gh answers for haiku page principles of math
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8/2/2019 GH Answers for Haiku Page Principles of Math
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Foundations for Algebra: Year 1 Chapter 7 Answers page 1
Chapter 7
GH-1. a) less than 1 b) greater than 1 c) less than 1
GH-2.1
4+
2
4=
3
4
GH-3.a)
1
4+
1
2
b) The fourths were superimposed on thehalf, and the half was superimposed onthe fourths.
c)2
8+
4
8d) Figure B is correct;
6
8or
3
4; Figure A
overlapped the two fractions.
GH-4.3
12+
4
12=
7
12
GH-5.a)
8
12 –
3
12=
5
12b)
4
6 –
3
6=
1
6
GH-6.a)
17
20b)
5
6c)
11
12d)
1
12e)
5
12f)
3
10
GH-7.a)
7
6= 1
1
6pounds b)
1
6pound
GH-8.a)
2
12+
9
12=
11
12of a quart b)
7
12more
GH-9.a)
8
15b)
2
15more of the garden
GH-10. a) 0.5 cm b) 1,520,000 mi.
GH-11. a) 30 square in. b) 84 square m
GH-12. a) 99 b) -3c)
3
2or 1
1
2
d) 26
GH-13. a) -12 b) -12 c) -12
GH-16.a)
7
10b)
19
20c)
7
12d)
1
10e)
4
15
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Foundations for Algebra: Year 1 Chapter 7 Answers page 2
GH-18.a)
3
6=
1
2b)
5
6c)
11
8= 1
3
8
d)13
18e)
9
12=
3
4f)
19
40
GH-19. a) 24 b)
19
24
GH-20.a)
21
24 –
8
24=
13
24lb b)
1
2lb
GH-21.a) 2
7
8pizza b) yes;
1
8of a pizza
GH-22.a)
1315
b)1120
c) 116
GH-23.a)
11
12b)
1
12
c) 1100 d) 12,100
GH-24. a) -1 b) 4 c) 17 d) 71 e) 80
f) -80
95or
-16
19
GH-25. a) 66 square units b) 72 square units
GH-26.a)
2
3b)
1
2c)
2
3
d) 2e)
4
3
f) 2
GH-27. 1032 inches in 60 minutes
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Foundations for Algebra: Year 1 Chapter 7 Answers page 3
GH-30.a) 9
5
6b) 7
11
12c) 7
8
15d) 8
7
8
GH-31.a)
5
6b)
11
12c)
14
15d) 1
1
4
GH-32. First picture: 2032 = n100 ;
62.5%
Second picture: 5.586 = n100 ; 93%
GH-34.a) 11
5
6b) 3
1
3c) 8
11
12d) -3
7
10
GH-35. a) 12 b) -14 c) 16 d) -4
GH-36. a) 264 square m b) 360 square m
GH-37. a) 135 days b) 4
2
3days
c) 106 minutes and 40 seconds d) 120 minutes (or 2 hours)
GH-38. a) 2s; 7 b) 3c)
1
2e)
7
2= 3
1
2
d) There are three whole 2s and 1 left over, or 1
2of two is left.
GH-39. a) 12 b) 12 c) 12d) Each asked the same question in a different way.
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Foundations for Algebra: Year 1 Chapter 7 Answers page 4
GH-40. f)2
4and
4
8are possible answers.
GH-41. a) 2 b) 3 c) 15
GH-42. d)3
8
GH-43. d)1
2of
5
8=
5
16
GH-44.c)
1
3of
1
2d)
1
6e)
5
6
GH-45. b)1
2of
3
4of all the cars are white sedans, or
1
2·
3
4=
3
8.
GH-46.a)
1
4of
1
2=
1
8
b)1
2of
1
4=
1
8
c)1
3of
2
3=
2
9
d)5
8of
1
3=
5
24
GH-47. Yes; they are the same because both rectangles are cut into 15 pieces, 2of which are shaded. Mathematically, the Commutative Property of Multiplication justifies this result.
