gh answers for haiku page principles of math

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




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




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.




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




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.




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




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




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




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




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




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




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




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




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




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

gh answers for haiku page principles of math

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