1 Select the correct use of the distributive

property.

A 5 1 5 1x x

B 3 2 3 6a a

C 4 2 1 8 4y y

D 3 8 3 16p p

2 What is the first step in solving the linear

equation for x?

84

x

3 Draw an example of each type of slope.

Negative slope:

Positive slope:

Zero slope:

No slope or undefined slope:

4 Simplify the expression: 6 15 7

A 28

B 16

C 28

D 2

5 Which equation is graphed below?

A 2 6y x

B 1

62

y x

C 2 11y x

D 1

62

y x

6 The numbers 3 and 3 are called

_____________________.

7 The opposite of -12 is:

Name ________________________________________ Period 1 2 3 4 5 6 7

Algebra 1 – Fall Semester Review Show your work on each problem!!!

8 Simplify: 6 5 2 3x y z y z x

A 3 4x y z

B 9 6 3x y z

C 3 6 3x y z

D 3 6x y z

9 What is the slope of the line shown in the

graph below?

A 2

3

B 3

2

C 2

3

D 6

10 Find the x-intercept of the line 2 6 24x y .

11 Solve for x: 5 7x

A 12

B 2

C 2

D 35

12 Round and Round Tire Company produces a

minimum of 600 tires per day in their Illinois

Factory. Which inequality best represents

this situation?

A 600t

B 600t

C 600t

D 600t

13 The slope of a line is 1

3 and contains the

point 6,5 . Write the linear equation in

slope-intercept form.

A 1

5 63

y x

B 1

63

y x

C 1

33

y x

D 1

13

y x

14 Solve: 4 9 25x

15 Solve: 36 10 2x

A 13

B 13

C 26

D 24

18 Which property of real numbers is

demonstrated by:

6 2 3 12 18x x

A Associative Property of Real Numbers

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 37x

20 Find the value of x if the perimeter of Kris’

flower bed below is 40 feet.

2x

4 6x 4 6x

8

21 Draw the graph to represent the parent

linear function.

Write the equation of linear parent function:

____________

22 Simplify: 8 4 5m n m n m

23 The graph of the line is shown below.

What is the slope of the graphed line?

24 Find the slope of the line that passes

through the points 4,2 and 1,7 .

25 What value is the x-intercept of the line

4 3 24x y

A 6

B 8

C 6

D 3

4

26 Simplify the expression: 34 21 6

27 What is the type of slope of the line below?

A positive slope

B negative slope

C undefined slope

D zero slope

28 The slope of a line is 2

3and contains the

point 0, 3 . Write the equation of the line

in slope-intercept form.

29 Solve for x: 10 2 6 3x x

30 What is the first step in solving for x:

37

x

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

31 Sharla asked Sheryl to solve the equation

2 5 4 3x x . 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.

32 What is the slope of the line on the graph?

A positive

B negative

C undefined

D zero

33 Solve for x: 1

52

x

x 2 5x 4 3x

2 -11

1

0 5

1

2 9

3

4 13

34 Which equation describes the graph below?

A 3 4y x

B 4 3y x

C 3 4y x

D 1

43

y x

35 Which ordered pair is the y-intercept of the

line 1

34

y x ?

A 3,0

B 0, 3

C 1

0,4

D 1

,04

36 Solve for x: 16 4 8x

37 Simplify: 5 2 4y y

38 Solve the inequality: 2 32r

A 64r

B 16r

C 64r

D 16r

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 4 860x

B 4

860x

C 4 860x

D 4 860x

40 Solve the equation for x: 3 5 10x

A 5

3

B 5

C 5

3

D 5

41 What is the answer when 0 is in the

denominator of a fraction? 3

.0

Ex

42 Simplify: 3 4 7a a

A 7 7a

B 7a

C 7 7a

D 7a

43 Given: 23 1f x x , evaluate f 2 .

44 What is the y-intercept of the line

5 7y x ?

