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Unit Rates & Proportions

Total questions: 54

Worksheet time: 3hrs 21mins

Name
Class
Date
1.
A graph has the equation y=14x. Which of the following is the constant of proportionality?
a)
14
b)
x
c)
y
d)
1/14
2.
If an equation takes the form y (minutes) = 3x (cookies eaten), how long will it take you to eat 6 cookies?
a)
18 minutes
b)
2 minutes
c)
6 minutes
d)
1/2 minute
3.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
4.
A proportional relationship can be written as an equation in the form ____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
5.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
6.

Based on the graph, Which of the following statements is TRUE?

a)

I drove 80 miles every 4 hours

b)

I drove 160 miles in an hour

c)

I drove 80 miles every 2 hours

d)

I drove 240 miles in 4 hours

7.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
8.
You travel 150 miles on 5 gallons. How far did you travel per gallon?
a)
15 miles
b)
30 miles
c)
3 miles
d)
25 miles
9.
REVIEW QUESTION
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
c)
both
d)
neither
10.
A unit rate is a ratio with:
a)
A denominator of 1
b)
A numerator of 1
11.
Find the unit rate of the ratio below:
30 cm of snow in 6 hours
a)
6 cm of snow per hour
b)
30 cm of snow per hour
c)
5 cm of snow per hour
d)
3 cm of snow per hour
12.
Is this a direct proportion?
a)
yes
b)
no
13.
Is this a direct proportion?
a)
yes
b)
no
14.
Is this graph proportional?
a)
Yes
b)
No
15.
Write a direct proportion equation for the graph
a)
y=2x
b)
y=24x
c)
y=4x
d)
y=16x
16.
In one day a movie store rented out 20 comedies. If the ratio of comedies rented to action movies rented was 4 : 3, how many action movies were rented?
a)
5
b)
15
c)
3.3333
d)
4 1/3
17.

What is the value of k. the constant Proportionality for this table?

a)

1/9

b)

9

c)

8

18.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
19.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
20.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
21.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$1.25 per pound
b)
$1 per pound
c)
$2 per pound
d)
$1.50 per pound
22.
I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?
a)
$0.40
b)
$9.00
c)
$2.50
d)
$0.90
23.
Ben plays basketball every 6 times in a  3 weeks. At this rate, how many times does he play basketball in 10 weeks?
a)
20
b)
30
c)
45
d)
50
24.
5 boxes of candy costs $12.54. What is the unit price of one candy bar?
a)
2.50
b)
400000000
c)
78.0
d)
678
25.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
26.
I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?
a)
$0.40
b)
$9.00
c)
$2.50
d)
$0.90
27.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
28.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
29.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 32 minutes?

a)

10 customers

b)

7 customers

c)

8 customers

d)

12 customers

30.

If Maya makes $10 an hour at her after school job, how many hours will it take her to earn $150?

a)

10 hours

b)

1.5 hours

c)

15 hours

d)

20 hours

31.

Julie can type about 300 words in 5 minutes. At this rate, about how many words can she type in an hour (60 minutes=1 hour)?

a)

3000 words in an hour

b)

3600 words in an hour

c)

60 words in an hour

d)

5000 words in an hour

32.

The Williams family bought 4 concert tickets for $148. What was the price per ticket?

a)

$40

b)

$37

c)

$32

d)

$20

33.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
34.

Is this equation y = 14x showing proportionality?

a)

yes

b)

no

35.
Is this table proportional?
a)
yes
b)
no
c)
I'm not sure, I need extra help!
36.
What is the equation y=kx for the table?
a)
y=1/3x
b)
y=3x
c)
y=5x
d)
y=1/5x
37.
Is this table proportional?
a)
Yes
b)
No
38.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
39.
Write the equation for the table given.
a)
y = 16/2x
b)
y=8x
c)
y=12x
40.
A proportional relationship can be written as an equation in the form
____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
41.
What does k represent in the equation y = kx?
a)
independent variable
b)
constant of proportionality
c)
dependent variable
d)
krispy kreme
42.
Is the given table a proportional relationship? If so, what is the constant of proportionality?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
43.
The constant of proportionality can be found by finding the __________  _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
44.
The constant of proportionality in the equation y = 4x is ________
a)
y
b)
4
c)
x
d)
=
45.
The equation y = 3x represents a proportional relationship. The value of y when x= 7 is __________
a)
21
b)
7
c)
10
d)
4
46.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
47.
Does the table show a proportional relationship?
a)
Yes
b)
No
48.

Match the correct equation to the graph

a)

y = 4x

b)

y = 9x

c)

y = 10x

d)

y = 3x

49.

Match the correct equation to the graph

a)

y = 30x

b)

y = 5x

c)

y = 6x

d)

y = x

50.

Match the correct equation to the graph

a)

y = 4x

b)

y = 8x

c)

y = 2x

d)

y = 12x

51.

Match the correct equation to the graph

a)

y = 90x

b)

y = 9x

c)

y = 10x

d)

y = 2x

52.

Match the correct equation to the graph

a)

y = 16x

b)

y = 8x

c)

y = 2x

d)

y = 4x

53.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
54.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional