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Unit Rate & Constant of Proportionality REVIEW

Total questions: 49

Worksheet time: 12hrs 15mins

Name
Class
Date
1.

It takes a turtle 3 ¼ hours to walk 1 ½ miles. How many hours does it take to walk one mile?

a)

6/13 hours

b)

39/8 hours

c)

13/6 hours

d)

8/39 hours

2.

A recipe calls for 2/3 cup white sugar for every ¾ cup brown sugar. If I want to use 1 cup of white sugar, how much brown sugar should I use?

a)

9/8 cups

b)

1/2 cups

c)

8/9 cups

d)

2 cups

3.

Lauren bikes 4/3 miles in 1/10 hour. How long does it take her to bike one mile?

a)

15/2 hours

b)

2/15 hours

c)

40/3 hours

d)

3/40 hours

4.
Joe can run 3 2/5 miles in 7/8 of an hour. What is his speed in miles per hour?
a)
3  9/13 mph
b)
119/40 mph
c)
3  31/35 mph
d)
35/136 mph 
5.
What is a unit rate?
a)
Two unlike things compared to each otehr 
b)
How often something occurs 
c)
A rate expressed as something per two
d)
A rate expressed as something per one
6.
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
7.
Paige mows 1/6 of an acre in 1/4 hour. How many acres does Paige mow per hour? 
a)
6/4
b)
2/3
c)
2
d)
3
8.
Does this graph represent a proportional relationship?
a)
Yes
b)
No
9.
Does this graph represent a proportional relationship?
a)
Yes
b)
No
10.
Does this graph represent a proportional relationship?
a)
Yes
b)
No
11.
Does this table represent a proportional relationship?
a)
Yes
b)
No
12.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
13.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
14.
Is this table proportional?
a)
yes
b)
no
c)
I'm not sure, I need extra help!
15.
What is the equation y=kx for the table?
a)
y=1/3x
b)
y=3x
c)
y=5x
d)
y=1/5x
16.
Is this table proportional?
a)
Yes
b)
No
17.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
18.
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
19.
Write the equation for the table given.
a)
y = 16/2x
b)
y=8x
c)
y=12x
20.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
21.
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
22.
The constant of proportionality can be found by finding the __________  _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
23.
The constant of proportionality in the equation y = 4x is ________
a)
y
b)
4
c)
x
d)
=
24.
The equation y = 3x represents a proportional relationship. The value of y when x= 7 is __________
a)
21
b)
7
c)
10
d)
4
25.
The amount of eggs and the cups of cream needed to make egg nog have a proportional relationship.  Complete the table. 
a)
5/1     &    5/1
b)
10/2   &    25/5
c)
1/5     &     1/5
d)
2/10   &   5/25
26.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
27.
Does the table show a proportional relationship?
a)
Yes
b)
No
28.
This is a table with a proportional relationship between A and B.  Find the missing value of B. 
a)
33
b)
44
c)
32
d)
48
29.
 Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
30.
 Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
31.
Is this table proportional?
a)
Yes
b)
No
32.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
33.
Is this table proportional?
a)
Yes
b)
No
34.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
35.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
36.
Is this graph proportional?
a)
Yes
b)
No
37.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
38.
Why does this graph show a non-proportional relationship?
a)
Because it is proportional
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
39.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
40.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
41.
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.
42.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
43.
Is this table proportional?
a)
Yes
b)
No
44.
Does the table show a proportional relationship?
a)
Yes
b)
No
45.
In the equation y = 14x, what is the constant of proportionality (multiplier)?
a)
y
b)
x
c)
14
46.
If the constant of proportionality (multiplier) is 10, which of the following is the correct proportional equation?
a)
10=kx
b)
10=k
c)
y=10k
d)
y=10x
47.
Write the equation for the table given. 
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
48.

What makes a graph proportional?

a)

Straight line

b)

A curve that goes through the origin

c)

A curve

d)

Straight line that goes through the origin

49.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x