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Worksheets

REMEDIAL

Total questions: 285

Worksheet time: 5hrs 45mins

Name
Class
Date
1.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
2.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
3.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
4.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
5.
a)
Function
b)
Not a Function
6.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
7.
a)
Function
b)
Not a Function
8.
a)
Function
b)
Not a Function
9.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
10.
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}
11.
Is this graph a function and how can you tell?
a)
Yes its a function cause it doesn't cross itself
b)
No it's not a function because it goes through the origin
c)
No it's not a function because the x value 4 has y values of  -2 & 2
d)
No it's not a function because the y value 4 has x values of  -2 & 2
12.
Is this mapping a function and how can you tell?
a)
Yes its a function cause all the numbers have lines
b)
No it's not a function because there a 5 in both ovals
c)
No it's not a function because the x value 5 has y values of  2 & 9
d)
No it's not a function because the y value 5 has x values of  2 & 9
13.
Is this table a function and how can you tell?
a)
Yes its a function because there are not variables for missing numbers
b)
No it's not a function because the y value 4 repeated
c)
No it isn't a function because the x value 2 is repeated
d)
No it's not a function because the x value 5 has y values of  10 & 12
14.
Which of the following guarantees a table will not be a function?
a)
A x value repeats
b)
An y value repeats
c)
An x value repeats and has different y values
d)
A y value repeats and has different x values
15.
Is this set of ordered pairs a function and how can you tell?
a)
Yes its a function because no y values repeat
b)
No it's not a function because there are negative numbers
c)
No it isn't a function because an x value repeats but has different y values 
d)
No it isn't a function because an y value repeats but has different x values
16.
Which of the following guarantees a set of ordered pairs will not be a function?
a)
An x value repeats
b)
A y value repeats
c)
An x value repeats and has different y values
d)
A y value repeats and has different x values
17.
Which of the following guarantees a table will not be a function?
a)
An x value repeats
b)
A y value repeats
c)
An x value repeats and has different y values
d)
A y value repeats and has different x values
18.
Which of the following guarantees a mapping will not be a function?
a)
A x value repeats
b)
An y value repeats
c)
An x value has two or more arrows leaving it
d)
A y value has two or more arrows arriving at it
19.
Which of the following best describes a function?
a)
A special relationship where each x and y are individually paired
b)
A special relationship where each x value has only one y value 
c)
A special relationship where each y value has only one x value 
d)
A special relationship where each the x and y value and always equal 
20.
How do you administer a vertical line test.
a)
You don't only doctor's are allowed to do those
b)
Draw lines straight across your graph and see if any hit the graph more than once
c)
Draw lines straight down your graph and see if any hit the graph more than once
d)
Check to see if the graph is a vertical line( straight up)
21.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
22.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
23.
A relation where every input in matches with exactly one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
24.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
25.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
26.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
27.
a)
Function
b)
Not a Function
28.
a)
Function
b)
Not a Function
29.
a)
Function
b)
Not a Function
30.
a)
Function
b)
Not a Function
31.
If my function rule is x + 3, what is the OUTPUT if the input is 4?
a)
4
b)
3
c)
7
d)
10
32.
If my function rule is 4x, what is the OUTPUT if the input is 5?
a)
45
b)
54
c)
9
d)
20
33.
If my function rule is 2x + 1, what is the OUTPUT if the input is 2?
a)
5
b)
4
c)
22
d)
23
34.
If my function rule is x - 5, what is the OUTPUT if the input is 14?
a)
9
b)
19
c)
21
d)
1
35.

