - 1 6 ) ; m a x i m u m G ( - 2 , 8 ) ; m a x i m u m J ( 0 , - 8 ) ; m a x i m u m

5, W h a t are t h e r o o t ( s ) o f t h e q u a d r a t i c e q u a t i o n w h o s e r e l a t e d f u n c t i o n i s g r a p h e d at t h e r i g h t ? A 2 C 0 , 4 B 3 D - 4 , 0

6, O n e r o o t o f t h e q u a d r a t i c e q u a t i o n w h o s e r e l a t e d f l m c t i o n i s g r a p h e d l i e s b e t w e e n w h i c h t w o c o n s e c u t i v e i n t e g e r s ? F - 3 a n d - 2 H - 2 a n d - l G 2 a n d 3 J 1 a n d 2

7, H o w i s t h e g r a p h o f g ( x ) = x2 - 3 r e l a t e d t o t h e g r a p h o f / ( x ) = x 2 ? A t r a n s l a t e d d o w n 3 u n i t s C t r a n s l a t e d r i g h t 3 u n i t s B t r a n s l a t e d u p 3 u n i t s D t r a n s l a t e d l e f t 3 u n i t s

8. F i n d t h e v a l u e o f c t h a t m a k e s x2 + l O x + c a pe r fec t square t r i n o m i a l . F - 2 5 G 5 H 10 J 2 5

S C O R E

1.

2.

3.

4.

7.

8.

Chapter 9 55 G l e n c o e A l g e b r a 1

NAME DATE PERIOD


9 . W l i a t v a l u e o f c m a k e s + 2Ax + c c o n t a i n a pe r f ec t square t r i n o m i a l ? A 144 B 16 C 6 4 D 4 8

10. W h i c h s tep i s not p e r f o r m e d i n t h e p rocess o f s o l v i n g - 12« - 10 = 0 b y c o m p l e t i n g t h e square? F A d d 10 t o each s ide. H F a c t o r r} - 12A? - 10 = 0 . G A d d 3 6 t o each s ide. J T a k e t h e square r o o t o f each s ide.

1 1 . W h i c h e q u a t i o n i s e q u i v a l e n t t o 2x^ - 24x - 14 = 0 ? A ( x - 6 ) 2 = 5 0 B ( x - 3 ) 2 = 13 C ( x - 3 ) ^ = 2 0

1 2 . S t a t e t h e v a l u e o f t h e d i s c r i m i n a n t o f 3^2 + 8 x = 2 . F 3 G 4 0 H 8 8

D ( x - 6 )2 = 4 3

J 100

9 .

10.

1 1 .

1 2 .

Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary.

1 3 . 4JC2 + 1 1 A : - 3 = 0 A - 2 . 4 , - 0 . 3

1 4 . y 2 + 8 y = 2 F - 8 . 2 , 0 .2

B - i , 3 4

G 8 .2 , - 0 . 2

C 0 . 3 , 2 . 4

H 0 . 3 , 7.7

15. D e t e r m i n e t h e n u m b e r o f r e a l s o l u t i o n s o f 7^2 - 18x + 12 = 0 . A 2 B i n f i n i t e l y m a n y C n o n e

1 6 d . o o k f o r a p a t t e r n i n t h e t a b l e o f v a l u e s t o d e t e r m i n e w h i c h m o d e l bes t desc r ibes t h e data .

F l i n e a r H e x p o n e n t i a l G q u a d r a t i c

17- W h i c h fimction best m o d e l s t h e da ta i n Q u e s t i o n 1 6 ? A>' = 7JC B y = 7x2

1«: I f / ( x ) = lx + 21 , f m d / • ( 1 . 5 ) . F 0 .5 G 3

C y = 7 *

H 3 5

i X W h i c h i s not t r u e a b o u t t h e g r a p h o f f(x) = I 3 x + 2 / A T h e r a n g e i n c l u d e s a l l r e a l n u m b e r s .

B I t i n c l u d e s t h e p o i n t ( - 3 , 7). C T h e d o m a i n i n c l u d e s a l l r e a l n u m b e r s . D T h e g r a p h i s " V - s h a p e d . "

J - 7 . 7 , - 0 . 3

D 1

X 0 1 2 3 y 0 7 4 9 3 4 3

J n o n e o f these

D y = 7 * + 1

20. W l i i c h p o i n t i s l o c a t e d o n t l i e g i a p h o f / ( x ) = i x + 2 i f x < 1

X + l i f x > 1 F ( - 3 , 1) G ( 0 , 1 )

1 3 .

1 4 .

1 5 .

16.

1 7 .

1 8 .

1 9 .

2 0 . H ( 2 , 0 ) J ( 3 , 3 )

B o n u s W h a t i s the e q u a t i o n o f the a x i s o f s y m m e t r y o f a pa rabo la i f i t s x - i n t e r c e p t s are - 3 and 5? B .


