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Direct Variation quiz

Total questions: 31

Worksheet time: 53mins

Name
Class
Date
1.

Does the following graph represent a proportional relationship? (Make sure to read the reason to pick the best answer.)

a)

Yes. It is a straight line.

b)

No. Even though it is a straight line, it does not go through the origin.

c)

Yes, it has a negative slope.

d)

No, It goes through the origin and is a straight line.

2.

Does the following graph represent a direct variation? (Read each reason carefully. Pick the best answer.)

a)

No, it is a straight line, but does not go through the origin.

b)

No, it goes through the origin, but is not a straight line.

c)

Yes, it's y-intercept is 3.

d)

Yes, the line is straight, and it goes through the origin.

3.

Name the constant of proportionality (k) for the equation.


y = 5x

a)

1/5

b)

5

c)

.5

d)

-5

4.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

5.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

4

d)

-4

6.

1. State what type of variation the equation represents.

a)

Direct Square Variation

b)

Direct Variation

c)

Inverse Variation

d)

Joint Variation

7.

2. Find the missing value of a direct variation table.

a)

1

b)

2

c)

4

d)

8

8.

3. If m varies directly as p, and m = 35 when p = 5, find m when p is 6.

a)

42

b)

7

c)

5

d)

30

9.

4. The graph of a direct variation is always parallel to the x axis

a)

TRUE

b)

FALSE

10.

If the constant of variation (direct) is equal to 5 and the value of x is 10. Find the value of y.

a)

2

b)

50

c)

1/2

d)

25

11.

7. What letter is used to represent the "constant" in an equation of variation?

a)

c

b)

k

c)

x

d)

y

12.

If x is directly proportional to y, and x = 32 when y = 16, what is x when y = 9?

a)

18

b)

2

c)

2/9

d)

4

13.
Which graph shows a proportional relationship between x and y?
a)
A
b)
B
c)
C
d)
D
14.
Write an equation for this relationship.
a)
y = 4x
b)
y = 1/8x
c)
y = 1/4x
d)
y = 8x
15.
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
16.
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
17.
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
18.
Is this a direct variation?
y = 2x
a)
yes
b)
no
19.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
20.
Does the relationship represent direct variation?
a)
Yes
b)
No
21.
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
22.
What ordered pair does a direct variation always go through when graphed?
a)
(0, 0)
b)
(1, 0)
c)
(0, 1)
d)
(1, 1)
23.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
24.
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
25.
Is this a direct variation?
a)
yes
b)
no
26.
Is this a direct variation?
a)
yes
b)
no
27.
 Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
28.
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
29.
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours? 
a)
$394
b)
$440
c)
$472.80
d)
$512.20
30.
A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 12 loads? 
a)
60 gallons
b)
780 gallons
c)
156 gallons
d)
12/13 gallons
31.
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