Name: ____________________________________
EXAM: Ratio and Proportion
MULTIPLE CHOICE - Directions: Circle letter of the correct choice.
1
Jerome went on a hike. He climbed three-fourths
of a mile in two-thirds of an hour. What was his
hiking speed in miles per hour?
A
mile per hour
miles per
B
2
miles per
D
D
$5.44
D
7
5
9
10
30
30 lbs
60 lbs
Material 2
13 lbs
26 lbs
39 lbs
Material 3
31 lbs
62 lbs
93 lbs
Material 4
14 lbs
28 lbs
42 lbs
$24.00
C
12
25
D
12
35
Darryl is reading a book at the rate of 4.5 pages
per minute. What ordered pair on a graph of his
reading rate would represent the number of
minutes it would take him to read 90 pages?
Material 1
Material 3
Cost
$12
$20
$24
$32
$60
A
Not proportional
C
Proportional;
k=9
B
Proportional;
D
Proportional;
k=4
k=
8
C
B Material 2
D Material 4
Tell whether the data sets show a proportional
relationship. If so, identify the constant of
proportionality.
Number of
Baskets
3
5
6
8
15
with
B
15 lbs
A
Which of the following ratios forms a proportion
2
?
5
16
A
40
Material 1
Which of the materials’ weights does NOT have a
proportional relationship with length?
(8, 2)
Marlin bought 4 ham sandwiches and 2 bags of
chips for $22.50. If the chips cost $0.75 per bag,
how much did each sandwich cost?
A $5.25
C $21.00
B
4
(2, 8)
Weights of different materials were taken for three
lengths: 6 inches, 12 inches, and 18 inches.
mile per hour
hour
hour
The relationship between the length of one side of
a square, x, and the perimeter of the square, y, can
be represented in an xy-plane by a straight line.
Which of the points with coordinates (x, y) lie on
the line?
A (2, 6)
C (6, 2)
B
3
C
6
Date: ____________
PreAlgebra
1
4
If it takes Joan 10 weeks to make 2 dollhouses,
how long will it take her to make 15 dollhouses?
A
(90, 4.5)
C
(4.5, 20)
A
3 weeks
C
30 weeks
B
(4.5, 90)
D
(20, 90)
B
75 weeks
D
150 weeks
Circle the graph that represents the proportional relationship.
10
At a wholesale club, you can buy packages of 6
bottles of shampoo for $14.10. A drugstore is
offering the same shampoo this week for $4.50 for
2 bottles. Which is the better buy? Show your
work, or explain in words how you determined
your answer.
The cost of buying shoes is shown in the table
12 below.
Part A Plot the ordered pairs on the coordinate plane.
11
Matt is selling wrist bands as part of a fundraiser for his
club. He kept track of his sales by making the following
table.
# of wristbands sold
Amount Raised ($)
2
10
3
15
4
20
Part B Is the relationship between the number of shoes
and the cost proportional? Explain.
5
25
Matt tried to decide if whether the number of
wristbands sold is proportional to the amount raised.
Part C Is there a constant unit rate? If so, what ordered
pair on the graph represents the unit rate and what
does it mean?
Part D What is the constant of proportionality?
k = ______
Part E Write an equation to model the data.
Correct Matt’s explanation.
equation ______________
Part F What is the slope of the line you drew?
Create a table where a pattern of increasing by 5 is NOT
proportional.
# of wristbands sold
Slope = ______
Part G Discuss what the slope means as the constant
rate of change.
Amount Raised ($)
Part H If the point (x, 250) is on the line, what is the
value of x? Explain what this point means in the context
of the problem.