NAME DATE PERIOD

Chapter 10 Test, Form 2A S C O R E

fVrite the letter for the correct answer in the blank at the right of each question.

JL^HOW does t h e g r a p h o f y = + 3 c o m p a r e t o t h e p a r e n t g r a p h ? y A t r a n s l a t e d u p 3 C t r a n s l a t e d r i g h t 3

B t r a n s l a t e d d o w n 3 D t r a n s l a t e d l e f t 3 1-

X W h i c h e x p r e s s i o n h a s a d o m a i n o f {JC | Jt > 2 } ? •' F>' = V x + 2 G > ' = V J c - 2 Hy = ̂ Jx + 2 J y = V j c - 2 2.

For Questions 3-7, simplify each expression.

3. 5V3 • 2 V 2 I

A 7 0 V 3 B 1 0 V 6 3 C 4 9 V 3 D 30V7

4. _ 12

F 4 H i j ' " '

5.

6. Via - V 5 4 + 2V50

F I 3 V 2 - 3 V 6 G - 4 V 3 + 4V5 H ^ V 3 - 4 A / 5 J 8 V 2 - 3 V 6

3.

2V3 6 6 ^fl2 4.

5

v T i - V 6 A i B ^ CVTT + V 6 o W H i l V S

66 17

6.

7 . ( V 1 4 + V 3 ) ( V 6 - V l 7 ) A 2 V 5 - V 2 T + 3 ^/T6 C V 2 T

B V 2 T - 4 V 2 D V 2 I + V 2 7 .

8. S o l v e V s F ^ + 4 = 8. F 1 2 G 6 8.

9 . S o l v e V 7 a + 3 2 = a + 2 . A ^ B 7 C ^ , 7 D - 7 , 4 9_

10. A r i g h t t r i a n g l e has o n e l e g t h a t i s 7 c e n t i m e t e r s . T h e h y p o t e n u s e i s 2 5 c e n t i m e t e r s . F i n d t h e l e n g t h o f t h e o t h e r l e g . F 1 5 c m G V ^ c m H 2 4 c m J 5 V 7 c m 10.

11. D e t e r m i n e w h i c h s ide m e a s u r e s f o r m a r i g h t t r i a n g l e . A 3 , 8 , 12 B 5 , 9 , 11 C l l , 13 , 16 D 6 , 8 , 10 n ,

>r . 'Find m jdi t o t h e nea res t t e n t h i f s i n B = -. F0.5° G 1 8 . 4 ° H19.5° J 70.5° 12.

Chapter 10 51 G l e n c o e Algebra 1

NAME DATE PERIOD


13. D e t e n i i i n e w h i c h set o f m e a s u r e s c a n be d i e l e n g t h s o f t h e s ides o f a r i g h t t r i a n g l e . A 3 , 6 , 9 B l , 1 , V 2 C 3 , 3 , 4 D 1, 3 , 7 13.

W h a t i s t h e e q u a t i o n o f t h e g r a p h ? F>' = V 7 T T - 1 Uy = ^fxTl+l G y = v G F ^ - l J > ' = V F ^ + 1

15. S i m p l i f y 27^-57^-2^7. A 2 0 | y l V ^ B20^ C 20y^^ D20y^

y - i - •

—

—

0 1 1

/

—

0 1 1

I

—

0 1 1

—

14.

15.

16. W h a t i s t h e l e n g t h o f a d i a g o n a l o f a r ec t ang l e w i t h a l e n g t h o f 9 i n c h e s a n d a w i d t h o f 3 i n c h e s ? F 3 .5 i n . G 9 .5 i n . H 1 8 i n . J 9 0 i n . 16.

17. D e t e r m i n e w h i c h s ide m e a s u r e s f o r m a r i g h t t r i a n g l e . A 1 , 2 , 3 B 2 , 3 , 4 C 3 , 4 , 5 D4, 5 , 6 17.

18. L A D D E R S A 16 f o o t l adder l e ans aga ins t a w a l l . T h e base o f t h e l adde r i s 6 fee t from w h e r e t h e w a l l m e e t s t h e g r o u n d . H o w fa r up t he w a l l does t h e l adde r r e a c h ? F 14 .8 ft G 1 2 . 9 ft H 144 ft J 2 2 0 ft 18.

For Questions 1 9 and 20, the leg opposite to Z 4 in a right triangle measures 1 2 units, and the hypotenuse measures 1 9 units.

l ^ C w h a t i s s i n A } / A H

19 B i ^

12

W h a t i s A M Z ^ ? F O . O l " G32°

C 0 . 7 7 5

H 3 9 "

D 0 . 8 1 5

J 5 r

19.

20.

