Name ________________________________________
Period 1 2
3
4
5 6
7
Algebra 1 – Fall Semester Review
Show your work on each problem!!!
1 Select the correct use of the distributive
property.
A
5  x  1  5x  1
B 3  a  2  3a  6
C
4  2 y  1  8 y  4
D
3  p  8   3 p  16
4 Simplify the expression:
6   15   7 
A 28
B
16
C 28
D 2
5 Which equation is graphed below?
2 What is the first step in solving the linear
equation for x?
x
8
4
3 Draw an example of each type of slope.
Negative slope:
Positive slope:
Zero slope:
A
y  2x  6
B
y
C
y  2x  11
D
1
y x 6
2
1
x 6
2
6 The numbers 3 and 3 are called
_____________________.
No slope or undefined slope:
7 The opposite of -12 is:
8 Simplify:
6x  5 y  2z  y  z  3x
A 3x  4 y  z
B 9x  6 y  3z
A t  600
C 3x  6 y  3z
D
12 Round and Round Tire Company produces a
minimum of 600 tires per day in their Illinois
Factory. Which inequality best represents
this situation?
B t  600
3x  6 y  z
C t  600
9 What is the slope of the line shown in the
graph below?
D t  600
1
and contains the
3
point  6,5 . Write the linear equation in
13 The slope of a line is 
slope-intercept form.
A
2
3
B
3
2
C

D
2
3
1
 x  6
3
A
y 5  
B
1
y x 6
3
C
1
y   x 3
3
D
1
y   x 1
3
14 Solve:
4x  9  25
15 Solve:
36  10  2x
6
10 Find the x-intercept of the line 2x  6 y  24 .
11 Solve for x:
5  x   7 
A 13
B 13
A 12
B
2
C
2
D 35
C 26
D 24
18 Which property of real numbers is
demonstrated by:
22 Simplify:
8m  4n  5m  n  m
6  2x  3  12x  18
A Associative Property of Real Numbers
23 The graph of the line is shown below.
B Distributive Property of Real Numbers
C Transitive Property of Real Numbers
D Commutative Property of Real Numbers
19 Solve the linear equation for x:
21  x  37
20 Find the value of x if the perimeter of Kris’
flower bed below is 40 feet.
What is the slope of the graphed line?
2x
4x  6
4x  6
24 Find the slope of the line that passes
through the points  4,2  and  1,7  .
8
21 Draw the graph to represent the parent
linear function.
25 What value is the x-intercept of the line
4x  3 y  24
A 6
B
8
C
6
D 
Write the equation of linear parent function:
____________
3
4
26 Simplify the expression: 34   21   6 
27 What is the type of slope of the line below?
31 Sharla asked Sheryl to solve the equation
2x  5  4x  3 . Sheryl made a table to help
her solve the equation. Complete the table
and circle the x-value that represents the
solution to the equation that Sharla and
Sheryl are solving.
x
2x  5
4x  3
-11
2
1
0
A
positive slope
B negative slope
C undefined slope
5
1
2
9
3
4
13
D zero slope
2
and contains the
3
point  0, 3  . Write the equation of the line
28 The slope of a line is
32 What is the slope of the line on the graph?
in slope-intercept form.
29 Solve for x:
10  2x  6  3x
A positive
B negative
C undefined
D zero
30 What is the first step in solving for x:
x
 3
7
A add 3 to both sides of the equation
B multiply both sides 7
C subtract 7 from both sides
D multiply both sides of the equation by 7
33 Solve for x:
5 
1
x
2
34 Which equation describes the graph below?
39 Mrs. Thompson has saved $860 towards
holiday presents for her four children. She
plans to spend an equal amount on each of
her kids. Which inequality can be used to
find the amount x that she will spend on
each child?
A 4x  860
B x
4
860
A
y  3x  4
C 4  x  860
B
y  4x  3
D 4x  860
y  3x  4
1
D y x 4
3
C
35 Which ordered pair is the y-intercept of the
1
line y  x  3 ?
4
40 Solve the equation for x:
A
5
3
B 5
A
 3,0 
C
B
 0, 3
5
3
D
5
 1
C  0, 
 4
41 What is the answer when 0 is in the
3

denominator of a fraction?  Ex . 