GH-48.a)
11
15b)
13
12= 1
1
12c)
1
10
GH-49. a) 88 b) -19 c) -1 d) 29
GH-50. a) 19 b) 1 c) -1 d) 7
GH-51. a) -35 b) 2 c) -35 d) 2
GH-52.4
20=
1
5, or one out of five chances
GH-53. a) $336 b) 25% c) $100
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Foundations for Algebra: Year 1 Chapter 7 Answers page 5
GH-54. a)1 0
2
3 8
4 5
5 4
6 5 5 8
7 0 2 3 5 7
8 5 5 5 6 9
9 0 1 2
b) mean: 70.75median: 74mode: 85
c) 74, the median.The outlier lowersthe mean, which would be73.95 for the other 19 scores.
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Foundations for Algebra: Year 1 Chapter 7 Answers page 6
GH-55.a)
b)
1
8= 12.5%;
3
8= 37.5%;
5
8= 62.5%;
7
8= 87.5%
GH-56. b) how many parts in thewhole
c) how many parts are double-shaded
GH-57.a)
35
48b)
8
65c)
36
49
d)12
56=
3
14e)
6
22=
3
11f)
72
42=
12
7
GH-59. 1376
GH-60. c) 1 +
1
2 +
1
2 +
1
4 = 2
1
4
GH-61. 33
4square feet
GH-63. a) 2 b) 8
1
3c) 6
1
4d) 3
1
8
GH-64.a)
63
8= 7
7
8b) 3
1
3c) 4
4
9
GH-66. a) 4 b) 5 · 4 = 20 c) 20
GH-67.a) 3 ·
1
4· 24 = 18 b) 3 ·
1
8· 32 = 12 c) 4 ·
1
7· 35 = 20
GH-68.2
3· 54 = 36
GH-69. a) $21 b) $32 c) $52.50
GH-70. a) 54sq. m
b) 25.5 sq. m c) 35 sq. in. d) 12 sq. in.
GH-71. a) 24 b) 29 c) 66 d) 55
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Foundations for Algebra: Year 1 Chapter 7 Answers page 7
GH-72.c)
2
3d) No;
5
8is close to
2
3.
e) Yes; 20% is nearer to1
4.
f) Answers vary.
GH-73. Length a is 51
8
, b is 83
4
, and c is 5.
GH-74. 11
2inches by 3
1
2inches
GH-75.3
4inches by 1
3
4inches
GH-76. 13
4inches by 1
5
6inches
GH-77. One should be cut at 351
8inches, two at 80
1
4inches, and two at 81
3
4inches.
GH-78.a) 14
1
4inches b) 47
1
4inches c) 45
3
8inches
GH-79.a)
1
2b)
3
5c)
4
9
GH-80.a) 2
13
16b) 11
2
3c) 5
5
8d)
27
64
GH-81. a) xy = 20; x + y = 9 b) xy = -15; x + y = -2
c) y =1
2; xy =
1
4d) x =
1
2; x + y =
3
4
GH-82. a) 4 12 b) 2 1120 c) 6 712 d) 4415 or 2
14
15
GH-83. a) 20 b) 12
GH-84. a) 2 b) 5
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Foundations for Algebra: Year 1 Chapter 7 Answers page 8
GH-85.a) Yes; it was
1
2and 50%. b)
1
4; 25%
c)1
8; 12
1
2%
GH-86. a) 3 b) 9 c) 20 d) 18 e) 30 f) 21
GH-87. a) How many one-fourths are in 2? or 2 ÷1
4= 8
b) How many one-halves are in 5? or 5 ÷1
2= 10
c) How many one-fifths are in 3? or 3 ÷1
5= 15
GH-88. a) 2 b) half
c) It makes sense because there are 212 sets of 4 in 10.
GH-89. a) How many one-halves are in three-fourths? b) 1 c) half
d) It makes sense because there are 11
2 sets of 1
2in
3
4.
