WorksheetsDirect & Inverse Variation
Total questions: 16
Worksheet time: 23mins
Name
Class
Date
1.
What does the Direct Variation Equation look like?
a)
y= kx
b)
y = mx + b
c)
y = b
d)
y = x
2.
Which of the following represents indirect variation?
a)
y = kx
b)
y = k/x
c)
y = x/k
d)
y = mx + b
3.
a)
direct variation
b)
inverse variation
c)
neither direct nor inverse variation
4.
a)
direct variation
b)
inverse variation
c)
neither direct nor inverse variation
5.
What kind of equation is this?
xy=8
xy=8
a)
Linear Equation
b)
Direct Variation
c)
Inverse Variation
d)
Joint Variation
6.
What is the constant (k) in this inverse variation?
a)
12
b)
24
c)
48
d)
Not enough information given
7.
Is the given table a direct variation? If so, what is the constant of variation?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
8.
Is the given table a direct or inverse variation? What is the constant of variation?
a)
Direct, 12
b)
Inverse, 12
c)
Direct, 1/12
d)
Inverse, 1/12
9.
Which of the following is NOT a direct variation?
a)
y = -2x
b)
y = 1/2x
c)
2x + 3y = 2
d)
3y = 4x
10.
Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.
If y = 150 when x = 2, find y when x = 25.
a)
300
b)
75
c)
1,875
d)
12
11.
What type of variation does this scenario represent?
The length of time you charge your cell phone
and the battery power
The length of time you charge your cell phone
and the battery power
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
12.
What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
13.
The gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm) when the chamber is at 50 degrees, what is the pressure in the chamber when the temperature of the chamber is 75 degrees?
a)
175 atm
b)
200 atm
c)
225 atm
d)
275 atm
14.
y varies directly as x, if y=12 when x=5, find y when x=3
a)
36/5
b)
15/12
c)
12/5
d)
12/15
15.
Which equation represents an inverse variation?
a)
y = 40/x
b)
y = 40x
c)
y/x = 40
d)
x = y/40
16.
The width of a rectangle varies inversely with its length. if the width is 4 when the length is 18, find the width when the length is 8.
a)
9
b)
72
c)
36
d)
2
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