If my function rule is x÷3, what is the OUTPUT if the input is 12?

a)

9

b)

4

c)

3

d)

36

36.
If my function rule is x - 4, what is my INPUT if the output is 7?
a)
11
b)
10
c)
3
d)
7
37.
If my function rule is x + 8, what is my INPUT if the output is 20?
a)
10
b)
12
c)
8
d)
28
38.
If my function rule is 5x, what is my INPUT if the output is 10?
a)
1
b)
50
c)
2
d)
15
39.
If my function rule is x ÷ 2, what is my INPUT if the output is 3?
a)
6
b)
12
c)
1.5
d)
1
40.
If my function rule is x + 9, what is my INPUT if the output is 17?
a)
8
b)
6
c)
26
d)
16
41.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
42.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
43.
What is the algebraic equation for this table?
a)
y = 480x
b)
x = y/480
c)
x + 480 = y
d)
480 - x = y
44.
What are the independent quantities in the table?
a)
{5,6,7,8,9}
b)
{0,1,2,3,4}
c)
x
d)
y
45.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
46.
Which function is linear?
a)
y = 2x + 4
b)
y = 2x2 + 4
c)
y = 2x(4 − 3x)
d)
xy = 15
47.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
48.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
49.
a)
Function
b)
Not a Function
50.
a)
Function
b)
Not a Function
51.
a)
Function
b)
Not a Function
52.
a)
Function
b)
Not a Function
53.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
54.
If f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
55.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
56.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
57.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
58.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
59.

Is this function linear or nonlinear?

a)

linear

b)

nonlinear

60.
Is this function linear or nonlinear?
a)
linear
b)
nonlinear
61.
p(x) = 3x + 4
q(x) = 2x2
Find p(p(-3))
a)
-9
b)
7
c)
-11
d)
None of these
62.
p(x) = 3x + 4
q(x) = 2x2
Find p(q(x))
a)
10x2
b)
18x2 + 4
c)
6x2 + 4
63.
a)
3
b)
1
c)
4
d)
None of the Above
64.
a)
7
b)
6
c)
11
d)
None of the Above
65.
a)
6
b)
8
c)
15
d)
None of the Above
66.
g(x)=3x+4
h(x)=3x-1
Find g(h(x))
a)
-9x+11
b)
4x2+4x
c)
9x+1
d)
9x+11
67.
f(x)=x2-4
h(x)=3x+3
f(h(x))
a)
3x2-9
b)
12x2+8x+5
c)
16x2-36x+20
d)
9x2+18x+5
68.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
69.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))
a)
16
b)
4
c)
-4
d)
None of these.
70.
Given f(x) = x2 - 3 and g(x) = x - 3, find f(g(f(3))).
a)
0
b)
3
c)
6
d)
9
71.

If f(x) = 3x + 1, then what does f(2) =

a)

5

b)

6

c)

7

d)

8

72.

If f(x) = 1/2x + 5, what does f(10) =

a)

8

b)

9

c)

10

d)

11

73.

If f(x) = 2x + 5 what does f(3) =

a)

9

b)

10

c)

11

d)

12

74.

If f(x) = 1/2x , then what does f(40)=

a)

10

b)

20

c)

30

d)

40

75.

If f(x) = x/2, what is f(8)

a)

3

b)

5

c)

8

d)

4

76.

If f(x) = x+7, what does f(5) =

a)

9

b)

10

c)

11

d)

12

77.

If f(x) = x+7, what does f(5) =

a)

9

b)

10

c)

11

d)

12

78.

If f(x) = x+7, what does f(5) =

a)

9

b)

10

c)

11

d)

12

79.

If f(x) = x+7, what does f(5) =

a)

9

b)

10

c)

11

d)

12

80.

If f(x) = x+7, what does f(5) =

a)

9

b)

10

c)

11

d)

12

81.

If f(x) = x+7, what does f(5) =

a)

9

b)

10

c)

11

d)

12

82.

If f(x) = x+7, what does f(5) =

a)

9

b)

10

c)

11

d)

12

83.

If f(3) = 12, which of the following could be a solution for the equation f(x).

a)

f(x) = 2x + 12

b)

f(x) = 3x

c)

f(x) = 3x + 3

d)

f(x) = x + 10

84.

If f(x) = 10x - 5, what does f(2) =

a)

10

b)

15

c)

20

d)

25

85.

What type of function is represented by the picture?

a)

Quadratic

b)

Exponential

c)

Square Root

d)

Cubic

86.