45 What is the perimeter of the figure below?

3x 5 4x

4 6x

A 4 2x

B 12 2x

C 4 2x

D 4 2x

46 Write an equation for the graph below.

47 0

4

A 0

B 4

C undefined

D 1

4

48 What is the slope of the line on the graph?

49 Solve the inequality: 5.5 3.2x

50 Solve for x: 2

123

x

A 12

B 36

C 18

D 18

51 What is the perimeter of the figure below?

4 9x

x 6 3x

52 Solve for x: 13 4 5x

A 2

B 9

2

C 9

2

D 2

53 Lisa asked Katrina to solve the equation

6 3 2 5x x . Katrina made a table to help

her solve the equation. Complete the table.

What is the value of x that makes the

equation true?

A 2

B 0

C 2

D 3

54 Solve the equation for x: 14 3 7x

55 The point 2, 7 is located in which

quadrant?

A I

B II

C III

D IV

56 Given: 4 6f x x , evaluate f 3 .

A 6

B 13

C 18

D 18

57 Identify which equation is in slope-intercept

form.

A 2 3 9x y

B 2 3 4y x

C 2 1

123 4

x y

D 1

52

y x

58 Find the value of x if the perimeter of the

playland at McDonalds is 84 meters.

8

2 3x 12x

3 5x

A 3

B 4

C 5

D 6

59 Solve the inequality: 28 ≤ −14 + −6x

x 6 3x 2 5x

3 21

2

1 3

0

1 3

2

3 15

60 Name the quadrant in which the following

points are located.

9, 8 5, 6 2, 8 3, 7

61 Which graph represents the solution to the

inequality? 3 12x

A

-5 -4 -3 -2 -1 0 1 2 3 4 5

B

-5 -4 -3 -2 -1 0 1 2 3 4 5

C

-5 -4 -3 -2 -1 0 1 2 3 4 5

D

-5 -4 -3 -2 -1 0 1 2 3 4 5

62 Write a compound inequality for the

solution set shown below.

-10 8

63 Solve the inequality: 16 9x

A 7x

B 25x

C 25x

D 7x

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?

A 95

B 76

C 92

D 82

65 Simplify: 2 29 4 6 7x x x x

A 25 8 3x x

B 25 10 3x x

C 26 9 3x x

D 25 10 11x x

66 Write the equation of a line in point–slope

form that has a slope of 4

3 and passes

through the point 3,7 .

67 Solve for x: 6 3 2 13x x

68 Write the equation of a line that passes

through the points 6, 3 and 3, 2 .

A 4y x

B 1

43

y x

C 1

13

y x

D 3 1y x

69 A line has a slope of 4 and a y-intercept

of 8. Find its equation in slope-intercept

form.

A 4 8y x

B 4 8y x

C 8 4y x

D 4 8y x

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?

A 70

B 74

C 84

D 90

71 Simplify: 3 2 3 4 2x y x y

72 What is the slope of the line shown in the

graph below?

A 1m

B 1m

C 1

2m

D 1

2m

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

1 1, 2 40Ans Ans

When will the company begin to make a profit?

74 Write an equation for the relation below.

x 1 0 1 2

y 3 1 1 3

A 2 1y x

B 1

12

y x

C 1

12

y x

D 2 1y x

75 A line has a slope of 1

3 and a y-intercept

of 2. Write its equation in slope-intercept

form.

76 Solve for x: 4 2 1 10 5x x

A 3

B 3

C 4

D 27

77 Write the equation of a line, in slope-

intercept 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 36

B 50

C 61

D 89

80 Solve for x: 6 1 15x x

A 3

B 0

C 2

D 6

81 The graph of the linear equation 1

2y x is

shown below.

Which graph below best represents 1

22

y x ?

A

B

C

D

82 Identify which equation is in standard form.

A 4 5 10x y

B 3 8y x

C 3 6 2x y

D 1

7 93

y x

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 3 3 2y x

B 3 3 2y x

C 3 3 2y x

D 3 3 2y x

84 Solve for x: 14 5 3 7 26x

85 What is the slope of the line shown in the

graph below?

m = ___________

86 Write an equation for the relation below.

x 1 2 3 4

y 0 3 6 9

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?

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 8a

B 8a

C 8a

D 8a

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.

90 Solve for x: 6 3 19 2 x x

A 3

B 0

C 2

D 6

91 The graph of the linear equation 1

3y x is

shown below.

