Unit A Homework Helper Answer Key

Copyright ? by Pearson Education, Inc., or its affiliates. All Rights Reserved.

Unit A Homework Helper Answer Key

Lesson 1-1

Equivalent Ratios

1.

7

to

17,

7

:

17,

and

7 17

2.

7

to

17,

7

:

17,

and

6 11

3. C

4. 35

72

5.

1 2

6.

1 4

7.

a.

7

to

3,

7

:

3,

and

7 3

b. Answers will vary.

8.

23

to

41,

23

:

41,

or

23 41

9. 12

10. a. D

b. D

11.

8 9

12.

a.

4 7

b. Answers will vary.

13. a. a common factor

b. C

14.

a.

7 18

b. Answers will vary.

c. Answers will vary.

15. a. E

b. A

16. a. There are 200 teddy bears in the store.

b. Answers will vary.

17. a. A

b.

3 16

18. The team had 12 three-point tries.

19.

5 12

Lesson 1-2

Unit Rates 1. 695 km/hr 2. 22 meters per second 3. 4 eggs/hen 4. $5.89 5. The 18-oz package of rice is the best buy.

6. 1,380 people 7. $8.75 8. a. 23 miles per gallon

b. Answers will vary. c. Answers will vary. 9. a. 20 mm/min b. Answers will vary. c. Answers will vary. 10. a. $1.23 b. D 11. Company C 12. a. Answers will vary. b. $0.21 13. a. 330 sec b. 320.74 sec 14. $0.70/mile 15. $33.82 16. $5.70 17. a. C b. 14-ounce 18. A package of the 6.5-oz cans is the best buy. 19. a. 25 b. 12 c. 10

Lesson 1-3

Ratios With Fractions

1.

1 12

2. 12

3.

119 2

4.

4 5

5.

5 21

6.

34 25

7.

2 3

8.

1 32

9.

a.

5 6

b. Answers will vary.

10.

a.

10 3

b. Answers will vary.

digits

1

Grade 7

Copyright ? by Pearson Education, Inc., or its affiliates. All Rights Reserved.

Unit A Homework Helper Answer Key

11.

a.

1 16

b. A

12.

a.

9 2

b.

2 9

13.

3 28

14.

1 10

15. 44

16. a. B

b.

22 25

17. a. least common multiple,

denominators

b.

70 9

18.

a.

7 18

b.

1 9

19.

a.

8 3

b.

64 9

Lesson 1-4

Unit Rates With Fractions

1.

3 32

2. a. 39 pages/hr

b.

1 39

hr/page

3. 2 in./min

4. a. 514 b. Answers will vary.

5. 13 mi/hr

6. 3045 mi/gal 7. a. 2825 in./hr

b. 34 mi/gal

c. red

8.

a.

1 2

in./hr

b.

1 3

in./hr

c. scented

d. Answers will vary.

9. a. 120

b. 480

10.

a.

1 12

cup

of

milk/muffin

b. 12 muffins/cup of milk

c. Answers will vary.

11. a. A

b.

1 6

c. 6

12. a. 4 lb/qt

b. D

13. a. 3134 mi/hr b. Answers will vary.

14.

a.

5 48

hr/task

b. 935 tasks/hr

c. Answers will vary.

15. a. 115 in./ft b. Fence B is 6 in. long on the blueprint.

16. a. A

b. 2190 17. a. 2212 lb of the wood/yd2

b. 6712 lb of the wood in all 18. a. Noah was 416 mi/hr.

b. Emily was 412 mi/hr. c. Anna was 423 mi/hr.

d. Anna ran the fastest.

e. Answers will vary.

Lesson 1-5

Problem Solving

1.

a.

4 9

b.

16 81

2. 40 min to get to the campsite

3. 1313 cups of ingredient B 4. a. 256 ft of redwood

b. Answers will vary.

5.

a.

1 54

b. D

6.

a.

1 9

b.

1 81

c. Answers will vary.

7. a. Yes

b. Answers will vary.

digits

2

Grade 7

Copyright ? by Pearson Education, Inc., or its affiliates. All Rights Reserved.

Unit A Homework Helper Answer Key

8. a. about 30 min to travel 4190 km b. 2911011 min to travel 4190 km

9. a. B

b. 24

c. 2225 d. Friday

10.

1 9

11. a. 213 tsp of mustard seeds

b. 712 c of beans

12. a. C

b. 3190 13. Ari, Cindy, Beth

14. 60 pieces of chicken

916 lb of deli meat 2678 lb of lasagna

Lesson 2-1

Proportional Relationships and Tables

1.