What type of function is pictured

a)

Quadratic

b)

Cubic

c)

Square Root

d)

Not a Function

87.

What type of function is in the picture?

a)

Quadratic

b)

Cubic

c)

Square Root

d)

Absolute Value

88.

What type of function is in the picture?

a)

Quadratic Functino

b)

Cubic Function

c)

Square Root Function

d)

Absolute Value Function

89.

What is the vertical line test?

a)

A graph is not a function if you can draw a vertical line and it crosses the graph in more than 1 location

b)

A Graph is a function if it can be altered to make a linear equation.

c)

A graph is a function if you can create a vertical line that adheres to the equation y=mx+b

d)

Stay within the vertical lines

90.
a)
y = -10x
b)
y = -13x
c)
y = -22x 
d)
y = 13x 
91.
a)
-1
b)
1
c)
2
d)
-2
92.
a)
y = 8x - 3 
b)
y = 9x -3
c)
y = x - 3
d)
y = 2x - 3 
93.
Write an equation for this relation.
a)
y = -5x 
b)
y = -5x + 1
c)
y = 5x
d)
y = 5x - 1
94.
Write an equation for this relation. 
a)
y = x - 41
b)
y = 11x + 1
c)
y = x + 41
d)
y = 12x - 3
95.
Write the equation for this relation. 
a)
y = -2x
b)
y = x - 4
c)
y = 2x - 5
d)
y = 2x + 4
96.
State the domain of the relation.
a)
{ 8, -6, 2, 0 }
b)
( 8, -6, 2, 0 )
c)
(5, -9, 5, -8)
d)
{ 5, -9, 5, -8 }
97.
State the range of the relation. 
{ (3, -2) , (4, -3), (5, -4), (6, 0) }
a)
(3, -2, 4, -3)
b)
(-2, -3, -4, 0)
c)
{ -2, -3, -4, 0 }
d)
{ 3, 4, 5, 6 }
98.
Evaluate the expression if a = -6, b = 2, and c = -10.
2a2 - c + 4b
a)
-54
b)
80
c)
70
d)
86
99.
The relation that is represented by the equation y = 20 - 2x has the domain {3 , 4, 5, 6}. Which of the following sets is the range of the relation?
a)
{3, 4, 5, 6}
b)
{8, 10, 12, 14}
c)
{12, 13, 14, 15}
d)
{14, 16, 18, 20}
100.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
101.
A relation where every input yields one and only one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
102.
Which relation is NOT a function?
a)
{(1,-5), (3,1), (-5,4), (4,-2)}
b)
{(2,7), (3,7), (4,7), (5,8)}
c)
{(1,-5), (-1,6), (1,5), (6,-3)}
d)
{(3,-2), (5,-6), (7,7), (8,8)}
103.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
104.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
105.
Is this a function? 
a)
Yes
b)
No
106.
Which of the following is not a function?
a)
{(0,1), (1,2), (2,3), (3,4)}
b)
{(0,2), (1,3), (4,3), (1,2)}
c)
{(1,3), (4,2), (2,0), (3,4)}
d)
{(1,2), (2,2), (3,2), (4,2)}
107.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
108.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
109.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
110.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
111.
Is relation shown a function?
a)
YES
b)
NO
112.
Is relation shown a function?
a)
YES
b)
NO
113.
Is the relation a function?
a)
YES
b)
NO
114.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
115.
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:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
116.
A school randomly chose ten English teachers and asked them which type of juice their students would prefer. Which reason best shows why this sample is biased?
a)
The sample didn't include students.
b)
The sample is too small.
c)
The sample can only be accurate if each teacher is included in the sample
117.

