Name: _________________________________________ Period: ____________________ Date:__________________
UNIT 3 TEST REVIEW
Matching:
Match the term with the following situation:
A. Constant of Proportionality
B. Unit rate
C. Direct Variation
D. Rate
E. Origin
1. A rate that is simplified so that it has a denominator of 1 unit is called a ____________.
2. A ratio that compares two quantities with different kinds of units is called a _____________.
3. The variable “k” represents the ____________________.
4. A relationship is a ___________________ when the ratio of
= k.
5. Proportional relationships intersect the _____________ on a graph.
Constant Rate of Proportionality:
6. Lucy can run at a rate of 75 miles per hour when she’s chasing squirrels. How many miles can she run in a minute?
7. The recipe for an omelet says that 5 eggs make 2 servings. How many eggs are required to make 12 servings? Label
eggs as variable y, and servings as variable x.
8. How many calories are there in one serving if there are 2,555 Calories in 7 servings?
9. Rachel walks dogs on the weekends. If the equation y = 9x represents the amount of money she earns, what is the
constant of proportionality?
10. Aubrey can travel 248 miles in 4 hours. Write an equation relating the distance d to the number of hours h. At this
rate, how far can she travel in 7 hours?
11. Determine whether the relationship shown in the table below is a direct variation. If so, state the constant of
proportionality.
SKIP #11
Converting Unit Rates:
12. A remote control car travels at a rate of 10 feet per second. How many inches per second is this?
13. A beluga whale can swim at a rate of 2 miles per hour. How many feet per minute is that?
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Name: _________________________________________ Period: ____________________ Date:__________________
14. A parrot can fly at a speed of 14 miles per hour. About how many feet per hour can the parrot fly?
15. A pipe is leaking 5 cups per day. About how many gallons per week is the pipe leaking?
16. 540 ft/min = ________ yds/sec (HINT:
17. 6 ft/day = _________ in/hr (HINT:
)
)
18. 105 ft/week = __________ yds/day (HINT:
Constant Rate of Change:
20. At 3 p.m. there were 15 frogs in a pond, and then at 7 p.m. there were 43 frogs. What is the constant rate of change?
21. Benny is depositing money into his bank account. After 3 months, there is $85. After 8 months, there is $310.
Determine the constant rate of change in his bank account.
22. Determine the constant rate of change:
23. Determine the constant rate of change:
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Name: _________________________________________ Period: ____________________ Date:__________________
24. Use the table to the right that shows the average
monthly electricity and water usage and answer
the two following questions:
Family
Name
a. Which family uses about twice the amount of
electricity per person than the other two
families? Explain your reasoning.
Melendez
Barton
Stiles
Family
Size
Electricity
(kilowatthours)
Water
(gal)
4
6
2
1,560
2,130
1,490
3,500
6,400
2,500
b. Which family uses the least amount of water per person? Explain your reasoning.
Use the table to the right showing the speed in miles per hour of several bikers to answer questions 25-27.
25. What is Sarah’s speed in feet per second? Round to the nearest tenth.
26. What is Sarah’s speed in yards per minute?
Speeds While Biking
Name
Speed (miles per hour)
Zoe
24
Suzie
22
Sarah
18
Erica
16
27. How many feet per minute faster is Suzie’s speed than Erica’s speed?
28. Jean has $280 in her savings account. Starting next week, she will deposit $30 in her account every week. Is the
amount of money in her account proportional to the number of weeks?
29. Fun Center rents popcorn machines for $20 per hour. In addition to the hourly charge, there is a rental fee of $32. Is
the number of hours you rent the popcorn machine proportional to the total cost?
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Name: _________________________________________ Period: ____________________ Date:__________________
30. The cost to rent a lane at a bowling alley is $9 per hour plus $4 for shoe rental. Create a table to show the total cost
for each hour a bowling lane is rented if one person rents shoes. Is the total cost proportional to the number of hours
rented?
Number of Hours
Total Cost
1
$13
2
$22
3
$31
4
$40
31. A photo developer charges $0.25 per photo developed. Is the total cost proportional to the number of photos
developed?
32. A soccer club has 15 players for every team, with the exception of two teams that have 16 players each. Is the
number of players proportional to the number of teams?
For Exercises 32-35 use the table of values. Write proportional or nonproportional.
33.
Number of Hours
Total Amount Earned
1
$0.99
2
$1.98
3
$2.97
4
$3.96
34.
Number of Hours
Total Amount Earned
35.
36 .
Number of Hours
Number of Pages Read in Book
Number of Lunches
Total Cost
1
$17.25
2
$35.50
3
$50.75
4
$70
1
37
2
73
3
109
4
145
1
$2.75
2
$5.50
3
$8.25
4
$11
37. Rachel baked 3 cakes in 2 hours, 4 cakes in 3 hours, and 5 cakes in 4 hours. Determine whether the number of
cakes baked is proportional to the number of hours.
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