Bonus F i n d t h e l e n g t h o f a d i a g o n a l o f a square i f i t s a r ea i s 7 2 square m e t e r s . B .


NAME DATE PERIOD


,.lC^dentify t h e i n v e r s e v a r i a t i o n t h a t i s g r a p h e d .

Axy = 30 Cy = -30x

B x y = - 3 0 D y = 3 0 x - 1 5 - 1 0 - 5

- 5

- 1 0

- 1 5

Ky v a r i e s i n v e r s e l y asx a n d >' 0 . 8 w h e n x = 1.8, findy w h e n x = 4 . 8 . F O . l G 0 . 3

3.

4.

Sta te t h e e x c l u d e d v a l u e ( s ) o f " ^ "̂—— + 3n - 4

A - 4 , 7 B ^ , l , 7

S i m p l i f y .

F A : - 4 G - 1

5. F i n d 3 0 ^ 6 12bc^

3c B 2a^b

5c

H 2 . 1 3

C I

H fc-4 fe + 4

2a 5c

J 10 .8

D - 4 , 1

. k + 4 k - 4

D 3 c 2

S C O R E

1 .

2.

3.

4.

5.

6. F ind + 4y + 4 9y

y2 _ 4 -

, 9(y + 2) G

7. F i n d

- 9

y - 2 ~ y + 2

n ^ + 3 n - 1 0 n - 2

n j n + 5) n + 4

B (n + 5 ) ( n - 2 ) ^ (n + 3 ) ^

^ i d e n t i f y t h e a s y m p t o t e s o f y = - - 1 .

F j c = 4 , y = - 1 G x = 0 ,> ' =

lOx^ + ISx'^ - 8 A: - 12

- 1

9. F i n d 2X + 3

A + 15x + ^

B 5 x 2 - 4

H y - 2

, n + 5 n + 2

H x = 0 , y = 1

C 5 x 2 + 5 x - Y

D 5x2 - 4 15 2x + 3

- 9 8(y - 2)

D n ( n - 5)

J x = - l , y = 0

6.

7.

8.

9.

l O . F m d — + — .

Chapter 11

a t + 2 3 t - 1

H 8 t - a

3 t - 1

63 4t

10.

G l e n c o e A l g e b r a 1

NAME DATE PERIOD


11. F i n d — + .

+ 2 X - 1 3 „ x - 1 -x^ + 2 x + l 9 ( x - 4 ) 2 " x - 4 ^ [ x - 4 y " i x - i ) ^

12. F i n d x - 5 x - 5

H 6 x - i j ' " - ' ^

13. F i n d a-b a^-b^'

16. S o l v e

r r

Sx 10 7

>«:Find^ hour 1 mile 60 minutes 60 seconds

22 ft 15 s

x - 5 x - 5 5 2 * - 1 0

10 6b

4 4 _ lOa - 6ft ^, 4b ,^ 10a + 6b ^ Z B — Z T C D —z

a-b a/--b^ a-b a ^ - b^

X + 1 14. W r i t e x + j - j - ^ as a r a t i o n a l e x p r e s s i o n .

X + B r + 8 x + 8

« 2 . T « _ ^

15. S i m p l i f y

A - l ( r - l ) B ^ ^ ^ ^ c i l j L l ) ! D 3 ( r + 3 )

3^: + 1 9JC + 3 6

F 3 G - H - J -11 9 3

17. W h i c h v a l u e i s a n e x t r a n e o u s s o l u t i o n o f —̂ ;— = 1? x + l X ' ' - 4x - 5

A 5 B O C - 1 D 6 60 miles 5280 feet 1 hour 1 minute

G 6 8 ft/s H 5 2 8 0 m i / m i n J 8 8 f V s

19. A R T V a n e s a i s s c u l p t i n g s ta tues w h i c h r e q u i r e a b o u t ^ c u b i c f o o t o f c l ay . I f she h a s 2 c u b i c y a r d s o f c l a y , h o w m a n y s ta tues c a n V a n e s a m a k e ?

A 9 B 2 4 3 C 2 7 D 7 2 9

20. P H Y S I C S T h e f o r m u l a — = — + — + — rep re sen t s t h e t o t a l r e s i s t ance o f a c i r c u i t .

W h a t i s / ? ! ifRr = 2 .5 o h m s , / ? 2 = ' 0 o h m s , a n d / ? 3 = 5 o h m s ?

F 17.5 o h m s G 2 .5 o h m s H 10 o h m s J 7 o h m s

B o n u s F i n d t h e v a l u e o f k so t h a t x + 1 i s a f a c t o r o f 3 x ^ - 2x^ +x + k.

Chapter 11 64

11.

12.

13.

14.

15. ^

16.

17.

18.

19.

20.

B .

Glencoe Algebra 1

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