Practice Quiz (3.1-3.5)
Name _________________________
Find the unit rate.
____
____
1. 228 miles in 4 hours
a. 57 miles per hour
b. 54 miles per hour
c. 60 miles per hour
d. 55 miles per hour
2. At 4:36 P.M., you have 90 megabytes of MP3 songs. By 4:54 P.M., you have 900 megabytes. What is the
download rate in megabytes per minute?
a. 15 MB per min
c. 50 MB per min
b. 5 MB per min
d. 45 MB per min
Find the slope of the line.
____
3.
10
y
8
6
4
(8, 2)
2
(2, 0.5)
2
4
6
8
x
a. 2
b. 8
c.
1
4
d. 4
Write a proportion to find how many points a student needs to score on the test to get the given score.
____
4. Test worth 50 points; test score of 74%
a.
b.
c.
d.
Solve the proportion using the Cross Products Property.
____
5.
a. b = 12.6
b. b = 16.6
____
c. b = 14.6
d. b = 134.56
6. There are 40 fluid ounces of juice in 2 bottles of your favorite juice. How many fluid ounces are there in 9
bottles?
a. 220 fluid ounces
c. 180 fluid ounces
b. 200 fluid ounces
d. 360 fluid ounces
Solve.
____
____
____
7.
a. x = 28
b. x = 14
c. x = 7
d. x = 21
a. c = 6
b. c = 5
c. c = 4
d. c = 8
8.
9. A person who weighs 105 pounds on Earth weighs 7 pounds on Pluto. How much does a person weigh on
2
Earth if the person would weigh 4 pounds on Pluto?
3
a. 70 pounds
c. 68 pounds
b. 76 pounds
d.
2
67 pounds
3
Write the ratio as a fraction in simplest form.
10. 171 strokes : 36 golf holes
Solve.
11.
12. Is it more difficult to run up a ramp with a slope of 8 or a ramp with a slope of 5? Explain your reasoning.
Tell whether the ratios form a proportion.
13.
Tell whether the two rates form a proportion.
14. 48 units produced in 2 hours; 168 units produced in 7 hours
15. A gym teacher organizes the 60 students in a class to form volleyball teams of six players with two boys on
each team. Write and solve a proportion that gives the number b of boys in the class.
16. The graph shows the cost of admission to a nature park.
210
y
Cost (dollars)
180
150
120
(6, 129)
90
(4, 86)
60
(2, 43)
30
1
2
3
4
5
6
7
8
9
x
Number in Group
a. What does the point (4, 86) represent?
b. What is the unit rate?
c. What is the cost of admittance for a group of 13?
17. The ratio of fifty-cent pieces to silver dollars in your coin collection is 3 : 2. You add ten fifty-cent pieces and
some silver dollars to your collection.
Is the ratio still 3 : 2? If yes, tell how many silver dollars you added. If not, show why with a
“counterexample.”
18. You have a scale model of a domed stadium. The scale is 1 in. : 50 ft.
a. The model is 3.5 inches tall. Write a proportion that gives the height h of the actual stadium.
b. What is the height of the actual stadium?
19. The table shows data for the drawing of the side of a shed.
36 mm
Distance on Drawing (mm)
Actual Distance (ft)
6
3
10
5
14
7
18
9
a. Graph the data.
b. Find the slope of the line. What does this mean in the context of the problem?
c. What is the actual length of the side of the shed?
d. The actual height of the windows is 6 feet. What is the height of the windows on the drawing?
Practice Quiz (3.1-3.5) - Answer Section
1. ANS: A
KEY: unit rate
PTS: 1
MSC: Knowledge
DIF: Level 1
NOT: PE #17
NAT: 7.RP.1 | 7.RP.2b
2. ANS: D
PTS: 1
KEY: unit rate | application
DIF: Level 2
MSC: Application
NAT: 7.RP.1 | 7.RP.2b
NOT: PE #27
3. ANS: C
PTS: 1
KEY: slope | graph MSC: Knowledge
DIF: Level 1
NOT: PE #9
NAT: 7.RP.2b
4. ANS: A
KEY: proportion
DIF: Level 1
NOT: PE #5
NAT: 7.RP.2a
PTS: 1
MSC: Knowledge
5. ANS: A
PTS: 1
KEY: proportion | equation
NOT: PE #21
DIF: Level 1
NAT: 7.RP.2b
MSC: Comprehension
6. ANS: C
PTS: 1
KEY: proportion | application
DIF: Level 2
MSC: Application
7. ANS: C
PTS: 1
KEY: proportion | equation
NOT: PE #25
DIF: Level 2
NAT: 7.RP.2b
MSC: Comprehension
8. ANS: C
PTS: 1
KEY: proportion | equation
NOT: PE #27
DIF: Level 2
NAT: 7.RP.2b
MSC: Comprehension
9. ANS: A
PTS: 1
KEY: proportion | application
DIF: Level 2
MSC: Application
19
4
PTS: 1
DIF: Level 1
KEY: ratio | simplify
NOT: PE #13
NAT: 7.RP.2b
NOT: PE #23
NAT: 7.RP.2b
NOT: PE #30
10. ANS:
11. ANS: 280
PTS: 1
MSC: Knowledge
DIF: Level 2
NOT: PE #21
NAT: 7.RP.1 | 7.RP.2b
MSC: Comprehension
NAT: 7.RP.2a
KEY: proportion | equation
12. ANS: 8; A slope of 8 is greater than a slope of 5, so the ramp with a slope of 8 is steeper.
PTS: 1
DIF: Level 1
NAT: 7.RP.2b
KEY: slope | concept check
MSC: Knowledge NOT: PE #3
13. ANS: no
PTS: 1
DIF: Level 2
MSC: Comprehension
NAT: 7.RP.2a
NOT: PE #26
KEY: ratio | proportion
14. ANS: yes
PTS: 1
DIF: Level 1
MSC: Comprehension
NAT: 7.RP.2a
NOT: PE #20
KEY: rate | proportion
NAT: 7.RP.2a
NOT: PE #14
KEY: proportion | application
15. ANS:
PTS: 1
DIF: Level 1
MSC: Comprehension
16. ANS:
PTS:
KEY:
NOT:
a. Admittance for 4 people costs $86.00. b. $21.50 per person
c. $279.50
1
DIF: Level 2
NAT: 7.RP.1 | 7.RP.2b
unit rate | reasoning | graph | application
MSC: Application
PE #29
17. ANS:
y
a.
Actual Distance (ft)
14
12
10
(18, 9)
8
(14, 7)
6
(10, 5)
4
(6, 3)
2
4
8
12
16
20
24
28
32
36
x
Distance on Drawing (mm)
1
; Every foot of actual distance is represented by 2 millimeters on the drawing.
2
c. 18 ft
d. 12 mm
b.
PTS: 1
MSC: Analysis
DIF: Level 3
NOT: PE #17
NAT: 7.RP.2b
18. ANS: a. no, check counter example
PTS: 1
DIF: Level 3 NAT: 7.RP.2a
KEY: ratio | proportion | application | reasoning
NOT: PE #33
19. ANS: a.
PTS: 1
MSC: Application
KEY: slope | graph | application
MSC: Analysis
b. 175 ft
DIF: Level 2
NOT: PE #23
NAT: 7.RP.2a
KEY: proportion | equation | application