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**Short Answer**

*Write each ratio as a fraction in simplest form.*

1. 45:315

2. 57 inches:95 inches

*Determine whether the ratios are equivalent.*

3. and

4. 17 ft:10 in. and 85 ft:40 in.

*Find each unit rate. Round to the nearest tenth if necessary.*

5. $253 for 20 hours

6. 482 students to 20 teachers

7. 238 gifts wrapped in 45 minutes

8. 159 miles in 6.5 gallons

*Choose the best unit price.*

9. $6.99 for 4 pounds or $9.95 for 6 pounds

10. $1.99 for 8.5 ounces or $2.49 for 10.5 ounces

11. recordable CDs sold in packages of 10 for $8.39, 50 for $22.49, or 125 for $45

*Solve each proportion. Show your work.*

12.

13.

14.

*Write each percent as a fraction in simplest form.*

15. 19.5%

16. 61

1

2

%

*Write each fraction as a percent. Round to the nearest hundredth if necessary.*

17.

18.

*Write each percent as a mixed number or fraction in simplest form.*

19. 325%

20. 0.63%

*Write each percent as a decimal.*

21. 132%

22. 0.42%

*Write each number as a percent.*

23. 19

24. 0.0045

*Write each fraction as a percent.*

25. 5

1

2

1

26.

200

*Find each number. Round to the nearest tenth if necessary.*

27. What is 50% of 280?

28. 110 is 22% of what number?

29. What is 145% of 90?

30. What percent of 200 is 1.6?

31. 7.6 is what percent of 80?

*Suppose you are making a scale drawing. Find the length of each object on the scale drawing with the given scale. Show your work.*

32. a backyard fence 80 feet long; 1 inch = 10 feet

33. a train car 24 feet long; 3 inches = 8 feet

34. a water slide 18 meters high; 3 cm = 4.5 m

**SHORT ANSWER**

1. ANS:

1

7

Sample:

26 to 104

Write the ratio as a fraction and simplify by dividing out common factors.

PTS: 1 DIF: Basic

STA: NSO.7

MSC: 1999 Lesson 8-1

OBJ: 7-1.1 Write ratios as fractions.

TOP: Write ratios as fractions. KEY: Ratios | Fractions

2. ANS:

3

5

Sample:

34 yards to 136 feet

First, write 34 yards in terms of feet so that both terms of the ratio are in the same unit.

34(3) = 102 feet

Write the ratio as a fraction and simplify by dividing out common factors.

PTS: 1 DIF: Average

STA: NSO.7

MSC: 1999 Lesson 8-1

OBJ: 7-1.1 Write ratios as fractions.

TOP: Write ratios as fractions. KEY: Ratios | Fractions

3. ANS: no

Sample:

and

Reduce each ratio to simplest form to determine if they are equivalent.

The ratios are equivalent.

PTS: 1

STA: GSS.6

DIF: Average

KEY: Ratios | Equivalent ratios

OBJ: 7-1.2 Determine whether two ratios are equivalent.

TOP: Determine whether two ratios are equivalent.

MSC: 1999 Lesson 8-1

4. ANS: no

Sample:

14 ft:7 in. and 42 ft:21 in.

Write each ratio as a fraction. Then reduce the ratios to simplest form to determine if they are equivalent.

The ratios are equivalent.

PTS: 1

STA: GSS.6

DIF: Average

KEY: Ratios | Equivalent ratios

OBJ: 7-1.2 Determine whether two ratios are equivalent.

TOP: Determine whether two ratios are equivalent.

MSC: 1999 Lesson 8-1

5. ANS:

$12.65/hour

The unit rate is the amount earned for 1 hour.

$253 ÷ 20 = $12.65/hour

PTS: 1 DIF: Average

STA: GSS.6

MSC: 1999 Lesson 8-2

OBJ: 7-2.1 Determine unit rates.

TOP: Determine unit rates. KEY: Unit rate | Ratios

6. ANS:

24.1 students/teacher

The unit rate is the number of students per 1 teacher.

482 ÷ 20 = 24.1 students/teacher

PTS: 1 DIF: Average

STA: GSS.6

MSC: 1999 Lesson 8-2

OBJ: 7-2.1 Determine unit rates.

TOP: Determine unit rates. KEY: Unit rate | Ratios

7. ANS: about 5.3 gifts/minute

The unit rate is the number of gifts wrapped in 1 minute.

gifts/minute

PTS: 1 DIF: Basic

STA: GSS.6

MSC: 1999 Lesson 8-2

OBJ: 7-2.1 Determine unit rates.

TOP: Determine unit rates. KEY: Unit rate | Ratios

8. ANS: about 24.5 miles/gallon

The unit rate is the number of miles in 1 gallon.

miles/gallon

PTS: 1 DIF: Average

STA: GSS.6

MSC: 1999 Lesson 8-2

OBJ: 7-2.1 Determine unit rates.