Graph the line 1

43

y x ?

92 Which relation IS a function?

A 0, 1 , 2, 3 , 3, 4 , 0, 5

B 1, 6 , 1, 7 , 2, 6 , 2, 7

C 4, 1 , 4, 0 , 4, 2 , 4, 3

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

2x x

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?

97 If , 4x is a solution to the equation

2 3 20x y , what is the value of x?

A 4

B 0

C 2

D 4

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 positive correlation

B negative correlation

C no correlation

D constant correlation

99 Is the following relation a function? Why or

why not?

100 If 3, y is a solution to the equation

2 4 10x y , find the value of y.

101 A line contains the points 0, 5 and

4, 7 . Find the equation of the line.

A 2 5x y

B 2 5x y

C 2 10x y

D 2 20x y

102 Write the equation of a line parallel to the

line represented by the equation

2

83

y x and has a y-intercept of 2.

103 Which of the following equations describes

a line parallel to the graph of:

3

84

y x

A 3 4 2x y

B 4 3 2x y

C 4 3 2x y

D 3 4 2x y

104 Which equation has a slope of 3 and a

y–intercept of 7.

A 3 7y x

B 7 3y x

C 7 3y x

D 3 7y x

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 4 19y x

B 4 10y x

C 10y x

D 4 19y x

106 Find the domain of the equation

3 5y x if the range is 2, 5, 8 .

107 Find the range of the line segment

graphed below.

A real numbers from 3 to 3all

B real numbers from 3 to 4all

C real numbers from 1 to 4all

D real numbers from 1 to 3all

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 .

Resa

le v

alu

e

109 Solve for y in terms of x: 2 6x y

A 4y x

B 2 6y x

C 6

2y

x

D 2 6y x

110 Find the value of x when 2y in the

equation 6 4y x .

111 Write the equation of the line graphed

below:

112 The graph shows the resale value of a

collectible stuffed bear that has been kept

in perfect condition. What is the

independent variable?

A age of bear

B original value

C resale value

D year of purchase Age of Bear

113 The ordered pair 6, 2 is a solution to

which of the following equations:

A 1

42

y x

B 2 10y x

C 1

83

y x

D 8y x

114 Solve the following equation for t:

6 4 8p t

115 Which relation is NOT a function?

A

6

1 10

14

B

3

2 1

1

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?

A 5.50 1200n

B 5.50 1200n

C 1200 5.50 n

D 5.50 1200n

117 Write the equation of any line parallel to

the one graphed below.

118 Find the value of “x” in the following

equation:

3 5

4 36

x

A 10

B 13

C 22

D 27

119 Write the equation of the line, in slope-

intercept form, that goes through the

points 1, 2 and 2, 10 .

120 Which equation describes a line parallel to

the graph of 1

22

y x ?

A 4 2 9 x y

B 2 4 9x y

C 4 2 9x y

D 2 4 9x y

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?

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 1070 miles

B 1100 miles

C 1220 miles

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.

124 Suppose you graph 2 8 y x . Which function

can you graph to change the slope to 4 , but

leave the y-intercept unchanged?

A 4 8 y x

B 4 10 y x

C 2 4 y x

D 4 15 y x

125 Suppose you graph 1

62

y x . Write the

equation you would graph to increase the

y-intercept by 4 but leave the slope

unchanged?

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)

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

128 Identify which equation is in point-slope

form.

A 13x y

B 3 2 5y x

C 1

2 64

y x

D 4 5y x

129 Find the range of the equation y = −3x + 2

if the domain is {−4, 0, 5}.

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: 45

d

A 9d

B 1d

C 4

5d

D 20d

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 35t n

B 3

2t n

C 2

3t n

D 105t n

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. There may be one input to two outputs.

B. The dependent value cannot repeat.

C. The x-value cannot repeat.

D. The independent and dependent value

can both repeat

135 Solve the inequality: 75 3 8y y

A 25y

B 15y

C 25y

D 15y

136 Solve the inequality: 3 4 5 18x x

A 7x

B 9

4x

C 7x

D 7x

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