Does this relation represent a function?

a)

No

b)

Yes

118.
At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?
a)
to randomly ask 8th grade students who went on a field trip last year
b)
to randomly choose some 7th grade students to select a location
c)
to ask all 7th grade teachers and administrators for a location
d)
to ask the student council to choose a location
119.
Kim surveys 100 moviegoers that entered the movie theater in the first hour.  What type of sampling method is this?
a)
Random
b)
Convenience
c)
Biased
d)
Self-Selected
120.
Which type of relation is the following mapping diagram?
a)
one-to-one 
b)
one-to-many 
c)
many-to-one
d)
many-to-many
121.
Is relation shown a function?
a)
YES
b)
NO
122.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; it does not pass the vertical line test
123.
Is the relation a function?
a)
Function
b)
Not a Function
124.

A relation where every input in matches with exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

125.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

126.

What is the range?

a)

the set of all x-values

b)

the set of all y-values

127.
Which type of relation is shown?
a)
one-to-one
b)
one-to-many
c)
many-to-one
d)
many-to-many
128.
What type of relation does the mapping diagram show?
a)
one-to-one
b)
one-to-many
c)
many-to-one
d)
many-to-many
129.
What type of relation does the mapping diagram show?
a)
one-to-one
b)
one-to-many
c)
many-to-one
d)
many-to-many
130.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
131.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
132.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function 
133.
This is a one-to-many relation. Is it a function??
a)
Function
b)
Not a Function
134.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
135.
What type of relation is shown in the mapping diagram?
a)
one-to-one
b)
one-to-many
c)
many-to-one
d)
many-to-many
136.
What type of relation is shown in the mapping diagram?
a)
one-to-one
b)
one-to-many
c)
many-to-one
d)
many-to-many
137.
What type of relation is shown in the mapping diagram? 
a)
one-to-one
b)
one-to-many
c)
many-to-one
d)
many-to-many
138.
What is the X-Intercept?
a)
x= 0
b)
x= 4
c)
x= 5
d)
x= -5
139.
What are the x-intercepts?
a)
x= 2/3
b)
x= 4, x = -2
c)
x= -8, x = 1
d)
x= -4, x = 2
140.
What are the asymptotes?
a)
x=1, x= 2, y =1, y= 2
b)
x= 2, x=-2, y = 1
c)
x=2 y =-1
d)
x=1 y =2, y =-2
141.
What is the horizontal asymptote? 
a)
x = 2
b)
x = 7
c)
y = 2
d)
y = 7
142.
What is the horizontal asymptote of the function given?
a)
y = 2
b)
x = 1
c)
x = 2
d)
y = -1
143.
What is the horizontal asymptote to this function?
a)
y=4
b)
y=0
c)
y=-2
d)
y=1
144.
What is/are the vertical asymptote(s)?
a)
x=-2
b)
x=2 and x=3
c)
x=-3
d)
x=3
145.
a)
y = 0
b)
y = 1/2
c)
y = 2
d)
None
146.
What is the horizontal asymptote?
a)
y = -4
b)
y = 1
c)
x = 1
d)
y = -6
147.
Find the horizontal asymptote.
a)
None
b)
y=-2
c)
y=2
d)
y=0
148.
What is the horizontal asymptote of this function?
a)
y=2
b)
x=1/2
c)
y=1
d)
y=1/2
149.
What is the Vertical Asymptotes? 
a)
x= -5
b)
x= 5
c)
x= 6
d)
x= -6
150.
What is the Vertical Asymptotes?
a)
x= -4
b)
x= -4,5
c)
x= -5,5
d)
x= 4
151.

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

a)
b)
c)
d)
152.

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

a)
b)
c)
d)
153.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 2

d)

y = 4

154.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 1

d)

y = 9

155.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 1/2

d)

y = 1

156.

What's the vertical asymptote of the function?

a)

x = -9

b)

x = 9

c)

x = 3 , x = -3

d)

x = 3

157.

What's the vertical asymptote of the function?

a)

x = 5

b)

x = 0

c)

x =5 , x = -5

d)

x = 25

158.

What's the vertical asymptote of the function?

a)

x = 4

b)

x = 16

c)

x = 4 , x = -4

d)

No vertical asymptote

159.

What's the vertical asymptote of the function?

a)

x = -4, x = 1

b)

x = 4, x = -1

c)

x = -4, x = -1

d)

x = 4, x = 1

160.

