Proportional Relationships
7th Grade
Pre-Assessment
1. Which of the following shows a proportion?
a.
,
b.
,
c.
,
d.
,
2. The record for the most Major League Baseball career innings pitched is held by Cy Young with
7,356 innings. If the average length of an inning is 19 minutes, how many minutes did Young
play in Major League games?
a. 139,764 minutes
b. 387.15 minutes
c. 2,329 minutes
d. 441,360 minutes
3. Sara studied a map that showed the routes people followed to explore and settle in Kentucky
during the 1700s. The scale on the map showed that inch represents 25 miles. On the map,
Sara measures the length of the Wilderness Road to be 4 inches. Based on Sara’s measurement,
how long was the Wilderness Road, in miles?
a. 50 miles
b. 100 miles
c. 150 miles
d. 200 miles
4. Thomas bought a new book on sale. It regularly cost $17.95, but was on sale for 20% off. How
much did the book coast Thomas?
a. $3.59
b. $14.36
c. $15.95
d. $17.59
5.
You earn $8.45 an hour. How much would you make, before taxes are withheld, for a 40-hour
week?
a. $338
b. $1352
c. $17,576
d. $84,540
6. Lakisha and James were experimenting with a new spinner whose possible outcomes are the
colors blue, red, yellow, and white. They spun the spinner 30 times and the results are shown in
the frequency table below.
Outcome
Blue
Red
Yellow
White
Frequency
10
9
5
6
Based on the results of the experiment, which would likely be closest to the number of times
that the spinner stopped on white if the experiment included 100 spins?
a. 17
b. 20
c. 30
d. 33
7. Martin’s shadow is 10 feet long, and he is 6 feet tall. At the same time of day, a building casts a
24 foot shadow. Which proportion can be used to find the height, x, of the building?
a.
=
b.
=
c.
=
d.
=
8. Complete the table so that it represents a relationship in which y is proportional to x.
x
y
0
a
1
b
2
8
3
c
a. a=2 b=4 c=16
b. a=6 b=7 c=10
c. a=0 b=4 c=10
d. a=0 b=4 c=12
9.
75 is 20 percent of what number?
a. 375
b. 150
c. 1500
d. 200
10. Find the value of x in the following proportion.
=
a.
b.
c.
d.
4
12
18
24
11. Dr. North Plegan’s practice sees 125 cats. In 2010, 24.8% of cats were classified as obese,
compared to 21.6 percent in 2011. Find the percent decrease in obese cats in one year.
a. 3.2%
b. 12.9%
c. 16.1%
d. 18.5%
12. The proportion =
is given. If the numerator 5 is divided by 5 to get the value of x, which
expression could be used to find the value of y?
a. 1 ÷ 8
b. 5 ÷ 8
c. 8 ÷ 8
d. 8 ÷ 5
13. A pair or sneakers was reduced from $127 to $85. What was the percent of change?
a. 33%
b. 42%
c. 53%
d. 67%
14. The original price of a dining table set is $400. The set is on sale for 40% off. What is the sale
price of the set?
a.
$40
b. $100
c. $160
d. $240
15. Determine the constant of proportionality for the point (2,5) on a graph.
a.
b.
c.
d.
16. A document in the local museum is measured having a width of 12 ½ inches and a length of
18 ¾ inches. If this document is reproduced at half scale for sale at the gift shop, what will be
the length of the gift shop document?
a. 6
b.
c.
d. 36
17. 120 is what percent of 90?
a. 75%
b. 90%
c. 116.3%
d. 133.3%
18. Trapezoid QRST~ trapezoid EFGH. Find the measure of side TS.
a. 22
b. 56
c. 65
d. 114
19. Find the constant of proportionality for the ratio .
a. 0 .75
b.
1.5
c.
1.75
d.
2.25
20. Which of the graphs below represent the graph of a proportional relationship?
A.
C.
B.
D.
Short Answer:
21. Sue drove 260 miles in 5 hours. She has 494 more miles to drive on her trip. If she continues at
the same average speed, what will her driving time be for the remainder of her trip?
Extended Response:
22. Dylan makes $336 for 32 hours of work and Angela makes $420 for 42 hours of work.
a)
How much do Dylan and Angela each make per hour?
b) Is Dylan’s wage for 25 hours proportional to Angela’s wage for 42 hours? Why or why not?
Pre-Assessment
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