0

1 
D  ,0 
4 
16  4x  8
36 Solve for x:
42 Simplify:
37 Simplify:
3x  5  10
5y  2  y  4
3a   4a  7 
A 7a  7
B
a  7
C 7a  7
D a 7
38 Solve the inequality: 2r  32
A
r  64
B
r  16
C
r  64
D
r  16
43 Given: f  x   3x 2  1 , evaluate f  2  .
44 What is the y-intercept of the line
48 What is the slope of the line on the graph?
y  5x  7 ?
45 What is the perimeter of the figure below?
5x  4
3x
4x  6
49 Solve the inequality: 5.5  x  3.2
A 4x  2
B 12x  2
C 4x  2
D 4x  2
46 Write an equation for the graph below.
50 Solve for x:
2
x  12
3
A 12
B 36
C
18
D 18
51 What is the perimeter of the figure below?
4x  9
x
0

4
47
A 0
B 4
C undefined
D
1
4
52 Solve for x:
A 2
B
9
2
C
9
2
D
2
6x  3
13  4x  5
53 Lisa asked Katrina to solve the equation
6x  3  2x  5 . Katrina made a table to help
her solve the equation. Complete the table.
x
6x  3
3
21
A 2x  3 y  9
2x  5
B y  2  3x  4
2
C 12 
3
1
58 Find the value of x if the perimeter of the
playland at McDonalds is 84 meters.
15
8
What is the value of x that makes the
equation true?
A
1
x 5
2
3
2
3
2
1
x y
3
4
D y
0
1
57 Identify which equation is in slope-intercept
form.
2
2x  3
B 0
12x
C 2
D 3
3x  5
54 Solve the equation for x:
14  3x  7
A 3
B 4
C 5
D 6
55 The point  2, 7  is located in which
quadrant?
A I
B II
C III
D IV
56 Given: f  x   4x  6 , evaluate f 3  .
A
6
B
13
C
18
D
18
59 Solve the inequality: 28 ≤ −14 + −6x
60 Name the quadrant in which the following
points are located.
 9, 8 
61
 5, 6 
 2, 8 
3, 7 
64 The scatterplot below shows the relationship
between the number of hours a student
watches TV and his test score. What is a
reasonable score to predict for a student who
watches TV for 2.5 hours?
Which graph represents the solution to the
inequality?
3x  12
A
-5 -4 -3 -2 -1 0 1 2 3 4 5
A 95
-5 -4 -3 -2 -1 0 1 2 3 4 5
B 76
B
C
C 92
-5 -4 -3 -2 -1 0 1 2 3 4 5
D 82
D
-5 -4 -3 -2 -1 0 1 2 3 4 5
65
Simplify:
9x  x 2  4  x  6x 2  7
A 5x 2  8x  3
B 5x 2  10x  3
62 Write a compound inequality for the
solution set shown below.
-10
8
C 6x 2  9x  3
D 5x 2  10x  11
66 Write the equation of a line in point–slope
form that has a slope of
through the point  3,7  .
4
and passes
3
63 Solve the inequality: x  16  9
A
x 7
B
x  25
C
x  25
D
x  7
67 Solve for x:
6x  3  2x  13
68 Write the equation of a line that passes
through the points  6, 3  and  3, 2  .
72 What is the slope of the line shown in the
graph below?
A y  x  4
B y
1
x 4
3
C y
1
x 1
3
D y  3x  1
69 A line has a slope of 4 and a y-intercept
of 8. Find its equation in slope-intercept
form.
A y  4x  8
B y  4x  8
A m 1
B m  1
C m
D m
C y  8x  4
D y  4x  8
70 Erica currently has a test average of 84 after
taking 4 exams. If she received grades of 89,
79, and 94. what was the grade on her fourth
exam?
1
2
1
2
73 The profit for a small company depends on
the number of dolls it sells. One way
to determine the profit each month is to use
a recursive routine on a graphing calculator
such as
0, 350
 Ans 1  1, Ans 2  40
When will the company begin to make a profit?
A 70
B 74
C 84
74 Write an equation for the relation below.
D 90
x
y
71
Simplify:
1
3
3x  2 y  3x  4 y  2
A
y  2x  1
B
y
C
1
y   x 1
2
D
y  2x  1
1
x 1
2
0
1
1
1
2
3
75 A line has a slope of
1
and a y-intercept
3
of 2. Write its equation in slope-intercept
form.
76 Solve for x:
81 The graph of the linear equation y 
1
x is
2
shown below.
4  2x  1  10  x  5
A 3
B 3
C 4
D 27
Which graph below best represents y 
77 Write the equation of a line, in slopeintercept form, that passes through the
points  2, 5  and  4, 3  .