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

a)
b)
c)
d)
161.
What are the asymptotes?
a)
x = -3        y = 1  
b)
x = 3         y = 1
c)
x = -3        y = -1
d)
x = 3         y = -1
162.
what is the equation that best matches the graph?
a)
A
b)
B
c)
C
d)
D
163.
What is/are the vertical asymptote(s)?
a)
There are no vertical asymptotes
b)
x=5
c)
x=-5
d)
x=-1/2
164.
What is the horizontal asymptote of the function given?
a)
y = 2
b)
x = 1
c)
x = 2
d)
y = 1
165.
What are the Vertical Asymptotes of...
a)
x = 0, -5
b)
x=0, 5
c)
x = 2, -7
d)
x = -2, 7
166.
What is the Horizontal Asymptote?
a)
None
b)
y= 0
c)
y= 1
d)
y= 5/4
167.
What is the hole?
a)
x= 4
b)
x= -4
c)
x= 5
d)
x= -5
168.
What is the Vertical Asymptotes? 
a)
x= -5
b)
x= 5
c)
x= 6
d)
x= -6
169.
Find the horizontal asymptote.
a)
None
b)
y = 0
c)
y = -1/3
d)
y = -3
170.
Which asymptote(s) are determined by looking at the denominator?
a)
vertical
b)
horizontal
c)
slant
d)
none
171.

Determine whether the graph of the function has a vertical asymptote or a removeable discontinuity at x = -1.

a)

Vertical Asymptote

b)

Discontinuity

c)

Hump Day

d)

Infinite

172.

How many discontinuities does f(x) have?

a)

None

b)

1

c)

2

d)

3

173.
What is/are the x-intercepts of this graph?
a)
(-2,0) and (2,0)
b)
(-2,0)
c)
(3,0)
d)
(2,0) and (3,0
174.
Where is the hole in this graph?
a)
x = -3
b)
x = 3
c)
x = 5
d)
None
175.
What is the domain and range?
a)
D : All real number x ≠ -3
R: All real number y≠ 1
b)
D : All real number x ≠ 1
R: All real number y≠ -3
c)
D : All real number x ≠ 3
R: All real number y≠ 1
d)
D : All real number x ≠ -1
R: All real number y≠ 3
176.
a)
None
b)
x = 2
c)
x = 3
d)
x = 4
177.
What is the horizontal asymptote? 
a)
x = 2
b)
x = 7
c)
y = 2
d)
y = 7
178.
Solve the equation for x.
a)
7
b)
6
c)
14
d)
0
179.
Solve the equation for x.
a)
6
b)
12
c)
0
d)
3
180.
Solve for v
a)
- 7/6
b)
- 9/5
c)
9/5
d)
-3
181.
Solve for r
a)
5
b)
- 5, 4
c)
- 5
d)
5, 4
182.
Solve and check for extraneous solutions
a)
x=5
b)
x= -5
c)
No Solution
183.
Solve and check for extraneous solutions
a)
x= - 3 &x= -8
b)
x= -3 & -8 is extraneous 
c)
No Solution
d)
x= -8 & -3 is extraneous 
184.

Solve.

a)

x = 5

b)

x = -3

c)

x = 3

d)

x = -5

185.

Solve.

a)

x = 4.5

b)

x = -4.5

c)

x = 3

d)

x = -3

186.

Solve for y

a)

y = -9

b)

y = -3

c)

y = 1

d)

y = 3

187.
Solve for x
a)
6
b)
17/5
c)
19/2
d)
- 6
188.
Solve by cross-multiplying
a)
x = 6
b)
x = -6
c)
x = 6/7
d)
x = -6/7
189.
Solve the equation for x.
a)
6
b)
12
c)
0
d)
3
190.
Solve!
a)
x = 2
b)
x = 6
c)
x = 4
d)
x = 8
191.
Solve by cross-multiplying.
a)
x = 2
b)
No Solution
c)
x = -10
d)
x = 10
192.