213,

23 1

2. does not

3. is proportional

4. is proportional

5. a. does

b. Answers will vary.

6. a. division

b. 14

c. 512 d. 512

7. a. does not

b. Answers will vary.

8.

a.

10 1

10

1

10

1

10

1

b. She found and simplified x y.

9. a. B

b. No

10. a. 5

21

7 1 7 1

b. Answers will vary.

11.

1 16

234

1

4

1

4

12. does not

13. a. is proportional

b. Answers will vary.

Lesson 2-2 Proportional Relationships and Graphs

1. A 2. D 3. 100 boxes 4. a. B, C

b. A, C 5. D 6. a. y 13x

b. A 7. a. If a graph of the equation is a

straight line that passes through the origin, or if y is a constant multiple of x, the relationship is proportional. b. Yes 8. a. B, C b. 5 9. a. Brand A has 140 cal/cup. b. Brand B has 180 cal/cup. c. Brand A d. Answers will vary.

Lesson 2-3

Constant of Proportionality 1. 5 2. 13 3. 13 wins/loss 4. The table shows a proportional relationship. The constant of proportionality is 18.

digits

3

Grade 7

Copyright ? by Pearson Education, Inc., or its affiliates. All Rights Reserved.

Unit A Homework Helper Answer Key

5. a. 420 mph b. 11 hr

6. a. 19 b. 247

7. a. 9 b. A

8. a. 9.5 b. x 43 c. Answers will vary.

9. a. B b. 19 c. 171

10. a. C b. 50 c. 650

11. a. 18 b. C

12. a. A constant of proportionality for price for Store A is $7.25/qt. The constant of proportionality for coverage for Store A is 85 ft2/qt.

b. A

Lesson 2-4

Proportional Relationships and Equations

1.

5 7

2. 12 ft

3. y 8x

4. $26.25

5. y 2.05x

6. 319 cal

7. 77

8. 60 g of zinc

9. a. 8

b. Answers will vary.

10. a. 266 mi

b. Answers will vary.

11. a. 6.41

b. Answers will vary.

12. a. B b. 21 c. Answers will vary.

13. a. 535 b. D

14. $33.00 15. a. B, C

b. 450 mL 16. a. A, D

b. y 14x 17. a. 16

b. y 16x 18. a. 2223 mi

b. 40 mi

Lesson 2-5

Maps and Scale Drawings

1. 40 mi

2. 15 ft

3. 220 m2

4. a. length: 10.8 in.

width: 7.2 in.

b. Answers will vary.

5.

a.

5 2

b. 50

c. 25

6. a. C

b. 16.8

c. 14.4

7. a. 8 ft

b. A

c. Answers will vary.

8. a. C, F

b. 585 mi

9. 36 feet

10. 400 miles

11. a. 934 km b. 1614 km

12. $420.00

digits

4

Grade 7

Copyright ? by Pearson Education, Inc., or its affiliates. All Rights Reserved.

Unit A Homework Helper Answer Key

Lesson 2-6

Problem Solving

1. your map

2.

a.

y

8 9

x

b. No; explanations will vary.

3. 291

4. a. 96 km

b. B

5. a. y 185x b. Yes

c. 2818 oz 6. would not, explanations will vary.

7. a. y 7.46 2.52x

b. No

c. $22.58

8. 1 can

9. a. y 58 5x

b. No

c. 33

d. A

10. a. C

b. Brittney's

Lesson 3-1

The Percent Equation 1. percent 2. percent 3. 25% 4. 20% 5. 48 6. 800 7. 30 8. 120 9. Whole

10. a. 18 b. Answers will vary. c. Answers will vary.

11. a. 14 b. C

12. 55%

13. a. B b. 65%

14. a. 456,000 b. Answers will vary.

15. a. part b. percent

16. a. 25% b. 5%

17. a. B b. 3

18. a. D b. 92%

19. 3,500 20. a. 4,600

b. Answers will vary.

Lesson 3-2

Using the Percent Equation 1. a. $1.60 b. $41.60 2. $37.50 3. $10,250 4. a. $21.60 b. $698.40 5. $9,500 6. a. $54 b. $654 7. $21.00 8. a. $1,320 b. Answers will vary. 9. a. $1,008 b. $52,416

10. a. A b. A

11. a. D b. $38.42

12. a. 8% b. Answers will vary.

13. a. $21,010.00 b. $6,303.00

14. a. $21/hr b. B

digits

5

Grade 7

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