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Chapter 5 â Using Ratios, Rates and Proportions. Answer Key. CK-12 Middle School Math Concepts - Grade 7. 3. 5.8. Slope of a Line Using Two Points. ...
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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
1
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
2
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
3
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
4
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
5
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
6
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