RATIO AND PROPORTIONS UNIT TEST REVIEW!!!!!
Multiple Choice
Indicate the answer choice that best completes the statement or answers the question.
1. Kent pedaled his new bicycle at 7 miles per hour. How many feet per hour is this?
a. 5,280 feet per hour
c. 36,960 feet per hour
b. 40,740 feet per hour
d. 35,560 feet per hour
Find each unit rate. Round to the nearest tenth if necessary.
2. 482 students to 20 teachers
a. about 29.5 students/teacher
c. 24.1 students/teacher
5. Monique bought
a. $49
c. $4
b. 24.1 teachers/student
d. about 1 teacher/22.3 students
pounds of hamburgers for $14. What was the cost per pound?
b. $4.67
d. $0.25
6. Use the graph to find the constant rate of change of the number of books printed per hour in a printing press.
a.
b.
c.
d.
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8. Use the graph to find the constant rate of change of number of cars produced per hour in a car company.
a.
b.
c.
d.
9. The table below shows the relationship between the number of minutes y it takes a racecar to complete a lap x on a race
track.
Laps (x)
Minutes (y)
0
0
2
4
4
8
6
12
8
16
What is constant rate of change?
a. 2 minutes per lap
c. 4 minutes per lap
b. 3 minutes per lap
d. 6 minutes per lap
10. The table shows the relationship between the wait time in minutes and the number of people in line.
People in Line
Number
Wait Time (min.)
4
80
8
160
12
240
16
320
What is the constant rate of change?
a. 16 minutes per person
c. 20 minutes per person
b. 17 minutes per person
d. 13 minutes per person
11. Which one of the relationships described is not proportional?
a. Cedrick earns $9.75 for each day he pet-sits; is the relationship between the money he earns and the days he
works proportional?
b. The length of the side of a square and its perimeter; is the relationship between the measurements
proportional?
c. A car travels at a constant speed of 35 miles per hour is the relationship between the distance and the time
proportional?
d. Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
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13. Mrs. Lenz rented a scooter during her beach vacation. The cost of the scooter rental is shown for different periods of
time. What does the point (7, 70) represent?
a. The unit rate of $70 per hour.
b. The unit rate of $7 per hour.
c. The cost of renting the scooter for 70 hours is $7.
d. The cost of renting the scooter for 7 hours is $70.
14. Determine whether the relationship between the two quantities shown in the graph is proportional. Choose the correct
answer.
a. No, because the graph of the line connecting the ordered pairs passes through the origin.
b. No, because the graph of the line connecting the ordered pairs does not pass through the origin.
c. Yes, because the graph of the line connecting the ordered pairs passes through the origin.
d. Yes, because the graph of the line connecting the ordered pairs does not pass through the origin.
16. Dwanye used 2 gallons of paint to cover 750 square feet and 5 gallons of paint to cover 1,875 square feet. How many
gallons of paint will he need to cover 2,625 square feet?
a. 5
b. 6
c. 7
d. 8
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Subjective Short Answer
18. The speed of a Formula One racing car ranges between 220 and 240 miles per hour. If the average speed is 230 miles
per hour, what is the average speed in feet per hour?
20. Juanita’s cell phone plan offers her different text messaging options. 200 text messages cost $4 and 400 text messages
cost $6. What is the rate of change in cost per text message? What is the rate of change in cost per text message if 400 text
messages cost $8?
22. Maryanne is writing songs for her new band. She writes the same number of songs each day. She has 9 songs after 3
days. She has 18 songs after 6 days. What is the rate of change in songs per day? What is the rate of change in songs per
day if she has 21 songs written after 6 days?
23. Seagrove Waverunners rents jet skis for $60 per hour. In addition to the hourly rental fee, there is a charge of $15 for
insurance. Is the number of hours you rent the jet ski proportional to the cost?
24. John opens a checking account with $100 as his initial deposit. Every week John deposits $12.50 more. Is the amount
of money (balance) in John’s checking account proportional to the number of weeks?
25. It takes
minute to fill
of a gallon container. At this rate, how many gallons can be filled in 3 minutes?
29. A pasta salad recipe that serves 7 people requires 12 ounces of Penne pasta. How many pounds of pasta are required to
make enough to serve 50 people? Round your answer to the nearest half-pound. Hint: Round to nearest hundredth of an
ounce before converting to pounds.
In the following exercises, assume the situations are proportional.
32. It takes 30 minutes of working-out on an elliptical machine for Dawn to burn 300 calories. Write an equation relating
the number of calories burned, n, to the number of minutes, m. At this rate, how long will it take to burn 200 calories? 500
calories?
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Answer Key
1. c
2. c
5. c
6. c
8. a
9. a
10. c
11. d
13. d
14. c
16. c
18. 1,214,400 ft/h
Use 1 mile = 5,280 feet to convert the rate.
=
Multiply by
=
Simplify.
and divide out common units.
The speed of the train is 1,214,400 feet per hour.
20. $0.01 per text message; $0.02 per text message
The cost of text messages increases $2 for every 200 messages. Write the unit rate as a fraction and simplify.
If 400 text messages cost $8, the unit rate would be
$0.01.
or $0.02.
22. 3 songs per day; 4 songs per day
The number of songs increases by 9 for every 3 days. Write the unit rate as a fraction and simplify.
written 21 songs after 6 days, the rate of change is
3. If she has
, or 4 songs per day.
23. no
Hours Rented
Cost
1
$75
2
$135
3
$195
4
$255
Since the ratios of the two quantities are not the same, the cost is not proportional to the number of hours.
24. no
week 1 =
; week 2 =
; week 3 =
, and so on.
These ratios are not equal, therefore, they are not proportional.
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25. 4
gallons
Write a rate that compares gallons filled so far to minutes:
Solve to find the unit rate:
Then multiply the unit rate by the total number of minutes:
29. 5
pounds
; x ≈ 85.71 ounces
85.71 ÷ 16 ≈ 5.36 ≈ 5.5 pounds
32. n = 10m; 20 minutes; 50 minutes
First, find the rate of calories burned per minute by dividing 300 by 30 to get 10 calories/min.
200 = 10m; m = 20 minutes
500 = 10m; m = 50 minutes
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