Answer Key

Chapter 5 – Using Ratios, Rates and Proportions 5.1

Answer Key

Equivalent Ratios

Answers 1. yes

2. No

3. No

4. Yes

5. Yes

6. No

7. yes

8. No

9. No

10. Yes

11. Yes

12. No

13. yes

14. Yes

15. No

5.2

Ratios in Simplest Form

Answers 1. 1 to 2

2. 1 : 4

3. 9 to 11

4. 9/10

5. 5/11

6. 1 to 7

7. 9 to 5

8. 3 to 1

9. 2 : 1

10. 3 to 2

11. 1 to 2

12. 6 to 1

13. 3 : 1

14. 8 to 1

15. 3/2

5.3

Comparison of Ratios in Decimal Form

Answers 1. .25

2. .5

3. .75

4. 1.6

5. .25

6. .8

7. .09

8. .75

9. .36

10. .3

11. .75

12. .43

13. >

14. <

15. =

5.4

Identification and Writing of Equivalent Rates

Answers 1. 1 for $5

2. 1 for $5

3. 1 for $2.50

4. 1 for $2.50

5. 1 for $9.00

6. 1 for $4.00

7. 1 mile in 2 minutes

8. 5 miles in 1 hour

9. 5 feet in 1 minute

10. 2 pounds in 1 week

11. 1/5

12. 1/5

13. 1/5

14. ½

15. 9/1

CK-12 Middle School Math Concepts - Grade 7

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Chapter 5 – Using Ratios, Rates and Proportions 5.5

Answer Key

Unit Rates

Answers 1. 1 for $5

2. 1 for $5

3. 1 for $2.50

4. 1 for $4

5. 9 for $1

6. 1 for $4

7. 1 mile in 2 minutes

8. 5 miles in 1 hour

9. 5 feet in 1 minute

10. 2 pounds in 1 week

11. 2 pounds for $1.00

12. 6 miles in 1 hour

13. 3” for $1.00

14. 15 miles per gallon

15. 50 miles in 1 hour

5.6

Comparison of Unit Rates

Answers 1. yes

2. No

3. Yes

4. $3.00 per gallon

5. .69 for 1

6. 160 per hour

7. $1.25 per square foot

8. 62 per minute

9. .30

10. .28

11. 12 ounce/2 cents

12. 47 mph

13. 51 mph

14. Amy

15. 4 mph

5.7

Slope

Answers 1. Positive

2. 0

3. Negative

4. 0

5. Positive

6. 0

7. Negative

8. Positive

9. Negative

10. Negative

11. no

12. False

13. True

14. True

15. True

CK-12 Middle School Math Concepts - Grade 7

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Chapter 5 – Using Ratios, Rates and Proportions 5.8

Answer Key

Slope of a Line Using Two Points

Answers 1. 3/2

2. 0

3. -7/3

4. 0

5. 3/2

6. 0

7. -7/3

8. 4/5

9. -2/1

10. -7/5

11. -4/3

12.

13. Positive

14.

15. Negative

CK-12 Middle School Math Concepts - Grade 7

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Chapter 5 – Using Ratios, Rates and Proportions 5.9

Answer Key

Proportions

Answers 1. yes

2. Yes

3. No

4. Yes

5. No

6. No

7. yes

8. No

9. a = 5

10. x = 1

11. n = 14

12. z = 4

13. t = 36

14. k = 30

15. x = 16

5.10

Proportions with Variables in the Numerator

Answers 1. 4

2. 10

3. 12

4. 4

5. 8

6. 10

7. 7

8. 9

9. 5

10. 6

11. 9

12. 2

13. 9

14. 18

15. 2.25

5.11

Proportions Using Cross Products

Answers 1. 3

2. 6

3. 20

4. 3.5

5. 2.5

6. 18

7. 5

8. 4.5

9. 12

10. 15

11. 25

12. 18

13. 9

14. 49

15. 4

16. 42.5

5.12

Proportions with Variables in the Denominator

Answers 1. 10

2. 30

3. 14

4. 42

5. 99

6. 48

7. 34

8. 30

9. 45

10. 7.5

11. 9.5

12. 12.5

13. 54

14. 24

15. 11.5

CK-12 Middle School Math Concepts - Grade 7

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Answer Key

Chapter 5 – Using Ratios, Rates and Proportions 5.13

Scale Distances or Dimensions

Answers 1. 5”

2. 20”

3. 30”

4. 7 cm

5. 14 cm

6. 21 cm

7. 3”

8. 6”

9. 2 cm

10. 1 cm

11. 4” x 3.5”

12. 12 m

13. 344 miles

14. 18 mm

15. 1670 ft.

5.14

Unit Scale to Find Actual Distances

Answers 1. 200 miles

2. 300 miles

3. 25 miles

4. 1000 miles

5. 1100 miles

6. 1250 miles

7. 50 miles

8. 525 miles

9. 40 miles

10. 80 miles

11. 170 miles

12. 380 miles

13. 260 miles

14. 10 miles

15. 30 miles

5.15

Scale Factor to Find Actual Dimensions

Answers 1. 10 cm

2. 20 cm

3. 20 cm

4. 10 cm

5. 1.5”

6. 3”

7. 4000 cm

8. 80 mm

9. 8 cm

10. 4”

11. 1.5 mm

12. 108 ft.

13. 6660 ft.

14. a. 7.5 m

b. 5.1 m

15. a. 5 m x 4 m b. 20 sq. m

CK-12 Middle School Math Concepts - Grade 7

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Chapter 5 – Using Ratios, Rates and Proportions 5.16

Answer Key

Problem Solving Plan, Proportions

Answers 1. 4

2. Lionel

3. 44 miles

4. .83 m

5. 125 students

6. Brand x

7. 6 miles

8. 20 miles

9. 2”

10. 6”

11. 8 ft.

12. 6 ft.

13. 9 ft.

14. 4 ft.

15. 3”

5.17

Conversion Using Unit Analysis

Answers 1. 5280 ft.

2. 97,680 ft.

3. 3750 mL

4. 18,250 mL

5. 6000 pounds

6. 5000 pounds

7. 9,500 pounds

8. 54 feet

9. 48 inches

10. 105 inches

11. 29,500 mL

12. 4 ounces

13. 108 inches

14. $4.50

15. 8 pints

CK-12 Middle School Math Concepts - Grade 7

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