78 Ten more than a number is 122 . Find the
number.
79 A number decreased by 14 is 75. Find the
number.
A
B
C
A 36
B 50
C 61
D 89
80 Solve for x:
A 3
B 0
C 2
D 6
6x  1  15  x
D
1
x 2?
2
82 Identify which equation is in standard form.
86 Write an equation for the relation below.
x
y
A 4x  5 y  10
1
0
2
3
3
6
4
9
B y  3x  8
C 3x  6  2 y
D y 7 
1
 x  9
3
87 Amy made a 75, 90, and 92 on her first 3
exams. What does Amy have to score on the
fourth exam to have an average of 85?
83 Which of the following is the point-slope
form of the equation that has a slope of 3
and contains the point  2, 3  ?
A y  3  3  x  2
B y  3  3  x  2
C y  3  3  x  2
D y  3  3  x  2
84 Solve for x:
14  5 3x  7   26
88 At Wallabe Pizza, you can’t be any older
than 8 to get in the Bounce-O-Matic Ball Pit.
Which inequality best represents any person
that can’t get in the Pit?
A a8
B a8
C a8
D a8
89 A magazine company charges a set up fee
of $250 plus $30 per month for a business to
advertise in their magazine. Find the total
cost, f  x  , of advertising in their magazine for
x months.
85 What is the slope of the line shown in the
graph below?
90 Solve for x:
A 3
B 0
C 2
m = ___________
D 6
6x  3  19  2x
91 The graph of the linear equation y 
1
x is
3
shown below.
95 Does the following mapping represent a
function? Why or why not?
-1
4
0
8
1
10
1
12
96 Salary earned is a function of the number of
hours worked. Which variable is the
dependent variable?
Graph the line y 
1
x 4?
3
97 If
 x, 4
is a solution to the equation
2x  3 y  20 , what is the value of x?
A
4
B 0
C 2
D 4
92 Which relation IS a function?
98 Paige collected data on the number hours a
student studies compared to their test
grade. If she plots the data on a scatterplot,
what relationship will she most likely see
between hours studied and test grade?
A
0, 1 , 2, 3 , 3, 4  , 0, 5
A positive correlation
B
1, 6 , 1, 7 , 2, 6 , 2, 7
B negative correlation
C
4, 1 , 4, 0 , 4, 2 , 4, 3
C no correlation
D
 1, 2 , 0, 4  , 1, 6 , 2, 8
93 If there are 60 marbles in a jar and 30% are
red, how many red marbles are in the jar?
94 Solve for x:
2
3

x x 2
D constant correlation
99 Is the following relation a function? Why or
why not?
100 If
 3, y 
is a solution to the equation
2x  4 y  10 , find the value of y.
101 A line contains the points  0, 5  and
 4, 7  .
Find the equation of the line.
105 Which of the following is the slope-intercept
form of the equation that has a slope of 4 and
contains the point  3, 7  ?
A
y  4x  19
B
y  4x  10
C
y  x 10
D
y  4x  19
106 Find the domain of the equation
y  3x  5 if the range is 2, 5, 8 .
A 2x  y  5
B 2x  y  5
C x  2 y  10
D x  2 y  20
107 Find the range of the line segment
graphed below.
102 Write the equation of a line parallel to the
line represented by the equation
2
y   x  8 and has a y-intercept of 2.
3
103 Which of the following equations describes
a line parallel to the graph of:
y
3
x 8
4
A 3x  4 y  2
B
4x  3 y  2
C
4x  3 y  2
D 3x  4 y  2
104 Which equation has a slope of 3 and a
y–intercept of 7.
A
y  3x  7
B
y  7x  3
C
y  7x  3
D
y  3x  7
A
all real numbers from  3 to 3
B
all real numbers from  3 to 4
C
all real numbers from 1 to 4
D
all real numbers from  1 to 3
108 Write the equation of a line in point-slope
form that goes through the point  4,2
and has a slope of 
3
.
4
109 Solve for y in terms of x:
2x  y  6
113 The ordered pair  6, 2  is a solution to
which of the following equations:
A
y  4x
B
y  2x  6
C
6
y
2x
D
y
B
y  2x  10
C
y
D
y  x 8
y  2x  6
110 Find the value of x when y  2 in the
equation y  6x  4 .
