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