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Proportional Relationships

Total questions: 51

Worksheet time: 4hrs 15mins

Name
Class
Date
1.
Does the table represent a proportional relationship?
a)
yes
b)
no
2.
Does the table represent a proportional relationship?
a)
yes
b)
no
3.
The cost, c, of potato salad by its weight in pounds, p, at a deli is given in the table above.  Which equation best models this data.
a)
c = .29p
b)
c = 3.5p
c)
p = .29c
d)
p = 3.5c
4.
There are 6 fourth - grade students, 8 fifth - grade students, and 10 sixth - grade students on the girls soccer team at Truman Elementary School.
What is the ratio of sixth - grade students to other students?
a)
 5 to 12
b)
5 to 7
c)
7 to 5
d)
12 to 5
5.
Paul has 16 baseballs and 12 golf balls. What is the ratio of baseballs to golf balls?
a)
4/7
b)
3/4
c)
4/3
d)
7/4
6.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
d)
x = 3y
7.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
8.
Write an equation for this relationship.
a)
y=1/5x
b)
y=1/2x
c)
y=2x
d)
y=5x
9.
Is the given table a proportional relationship? If so, write an equation that relates y to x.
a)
Yes;  y=1/3x
b)
Yes;  y=3x
c)
Yes;  y=5x 
d)
No
10.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
11.

How many tbsp of honey is needed for 20 cups of flour?

a)

2

b)

18

c)

25

d)

16

12.
Write an equation for this relationship.
a)
d=18.50c
b)
c=18.50d
c)
c=22.50d
d)
c=22d
13.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
14.
What is the Constant of Proportionality of the Table?
a)
3
b)
1/3
c)
1/2
d)
6
15.

The table shows John's wages based on the number of hours he works. What equations would be used for the table? Use h for hours and d for dollars

a)

d = 9h

b)

h = 9d

c)


h = 19dh\ =\ \frac{1}{9}d

d)

d = 19hd\ =\ \frac{1}{9}h

16.

Use the table to solve for the constant of proportionality.

a)

3

b)

13\frac{1}{3}

c)

6

d)

2

17.

The cost for 2 lbs of apples is $1.84. Reduce the ratio to determine the equation, where x is the lbs of apples and y is the cost.

a)

y = .92x

b)

x = .92y

c)

y = 2x

d)

y = 1.84x

18.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
19.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
20.
Does the graph show a proportional relationship?
a)
Yes
b)
No
21.
a)

Proportional

b)

Non-proportional

22.
a)

Proportional

b)

Non-proportional

23.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality (how much did he make per hour)?
a)
$37
b)
$64.75
c)
$9.25
d)
$18.50
24.
a)

Proportional

b)

Non-Proportional

25.
a)

Proportional

b)

Non-proportional

26.
a)

Proportional

b)

Non-proportional

27.
a)

Proportional

b)

Non-proportional

28.
a)

Proportional

b)

Non-proportional

29.
a)

Proportional

b)

Non-proportional

30.
a)

Proportional

b)

Non-Proportional

31.

True/False: The point (1,0.5) means mix 0.5 quart of green paint with 1 quart of red paint.

a)

True

b)

False

32.

True/False: The point (1,0.5) means mix 0.5 quart of red paint with 1 quart of green paint.

a)

True

b)

False

33.

True/False: The point (2,1) means to mix 1 quart of green paint with 2 quarts of red paint.

a)

True

b)

False

34.

True/False: The point (4,2) means to mix 2 quarts of red paint with 4 quarts of green paint.

a)

True

b)

False

35.

True/False: The point (0,0) means that 0 blocks were walked in 0 minutes.

a)

True

b)

False

36.

Which of the following ordered pairs represents the unit rate?

a)

(1, 2)

b)

(2, 1)

c)

(5, 10)

d)

(10, 5)

37.

True/False: The ordered pair (4, 2) means that 2 cookies cost $4.

a)

True

b)

False

38.

True/False: The point (4 , 2) means that 4 cookies were purchased for $2.

a)

True

b)

False

39.

Does this equation represent a proportional relationship?

a)

Yes

b)

No

40.

Does this equation represent a proportional relationship?

a)

Yes

b)

No

41.

Select all the proportional equations.

a)

y = 3x

b)

j = -1/2 h

c)

d = 19 - 0.25c

d)

a = x - 2

e)

2.5f = g

42.

What is the constant of proportionality of the equation below?
 y=9.3xy=9.3x  

a)

9.3

b)

3

c)

9

d)

9.3x

43.

Proportional or Non-Proportional?

a)

Proportional

b)

Non-Proportional

44.
Which equation shows a NON-proportional relationship of x and y?
a)
y = 5x
b)
y = 2.5x
c)
y = x + 3
d)
y = 1/2x
45.

Determine which of the following equations represent a proportional relationship. Select all that apply.

a)

y=3x−8y=3x-8

b)

y=14xy=\frac{1}{4}x

c)

y=5xy=5x

d)

y=0.7x+8.8y=0.7x+8.8

e)

y=0.5xy=0.5x

46.

Is this equation y = 14x showing proportionality?

a)

yes

b)

no

47.
Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day. 
a)
Proportional
b)
Non-Proportional
48.
Shawn makes $7.50 an hour to babysit for his next door neighbors.  Describe the graph of this relationship.
a)
Proportional
b)
Non-proportional
49.

What is the constant of proportionality?

y= 3.75x + 2

a)

0

b)

2

c)

3.75

d)

there isn't one

50.
Does the equation show a proportional relationship?
a)
Yes
b)
No
51.

What is the equation for a proportional relationship?

a)

y=kx

b)

x=y

c)

y=k+x

d)

k=x+y

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