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Direct Variation

Total questions: 31

Worksheet time: 2hrs 48mins

Name
Class
Date
1.
 y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
2.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
3.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
4.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
5.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
6.
Is this a direct variation?
y=2x
a)
yes
b)
no
7.
Does the relationship represent direct variation?
a)
Yes
b)
No
8.
Which graph shows a proportional relationship between x and y?
a)
A
b)
B
c)
C
d)
D
9.
 y varies directly with x.
 y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k = 21
c)
k = 5.25
d)
k = 4/21
10.
In a direct variation, y = 39 when x = 3. 
Find the value of y when x = 2.
a)
26
b)
3
c)
58.5
d)
2
11.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
12.
y varies directly with x. When y = 39,  x = 3.  Find the value of y when x = 2.
a)
26
b)
3
c)
58.5
d)
2
13.
Is this a direct variation?
y = 2x
a)
yes
b)
no
14.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
15.
y varies directly with x. When y is 16, x is 32. Which equation represents this situation?
a)
y = 32x
b)
y = 16x
c)
y = 2x
d)
y = (1/2)x
16.
What ordered pair does a direct variation always go through when graphed?
a)
(0, 0)
b)
(1, 0)
c)
(0, 1)
d)
(1, 1)
17.

Does the following equation represent a direct variation?


-8y=2x

a)

Yes

b)

No

18.

Does the following equation represent a direct variation?


3x+4y = -5

a)

Yes

b)

No

19.

Suppose y varies directly with x when y =10 and x=2. What is x when y = 20?

a)

10

b)

80

c)

40

d)

4

20.

Suppose y varies directly with x when y=6 and x=18. What is y when x=72?

a)

20

b)

18

c)

24

d)

50

21.

Determine whether the following table is the graph of a direct variation.

a)

Direct Variation

b)

Not Direct Variation

22.

Determine whether the following table is a Direct Variation.

a)

Direct Variation

b)

Not Direct Variation

23.

Determine whether the following table is a direct variation.

a)

Direct Variation

b)

Not Direct Variation

24.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
25.
Is this table proportional?
a)
Yes
b)
No
26.
Which graph shows a proportional relationship between x and y?
a)
A
b)
B
c)
C
d)
D
27.
Is this proportional?
y = 7x + 3
a)
yes
b)
no
28.

The number of cookies Sadie can make varies directly with the amount of time she spends making the cookies. She can make 4 cookies in 1/2 hour. How many cookies can Sadie make in 5 hours?

a)

10

b)

2

c)

40

d)

2.5

29.

In an equation, y varies directly as x varies. If y= -40 when x=5, what is the value of x when y=-4?

a)

1/2

b)

-1/2

c)

1/4

d)

40

30.

In which table(s) does y vary directly as x? (Select all that apply.)

a)
b)
c)
d)
31.

In an equation, y varies directly as x varies. If y = 72, when x = 12, what is the value of x when y = 48?

a)

6

b)

8

c)

576

d)

No clue