Solve for x

a)

1.5

b)

-1.5

c)

.67

d)

-.67

193.

Solve for x

a)

4.5

b)

-6.5

c)

.75

d)

-5.5

194.
Solve:
a)
x = 2
b)
No Solution
c)
x = -10
d)
x = 10
195.
a)
x = -1
b)
x = 1
c)
x = -9
d)
x = 9
196.

Solve for x

a)

4

b)

2

c)

-2

d)

-4

197.

Solve for x

a)

2

b)

8

c)

16

d)

1.33

198.
Solve for x
a)
x = 6, -3
b)
x = 6
c)
x = -3
d)
x = -6, 3
199.
Solve for x
a)
A
b)
B
c)
C
d)
D
200.
Solve by cross-multiplying.
a)
x = -1, 5
b)
No Solution
c)
x = -4, 5
d)
x= -4
201.
Solve 
a)
x = 0 , 4
b)
x = 1 , 3
c)
x = -4 , 0
d)
x = 5 , 2
202.
Solve for x.
a)
2
b)
18/5
c)
26/5
d)
6
203.
a)
x = 8.9
b)
x = 16
c)
x = 9
d)
x = 12
204.
a)
x = 2
b)
x = 3/4
c)
x = 4
d)
x = 1/2
205.
For which value is the expression undefined?
a)
-4
b)
-3
c)
3
d)
0
206.
State the domain restrictions. 
a)
x ≠ -2
b)
x ≠ 2, 1
c)
x ≠ 2, -1
d)
x ≠ -2, 2, 1
207.
What value(s) make the expression undefined?
a)
x = - 3 and x = 4
b)
x = 3 and x = - 4
c)
x = 3 only
d)
x = - 4 only
208.
State the domain restrictions. 
a)
x ≠ 3
b)
x ≠ 0, 3, 4
c)
x ≠ 0, 4
d)
x ≠ 4
209.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
210.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
211.
Solve the inequality.
30 + n ≥ 50
a)
x > 50
b)
x > 80
c)
x < 30
d)
x > 20
212.
Solve:
8 - 3k < 8(1 - 7k)
a)
k < 5
b)
k > 5
c)
k < -33
d)
k < 0
213.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
214.
Solve the inequality:
-2x + 5 < x - 7. Which value is in the solution set?
a)
2
b)
4
c)
-1
d)
5
215.
When 4 times a number is increased by 40, the answer is the same as when 100 is decreased by the number.  Find the number.
a)
12
b)
-47
c)
-13
d)
45
216.
Eight times a number increased by 9 is the same as 15 more than 7 times the number.  Find the number.
a)
6
b)
-7
c)
1
d)
2
217.
When 4 times a number is increased by 40, the answer is the same as when 100 is decreased by the number.  Find the number.
a)
12
b)
-47
c)
-13
d)
45
218.
a)

(-2, 1)

b)

(-oo, -2) u (1,2)

c)

(1,2) u (2, oo)

d)

(-oo, -2] u [1,2]

219.
a)

[-3, -1/2] [1, oo)

b)

[1,2]

c)

(-oo, -3) u (-1/2, 1)

d)

(-3, -1/2) u (1, oo)

220.
a)

[-1, 1]

b)

(-oo, -1) u (1, oo)

c)

(-1, 1)

d)

[1, oo)

221.
a)

(-oo, -4) u (3, oo)

b)

(-4, 3)

c)

[-4, 3]

d)

(-oo, -4] u [3, oo)

222.
The inverse has been reflected over which line?
a)
y = x
b)
x = 0
c)
y = 0
d)
x = -y
223.

Which of the following is NOT TRUE about inverse functions?

a)

Inverse functions are reflections of each other over the line y = x.

b)

You find the inverse by switching x and y in the equation.

c)

The domain of a function always becomes the domain of its inverse.

d)

The domain of a function always becomes the range of its inverse.