TOP: Determine unit rates. KEY: Unit rate | Ratios

9. ANS:

$9.95 for 6 pounds

Find each unit price to see which is lower.

/pound

/pound

$9.95 for 6 pounds has a better unit price.

PTS: 1 DIF: Basic

STA: GSS.6

MSC: 1999 Lesson 8-2

OBJ: 7-2.2 Choose the best unit prices.

TOP: Choose the best unit prices. KEY: Unit price | Ratios

10. ANS:

$1.99 for 8.5 ounces

Find each unit price to see which is lower.

/ounce

/ounce

$1.99 for 8.5 ounces has a better unit price.

PTS: 1 DIF: Average

STA: GSS.6

MSC: 1999 Lesson 8-2

OBJ: 7-2.2 Choose the best unit prices.

TOP: Choose the best unit prices. KEY: Unit price | Ratios

11. ANS:

10 for $45

Find each unit price to see which is lowest.

/CD

/CD

/CD

125 for $45 has the best unit price

PTS: 1 DIF: Average

STA: GSS.6

MSC: 1999 Lesson 8-2

OBJ: 7-2.2 Choose the best unit prices.

TOP: Choose the best unit prices. KEY: Unit price | Ratios

12. ANS:

6

Sample:

Cross multiply and solve for

*x*

.

PTS: 1 DIF: Basic

STA: GSS.6

MSC: 1999 Lesson 8-3

OBJ: 7-3.1 Solve proportions.

TOP: Solve proportions. KEY: Proportions | Solving proportions

13. ANS:

13

Sample:

Cross multiply and solve for

*f*

.

PTS: 1

STA: GSS.6

DIF: Average

TOP: Solve proportions.

MSC: 1999 Lesson 8-3

OBJ: 7-3.1 Solve proportions.

KEY: Proportions | Solving proportions

14. ANS:

12

Sample:

Cross multiply and solve for

*f*

.

PTS: 1 DIF: Average

STA: GSS.6

MSC: 1999 Lesson 8-3

OBJ: 7-3.1 Solve proportions.

TOP: Solve proportions. KEY: Proportions | Solving proportions

15. ANS:

39

200

Sample:

27.5%

Write the percent over 100 and simplify.

PTS: 1 DIF: Average

STA: NSO.7 | NSO.8

KEY: Percent | Fractions

16. ANS:

123

200

Sample:

%

Write the percent over 100 and simplify.

PTS: 1 DIF: Average

STA: NSO.7 | NSO.8

KEY: Percent | Fractions

17. ANS:

20%

Sample:

OBJ: 7-5.1 Write percents as fractions.

TOP: Write percents as fractions.

MSC: 1999 Lesson 8-5

OBJ: 7-5.1 Write percents as fractions.

TOP: Write percents as fractions.

MSC: 1999 Lesson 8-5

Write the fraction with a denominator of 100 to find the percent.

PTS: 1 DIF: Average

STA: NSO.7 | NSO.8

KEY: Percent | Fractions

18. ANS:

50%

Sample:

OBJ: 7-5.2 Write fractions as percents.

TOP: Write fractions as percents.

MSC: 1999 Lesson 8-5

Write the fraction as a decimal. Then multiply by 100 to find the percent.

PTS: 1 DIF: Average

STA: NSO.7 | NSO.8

KEY: Percent | Fractions

19. ANS:

3

1

4

OBJ: 7-5.2 Write fractions as percents.

TOP: Write fractions as percents.

MSC: 1999 Lesson 8-5

Sample:

350%

Write the percent as a fraction over 100 and simplify.

PTS: 1 DIF: Basic

OBJ: 7-6.1 Write percents greater than 100% and percents less than 1% as fractions.

STA: NSO.7 | NSO.8

TOP: Write percents greater than 100% and percents less than 1% as fractions.

KEY: Percent | Fractions MSC: 1999 Lesson 8-7

20. ANS:

63

10000

Sample:

0.32%

Write the percent as a fraction over 100 and simplify.

PTS: 1 DIF: Average

OBJ: 7-6.1 Write percents greater than 100% and percents less than 1% as fractions.

STA: NSO.7 | NSO.8

TOP: Write percents greater than 100% and percents less than 1% as fractions.

KEY: Percent | Fractions MSC: 1999 Lesson 8-7

21. ANS:

1.32

Sample:

148%

Write the percent as a fraction over 100 and simplify to write it as a decimal.

PTS: 1 DIF: Basic

OBJ: 7-6.2 Write percents greater than 100% and percents less than 1% as decimals.

STA: NSO.7 | NSO.8

TOP: Write percents greater than 100% and percents less than 1% as decimals.