GH-90. a) How many 3s are in 8? b) 2
c) 23
e) 83
= 2 23
GH-91. a) 2 b) 4
1
2c) 1
1
2d) 3
1
2e) 5
1
2f) 4
1
2
GH-92. a) 1 b)
5
1c)
2
3
d) 2, 5
e) Each problem consists of a fraction multiplied by its reciprocal.
GH-93. C
GH-94. a)5
1,
3
2, and
5
4
GH-95. a) 2 b) 3 c) 4 d) 12
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Foundations for Algebra: Year 1 Chapter 7 Answers page 9
GH-96. Ingredient 1 Loaf 2 Loaves 3 Loaves 8 Loaves
warm milk 1
1
82
1
4Tbs. 3
3
8
9
active dry yeast3
8
3
4tsp. 1
1
8
3
room-temperaturewater
1
3
2
3cups
12
2
3
olive oil
3
41
1
2Tbs. 2
1
4
6
bread flour 1
1
82
1
4cups 3
3
8
9
salt5
81
1
4tsp. 1
7
8
5
GH-97. no
GH-98. First picture:n
6.5=
55
100; 3.575
Second picture: 7% of what is $3.45?$3.45
n=
7
100; $49.29
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Foundations for Algebra: Year 1 Chapter 7 Answers page 10
GH-100. a) 8 b) 4 c) 8; 12 d) 24
GH-101. $66
GH-102. a) 3 b) 7 c) 15 ÷ 5 = 3; 56 ÷ 8 = 7
GH-103. a) 8 b) 4 ÷1
2 = 8 c) 12 d) 3 ÷1
4 = 12
GH-104. a) 4 b) 3 ÷
3
4= 4 c) 1
1
3d) 1 ÷
3
4= 1
1
3=
4
3
e) 22
3f) 2 ÷
3
4= 2
2
3
GH-105. 6
2
3
GH-106.a) 5
1
3b) 1
1
3
GH-107.a)
20
3=
62
3
b) They are the same. Ahmal changed his units to1
4s by multiplying by 4; Malik did it by using a
Giant 1.
GH-108. 41
2
GH-109. 31
3
GH-110. a) 0 b) 0 c) 6 d) 40 e) -6 f) 33
GH-111. a) 61,765.2 pounds b) 30.9 tons
GH-112.a) 47
11
16b) 14
3
8
GH-114.a) 70
2
5b) 49
1
6c) -3
1
2d) 7
3
4
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Foundations for Algebra: Year 1 Chapter 7 Answers page 11
GH-116.a)
20
6=
10
3b)
12
12= 1 c)
4
5
1
2
4
5
1
2
2
1
2
1
8
5
GH-117. b) 7
1
2c) 7
1
2
GH-118.a) 5
3
b) 10c) 1 1
4
GH-119. a) There are many possibilities. b) The divisor is inverted (turned upside down).
GH-120.a)
9
10b)
7
2= 3
1
2
GH-121. $135
GH-122.a) 4
1
2b) 2
1
2c) 1
1
3d) 5
1
3
GH-123. a) 5 b) 5
GH-124. a) (-3, 0), (-2, 1), (-1, 2), (0, 3), (1, 4), (2, 5), (3, 6) b) y = x + 3 c) (4, 7) and (-4, -1), for example
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Foundations for Algebra: Year 1 Chapter 7 Answers page 12
GH-125.a)
1
4, 0.25 b)
1
20,
5
100, 0.05
c)2
20,
1
10, 0.1 d)
1
100, 0.01
GH-126. b)4
100 ; 0.04 c)1
10 ·4
10 =4
100
d) 0.1 · 0.4 = 0.04 e) 4 cents or $0.04
GH-127. b)
8
10·
7
10=
56
100kg
c) 0.8 · 0.7 = 0.56 kg d) less
GH-128. a)
3
10 ·
6
10 =
18
100 ; 0.3 · 0.6 = 0.1 b)
5
10 ·
4
10 =
20
100 ; 0.5 · 0.4 =0.20
c)2
10·
7
10=
14
100; 0.2 · 0.7 = 0.14
GH-129. a) 2; 0.3; 0.8; 0.12 b) 2 + 0.3 + 0.8 + 0.12 = 3.22
GH-130. a) 30.55 b) 16.72
GH-131. 10.126 meters
GH-132.a)
3
10·
16
100=
48
1000
b) 0.3 · 0.16 = 0.048 d) 2, 2; 2, 2; 2, 2
e) The number of digits to the right of the decimal in the answer must equalthe sum of the number of decimal places (of the factors) in the problem.