225.
What are the missing values if g(x)=f-1(x)?
a)
(9,-5)
b)
(-9,-5)
c)
(5,9)
d)
(-9,5)
225.
What are the missing values if g(x)=f-1(x)?
a)
(9,-5)
b)
(-9,-5)
c)
(5,9)
d)
(-9,5)
226.

What is the best description?

a)

They are both functions, but not inverse functions.

b)

They are reflected over y=x, but they are not both functions.

c)

They are not reflected over y=x, and they are not both functions.

d)

They are inverse functions.

227.

What's the best description?

a)

They are both functions, but not inverse functions.

b)

They are reflected over y=x, but they are not both functions.

c)

They are not reflected over y=x, and they are not both functions.

d)

They are inverse functions.

228.

What's the best description?

a)

They are both functions, but not inverse functions.

b)

They are reflected over y=x, but they are not both functions.

c)

They are not reflected over y=x, and they are not both functions.

d)

They are inverse functions.

229.

What is the best description?

a)

They are both functions, but not inverse functions.

b)

They are inverse functions.

c)

They are reflected over y=x, but they are not both functions.

d)

They are not reflected over y=x, and they are not both functions.

234.

Which graph represents f-1(x) over the same domain?

a)
b)
c)
d)
231.

Which is f -1(x)?

a)

f -1(x) = 3x + 5

b)

f -1(x) = 3x - 5

c)

f -1(x) = 3x - 15

d)

f -1(x) = 3x + 15

232.

Which is f -1(x)?

a)

f -1(x) = 5x + 3

b)

f -1(x) = 5x - 3

c)

f -1(x) = 5x - 15

d)

f -1(x) = 1/5(x) + 3/5

233.

f(x) = -4x - 12

What is f-1(x)?

a)

f-1(x) = 4x - 3

b)

f-1(x) = -1/4x - 3

c)

f-1(x) = 1/4x + 3

d)

f-1(x) = -4x - 3

234.

Which graph represents f-1(x) over the same domain?

a)
b)
c)
d)
235.

Which graph represents the functions f(x) and f-1(x)?

a)
b)
c)
d)
236.
a)
b)
c)
d)
237.
a)
b)
c)
d)
238.
a)
b)
c)
d)
239.

How must the domain of f(x) be restricted such that g(x)=f-1(x) ?

a)

x ≤ -4

b)

x ≥ -4

c)

x ≤ 0

d)

x ≥ 0

240.

Which graph represents the functions f(x) and f-1(x)?

a)
b)
c)
d)
241.
Are these inverse functions?
a)
yes
b)
no
c)
no way to tell
242.
Find the inverse of f(x) = 3x +8
a)
f-1(x) = 3(x-8)
b)
f-1(x) = (8x-1)/3
c)
f-1(x) = (x-8)/3
d)
f-1(x) = (x+8)/3
243.
f(x)=x+3
f(-5)
a)
-2
b)
-1
c)
-7
d)
7
244.
Evaluate f(-5) if f(x) = -2x - 12
a)
-22
b)
-2
c)
-19
d)
-5
245.
If f(x) = 3/ (2x-5), then find the value of and f⁻¹(1)?
a)
5
b)
4
c)
-1
d)
-7
246.
Evaluate the function for the given value:
a)
-2
b)
70
c)
48
d)
96
247.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
248.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
249.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
250.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
251.
Simplify the following exponential expression:
(3x4)(5x3)
a)
15x12
b)
8x7
c)
8x12
d)
15x7
254.

Which variable represents time passed in the function y=abx?

a)

y

b)

a

c)

b

d)

x

253.

What is the asymptote of the parent function y=2x?

a)

x=0

b)

y=0

c)

x=2

d)

y=2

254.

Which variable represents time passed in the function y=abx?

a)

y

b)

a

c)

b

d)

x

255.

Solve the exponential function: 5x + 7 = 32

a)

x = 25

b)

x = 6

c)

x = 9

d)

x = 2

256.

2x - 5 = 12

a)

x = 8.5

b)

x = 4.1

c)

x = 6.2

d)

x = 3.9

257.