KEY: Percent | Decimals MSC: 1999 Lesson 8-7

22. ANS:

0.0042

Sample:

0.68%

Write the percent as a fraction over 100 and simplify to write it as a decimal.

PTS: 1 DIF: Average

OBJ: 7-6.2 Write percents greater than 100% and percents less than 1% as decimals.

STA: NSO.7 | NSO.8

TOP: Write percents greater than 100% and percents less than 1% as decimals.

KEY: Percent | Decimals MSC: 1999 Lesson 8-7

23. ANS:

1900%

Sample:

5.9

Multiply the number by 100 to write it as a percent.

5.9(100) = 590%

PTS: 1 DIF: Average

OBJ: 7-6.3 Write decimals as percents greater than 100% and percents less than 1%.

STA: NSO.7 | NSO.8

TOP: Write decimals as percents greater than 100% and percents less than 1%.

KEY: Decimals | Percent MSC: 1999 Lesson 8-7

24. ANS:

0.45%

Sample:

0.0044

Multiply the number by 100 to write it as a percent.

0.0044(100) = 0.44%

PTS: 1 DIF: Average

OBJ: 7-6.3 Write decimals as percents greater than 100% and percents less than 1%.

STA: NSO.7 | NSO.8

TOP: Write decimals as percents greater than 100% and percents less than 1%.

KEY: Decimals | Percent MSC: 1999 Lesson 8-7

25. ANS:

550%

Sample:

Write the mixed number as a decimal. Then multiply the number by 100 to write it as a percent.

PTS: 1 DIF: Average

OBJ: 7-6.4 Write fractions as percents greater than 100% and percents less than 1%.

STA: NSO.7 | NSO.8

TOP: Write fractions as percents greater than 100% and percents less than 1%.

KEY: Fractions | Percent MSC: 1999 Lesson 8-7

26. ANS:

0.5%

Sample:

Write the fraction as a decimal. Then multiply the number by 100 to write it as a percent.

PTS: 1 DIF: Average

OBJ: 7-6.4 Write fractions as percents greater than 100% and percents less than 1%.

STA: NSO.7 | NSO.8

TOP: Write fractions as percents greater than 100% and percents less than 1%.

KEY: Fractions | Percent MSC: 1999 Lesson 8-7

27. ANS:

140

Write 50% as a decimal and multiply by 280.

0.5(280) = 140

PTS: 1 DIF: Basic

STA: NSO.7 | NSO.8

KEY: Percent | Proportions

28. ANS:

500

Set up a proportion to find the number.

OBJ: 7-7.1 Find the percent of a number.

TOP: Find the percent of a number.

MSC: 1999 Lesson 8-8

PTS: 1 DIF: Average

STA: NSO.7 | NSO.8

KEY: Percent proportion | Problem solving

OBJ: 7-8.1 Solve problems using the percent proportion.

TOP: Solve problems using the percent proportion.

MSC: 1999 Lesson 8-9

29. ANS:

130.5

Write 145% as a decimal and multiply by 90.

1.45(90) = 130.5

PTS: 1 DIF: Average

STA: NSO.7 | NSO.8

KEY: Percent | Proportions

OBJ: 7-7.1 Find the percent of a number.

TOP: Find the percent of a number.

MSC: 1999 Lesson 8-8

30. ANS:

0.8%

Set up a proportion to solve for the percent.

PTS: 1 DIF: Average

STA: NSO.7 | NSO.8

KEY: Percent proportion | Problem solving

OBJ: 7-8.1 Solve problems using the percent proportion.

TOP: Solve problems using the percent proportion.

MSC: 1999 Lesson 8-9

31. ANS:

9.5%

Set up a proportion to solve for the percent.

PTS: 1 DIF: Average

STA: NSO.7 | NSO.8

KEY: Percent proportion | Problem solving

OBJ: 7-8.1 Solve problems using the percent proportion.

TOP: Solve problems using the percent proportion.

MSC: 1999 Lesson 8-9

32. ANS:

8 inches

Set up a proportion and solve for the length.

PTS: 1 DIF: Basic OBJ: 7-4.1 Solve problems involving scale drawings.

STA: MEA.4 TOP: Solve problems involving scale drawings.

KEY: Scale drawings | Proportions MSC: 1999 Lesson 8-4

33. ANS:

9 inches

Set up a proportion and solve for the length.

PTS: 1

STA: MEA.4

DIF: Basic

KEY: Scale drawings | Proportions

OBJ: 7-4.1 Solve problems involving scale drawings.

TOP: Solve problems involving scale drawings.

MSC: 1999 Lesson 8-4

34. ANS:

12 cm

Set up a proportion and solve for the height.

PTS: 1

STA: MEA.4

DIF: Average

KEY: Scale drawings | Proportions

OBJ: 7-4.1 Solve problems involving scale drawings.

TOP: Solve problems involving scale drawings.

MSC: 1999 Lesson 8-4