GH-133.a) 2
310
· 56
100; 10 · 100 =
1000
b)4
1000· 3
42100
; 1000 · 100 = 100,000
GH-134. a) 0.75 b) 0.125 c) 0.7 d) 0.8 e) 0.8 f) 3.142857
GH-135. a) 0.04 b) 0.006 c) 0.28
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Foundations for Algebra: Year 1 Chapter 7 Answers page 13
GH-136. a) xy = 0.12; x + y = 0.7 b) x = 0.2; x + y = 0.5c) xy = 0.6; x + y = 1.7 d) xy = 0.96; x = 1.2e) xy = 1.56; x + y = 5.5
GH-137.
GH-139. a) 32 b) 16 ÷
1
2= 32
GH-140.a)
160
5
b) 32
GH-141. Answers: 2; 40,000; 20.5; 4; 40.2
GH-142. a) 10 b) 1.6 c) 197
GH-143. b) 63
GH-144. 11
8inches
GH-145. a) (0.3)(0.04) = 0.012 b) 5.13 + 12.6 = 17.73c) 47.7 – 23.19 = 24.51 d) (0.20)(0.065) = 0.013e) 1.4 + 0.14 = 1.54
GH-146. a) decimal in wrong place;5.0
b) decimal points not aligned;469.213
c) subtracted incorrectly;37.163
d) decimal in wrong place;0.003702
e) 0 not added to firstnumber; 3971.32
f) decimal points not aligned;78.473
GH-147. a) 3 b) 2
GH-148. a) 59.5 b) 69.28 c) 35.38 d) 0.34e) 134.12 f) 37.431
GH-149. two 127
8x 15 and three 11
3
8x 12
7
8
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Foundations for Algebra: Year 1 Chapter 7 Answers page 14
GH-150. a) 3 out of 15 or 1 out of 5 or 20% b) 14 c) 4 out of 14
GH-151. a = 35
8; b = 4 inches
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Foundations for Algebra: Year 1 Chapter 7 Answers page 15
GH-153. a) One is a rectangle; the other is a rectangle with a missing corner. b) See diagrams below (all dimensions are in feet).
61
2
61
2
71
2
10
4
31
2each 6
1
2
c) 421
4square feet; 62
3
4square feet
d) 105 square feete) 6
1
2by 3
1
4feet
f) 105 square feet; $378 g) $404.46
GH-154. b) 202
1
2+ 50 = 252
1
2
c) $353.50
d) No; 400 tiles cost $392, so it will cost an additional $38.50.
GH-155. b) 1433
4square feet, 156 square feet
c) 4553
4square feet
d) $1276.10
GH-156. a) It is a rectangle with dimensions 93
4feet by 7
1
2feet.
b) 7318
square feetc) $380.25
GH-157. b) 320 · 3.84 = $1228.80 c) 17.5 square feetd) $67.20
GH-158. a) A = 13 feet along the kitchen; B = 14 feet along the hall
b) 223
4feet c) 25(22
3
4) – 15(13) = 568
3
4sq. feet
d) 31
2 + 21
4 + 12 = 173
4
feet
e) 481
2 · 173
4 = 8607
8 sq. feet
f) 281
2· 12 = 342 sq. feet; 9
1
2· 2
1
4= 21
3
8sq. feet
g) 8607
8 – 342 – 21
3
8= 497
1
2sq. feet h) 871
2
5sq. feet
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Foundations for Algebra: Year 1 Chapter 7 Answers page 16