Use a LOG to solve the exponential function: 4x = 19

a)

x = 2.1

b)

x = 4.8

c)

x =5.2

d)

x = 1.4

258.
Solve the exponential function using a LOG.
3x = 30
a)
x = 10
b)
x = 2.98
c)
x = 3.10
d)
x = 4.22
259.
Solve the natural logarithm using LN.
ex = 12
a)
x=2.48
b)
x = 1.79
c)
x = 6
d)
x = 3.45
260.

Use a LOG to solve the Exponential Function.

5x - 3 = 9

a)

x = 7

b)

x = 2.14

c)

x = 1.54

d)

x = 5.33

261.
Solve the exponential function using a Natural Logarithm (LN)
ex + 8 =14
a)
x = 1.79
b)
x = 4.21
c)
x = -3.5
d)
x = 1.27
262.
Use a LOG to solve the exponential function.  
2x-1 + 5 = 20
a)
x = 3.91
b)
x = -0.46
c)
x = 4.91
d)
x = 5.31
263.

8x + 4 = 16

a)

x = 1.4

b)

x = 1.1

c)

x = 2.1

d)

x = 2.6

264.

Condense as a single logarithm. 2log34 +3log32

a)

6 log3 8

b)

8 log3 6

c)

log324

d)

log3128

265.
To solve 8 = 25x+7, you would need to re-write 8 as what base?
a)
8
b)
4
c)
2
d)
Cannot be determined
266.
To solve 36 = 6x, re-write 36 as what base and exponent?
a)
36
b)
63
c)
62
d)
312
267.
Solve 33 = 34x + 2
a)
¼
b)
-¼
c)
½
d)
-½
268.
23n = 4
a)
2
b)
3
c)
2/3
d)
4
269.
Solve: 7-x = 49
a)
x = 1
b)
x = -1
c)
x = 2
d)
x = -2
270.

Solve the logarithmic function: log7 (5x - 8) = log7 (2x + 10)

a)

x = -3

b)

x = 6

c)

x = No solution

d)

x = 4

271.

Solve the logarithmic function: log3(x + 5) = 2

a)

x = 14

b)

x = 4

c)

x = 11

d)

x = 6

272.

Solve the logarithmic function: log48x = 3

a)

x = 16

b)

x = 2

c)

x = 4

d)

x = 8

273.

Solve the logarithmic function: 4 + log3(x - 7) = 6

a)

x = 34

b)

x = 16

c)

x = 2

d)

x = 72

275.

-4+log3(x + 27) = 1

a)

x = 27

b)

x = 243

c)

x = 216

d)

x = 359

275.

-4+log3(x + 27) = 1

a)

x = 27

b)

x = 243

c)

x = 216

d)

x = 359

276.

log5(3x + 3) = log5(2x + 8)

a)

x = -4

b)

x = 5

c)

x = 1

d)

x= No solution

277.

log5 x - log56= 2

a)

x = 150

b)

x = 256

c)

x = 315

d)

x = 205

278.
log42 + log4x = 3
a)
x = 64
b)
x = 32
c)
x = 21
d)
x = 4
279.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
280.

Change to Logarithmic Form: (Hint: "L" time)

122 = 144

a)

log 2 144 = 12

b)

log 12 144 = 2

c)

log 12 2 = 144

d)

log 2 12 = 144

281.

Rewrite log28 = 3 in exponential form (Hint: Loop D Loop)

a)

28 = 3

b)

23 = 8

c)

32 = 8

d)

83 = 2

282.
Write as one logarithm. Simplify, if possible.
log39 + log327
a)
-1
b)
5
c)
4
d)
1
283.
Write as one logarithm. Simplify, if possible.
log2800 - log2100
a)
8
b)
3
c)
-3
d)
1
284.
Write as one logarithm. Simplify, if possible.
log5125 - log525
a)
1
b)
0
c)
5
d)
-1
285.
Find the value of y. log5 (25) = y
a)
y=1
b)
y=2
c)
y=3
d)
y=4