Grade 7 Unit 2
Common Assessment
Name____________________________
Date_______________
No calculators allowed on this portion of the test.
7.RP.2d
Total Cost ($)
90 120 150
1. This graph shows the relationship between the number of hours of Segway rental on Chicago’s
lakefront, and total cost, in dollars, of the rental.
A. Select each statement about the graph that is
true. Check the box for all that apply.
☐The point (0,0) shows the cost is $0.00 for 0 hours
60
of Segway rental.
☐The point (0.5, 15) shows that the cost is $15.00 for
30
hour of Segway rental.
1
2
3
Hours
4
5
☐The point (1.5, 90) shows that the cost is $90 for 1
hours of Segway rental.
☐The point (2.5, 75) shows that the cost of Segway
rental is $2.50 for 75 minutes of Segway rental.
☐The point (1, 30) shows that the cost of Segway
rental is $30 for 1 hour.
☐The point (4.5, 135) shows the cost of Segway
rental is $4.50 for 135 minutes.
B. Is the ratio of Rental Hours to Total Cost proportionate? Justify your answer.
Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 7, Unit 2
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7.RP.2b
2. If x is directly proportional to y, and if x=5 when y=25, what is the constant of proportionality (k)?
25 = (k)·5
k= ______
7.RP.2b, 7.RP.2c
3. Salvador added 6 teaspoons of coffee grounds and 8 cups of water to the coffee maker and made,
what his mom thought, was the perfect pot of coffee. His mom was planning a huge party and asked
Salvador if would make that same perfect coffee for the party.
Write an equation that shows the relationship between the number of teaspoons of coffee grounds,
c, and the number of cups of water, w, that are needed to create that perfect coffee. The equation
should be in the form of c = kw.
7.RP.2b
4. This table shows a proportional relationship between x and y.
What is the constant of proportionality?
Write your answer as a decimal.
x
y
3
3.75
6
7.5
9
11.25
12
15
k= ___________
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7.RP.2b
5. Interpret the unit rate from the following diagram.
Justify your answer.
Miles
44
Hour
Unit rate = ______________
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Calculators are allowed on the remainder of this test.
7.RP.1
6. Mariah paints of her bedroom wall using of a gallon of paint.
A. At this rate, what fraction of the gallon of paint will Mariah use in order to paint the entire
wall?
B. If two additional walls in her bedroom are exactly the same area as the first, will she have
enough paint to cover those two walls, as well? Justify your reasoning.
C. How many walls of this size can be painted with exactly 1 gallon of paint?
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7.RP.1
7. Robert walked of the distance between his house and the mall in of an hour. At this rate, what
fraction of the distance between his house and the mall can he walk in one hour?
7.RP.2a, 7.RP.2b
8. The coordinates of point A are (3, 4.5)
The coordinates of point B are (5, y)
A. What is the value of y, if the coordinates of points A and B are in a proportional relationship?
y= ______
B. What is the constant of proportionality? k= ______
C. Graph points A and B on the coordinate grid below.
D. Graph two additional points on the coordinate grid below to justify this is a proportional
relationship.
Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 7, Unit 2
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6.RP.3, 7.RP.1
9. Your mom asked you to pick up Goldfish crackers for your toddler niece who is coming to stay for a
week. You know that Goldfish are her favorite snack and you feel that she will eat several bags over
the next week. Walmart sells Goldfish packaged three different ways. Which package of Goldfish
should you buy in order to get the best buy? Justify your reasoning.
Package
Price
Total Ounces
Bag of Goldfish
Goldfish Snack Packs (1 oz bags) box of 12
Goldfish Baked Snack Crackers Big Box
$2.98
$4.48
$7.48
10 oz
12 oz
30 oz
Joliet Public Schools District 86 | Common Assessment 2014-15, Grade 7, Unit 2
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7.RP.2b
10. On their unit summative assessments, 7th grade students are asked to determine if the following
graph shows a proportional relationship and to justify their answer. Next to the graph is one
student’s response.
This graph shows a proportional
relationship. I determined this by looking
at the relationship between the x- and ycoordinates.
Point C’s coordinates are (2,4) and 2·2=4.
Point D’s coordinates are (3,9) and 3·3=9.
Point E’s coordinates are (4, 16) and 4·4=16.
Since you can determine each ycoordinate by multiplying each xcoordinate by itself, and the graph passes
through (0,0), this graph shows a
proportional relationship.
Do you agree with this student’s response? Justify your reasoning.
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7.RP.2
11. Complete the following graphic organizer to model the proportional relationship described in the
“In Words” section.
In Words
Equation
A human fingernail grows 9 centimeters in
3 years.
Graph
Table
Fingernail Growth
Time (years)
Growth (cm)
1
2
4
Growth (cm)
0
6
Time (years)
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7.RP.2a
12. The following tables show the number of pages that several students read over a four-day period.
Which tables show a proportional relationship? Select all that apply.
A.
1
2
3
4
Number of Days
B.
Total Pages
15
30
45
60
Number of Days
1
2
3
4
25
Total Pages
C.
D.
E.
50
Number of Days
1
2
3
4
Total Pages
1
4
9
16
Number of Days
1
2
3
4
Total Pages
15
20
25
30
Number of Days
1
2
3
4
10.25
20.5
30.75
41
Total Pages
7.RP.2d
13. The equation s = b, represents the number of cups of sugar, s, that you need to make b batches
of cookies. Which points are on the graph that represents this proportional relationship? Select all
that apply.
A. (3, 4)
B. (2, 1.5)
C. (1, )
D. (4,3)
E. ( , 1)
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