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Variation / Functions SOL Review

Total questions: 14

Worksheet time: 4hrs 30mins

Name
Class
Date
1.
Which graph shows direct variation?
a)
A
b)
B
c)
C
d)
D
2.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
0.15
b)
117
c)
58.5
d)
26
3.
If y varies inversely with x and if y = 15 when                x = 32, find y when x = 12.
a)
25.6
b)
40
c)
5.63
d)
5760
4.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
xy=16
5.
The equation 
xy =  25  represents:
a)
direct variation
b)
inverse variation
c)
Neither
6.
The depth of a lake, d, varies directly with r, the amount of rainfall last month.  If k is the constant of variation, which equation represents the situation?
a)
d = r/k
b)
d = k + r
c)
d = kr
d)
r = kd
7.
The given point represents an element of direct variation.  Which of the following would be another point on this direct variation graph?
a)
(5, 2)
b)
(0, 0)
c)
(-2, -1)
d)
(1, 8)
8.
The following points represent an inverse variation:  (2, 12) , (1, 24) , (3, 8).  Which of the following could be another point that fits?
a)
(3, 9)
b)
(5, 5)
c)
(-12, 2)
d)
(4, 6)
9.

Write the function rule for the following table.

a)

y = 5x

b)

y = 5x + 1

c)

y = x + 5

d)

y = x + 1

10.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
11.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
12.

What is the range of the graph?

a)

{y: y≥1}

b)

{x: x ≥ 1}

c)

{All real numbers}

d)

none of these

13.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
14.

What is the greatest value (largest number) in the range for the function y = -2x+4 when the domain is {-5, -1, 5, 1}

a)

2

b)

18

c)

14

d)

6