1
x 4
2
A
1
x 8
3
114 Solve the following equation for t:
6 p  4t  8
111 Write the equation of the line graphed
below:
115 Which relation is NOT a function?
A
6
1
10
14
B
3
2
1
1
A age of bear
B original value
C resale value
D year of purchase
Resale value
112 The graph shows the resale value of a
collectible stuffed bear that has been kept
in perfect condition. What is the
independent variable?
Age of Bear
C
-1
2
0
1
1
0
2
-1
116 The photography club at your school decides
to publish a calendar to raise money. The
profit from each calendar is $5.50. Which
inequality can be used to find the number n
of calendars that the photography club must
sell in order to raise $1200?
119 Write the equation of the line, in slopeintercept form, that goes through the
points  1, 2 and  2, 10  .
A n  5.50  1200
B 5.50n  1200
C 1200  5.50  n
D 5.50n  1200
117 Write the equation of any line parallel to
the one graphed below.
120 Which equation describes a line parallel to
1
the graph of y  x  2 ?
2
A 4x  2 y  9
B 2x  4 y  9
C 4x  2 y  9
D 2x  4 y  9
121 Suppose you graph y = − 14x + 3. What
would the function be if the y-intercept was
decreased by 7 and the slope was left
unchanged?
118 Find the value of “x” in the following
equation:
3 x 5

4
36
122 The cost of renting a car can be modeled by
the equation C  49  .10m , where, C is
the cost for m miles driven. If the total
cost is $171.00, how many miles were
driven?
A 10
A 1070 miles
B 13
B 1100 miles
C 22
C 1220 miles
D 27
D 1340 miles
123 Gary sells used cars and his makes a
weekly salary of $400 plus $100 for every car
that he sells. Write a linear equation to
represent Gary’s weekly salary.
127 The weight, W, of a beam varies directly as
its length, l. A 10 foot beam weights 530
pounds. How much would a 16 foot beam
weigh?
A 0.3 pounds
B 800 pounds
C 848 pounds
D 901 pounds
124 Suppose you graph y  2x  8 . Which function
can you graph to change the slope to 4 , but
leave the y-intercept unchanged?
128 Identify which equation is in point-slope
form.
A y  4x  8
A x  y  13
B y  4x  10
B y  3  2  x  5
C y  2x  4
D y  4x  15
C 2y 
1
x 6
4
D y  4x  5
1
125 Suppose you graph y   x  6 . Write the
2
equation you would graph to increase the
y-intercept by 4 but leave the slope
unchanged?
129 Find the range of the equation y = −3x + 2
if the domain is {−4, 0, 5}.
126 Which of the following ordered pairs is a
solution to the equation:
8x + −3y = 22
A (10,4)
B (−12,8)
C (5,6)
D (10,−4)
130 Mike is calculating how far his house is
away from the South Padre Island. The
scale on the map shows that ¾ inch equals
60 miles. Using this scale, what is the
actual distance between his house and
South Padre Island if the distance on the
map measures 4.5 inches?
A 175 miles
B 250 miles
C 300 miles
D 360 miles
131 Solve the inequality:
d
4
5
135 Solve the inequality: 75  3 y  8 y
A
d9
A y  25
B
d  1
B y  15
C
d
C y  25
4
5
D y  15
D d  20
136 Solve the inequality: 3x  4  5x  18
132The time, t, spent waiting in line for the
Super Looper roller coaster varies directly
with the number of people, n, in the line.
If 70 people are in line it will take them 105
minutes until they ride. Which is a direct
variation equation that relates t and n?
A x  7
B x
9
4
C x  7
D x 7
A t  35n
B t
3
n
2
2
C t n
3
D t  105n
133 Write the equation of a line that will be
parallel to the graph of: −3x + 8y = −24
134 Which of the following is true about a
function?
A.
B.
C.
D.
There may be one input to two outputs.
The dependent value cannot repeat.
The x-value cannot repeat.
The independent and dependent value
can both repeat
137 Rhonda works at a grocery store after
school. She is paid $5.50 per hour. Her
weekly salary, s, is described by the
function s = 5.5h, where h is the number of
hours she works in a week. What is the
dependent quantity in the functional
relationship?
A
The number of hours she works in a week
B
The number of dollars she is paid her hour
C
The salary for a week
D
The number of days she works in a week
138 The number of pretzels, p, that can be
packaged in a box with a volume of V cubic
units is given by the equation p = 45V + 10.
In this relationship, which is the independent
variable?
A
10
B
45
C
p
D
V