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1.

Write a numerical expression then simplify: Five added to the product of four and nine.

a)

5 + 49 ; 54

b)

5 + 4 * 9 ; 81

c)

5 + 4 ÷ 9 ; 5.44

d)

5 + 4 * 9 ; 41

2.

What is the first step in simplifying the expression 4(8 – 5) + 3 + 4 × 2?

a)

4(3) + 3 + 4 × 2

b)

4(8 – 5) + 7 × 2

c)

32 – 5 + 3 + 4 × 2

d)

4(8 – 5) + 7 × 5

3.

Write a numerical expression then simplify: Twenty-one minus the sum of fifteen and five.

a)

21 - 15 + 5 ; 41

b)

21 - (15 + 5) ; 1

c)

21 - 15 + 5 ; 11

d)

(21 - 15) + 5 ; 1

4.

Simplify the expression 15 + 6 ÷ 3 + 2 × 5.

a)

17

b)

27

c)

35

d)

45

5.

Simplify 144 ÷ 16 • 9 ÷ 3.

a)

27

b)

3

c)

1/3

d)

44

6.

Simplify the expression 20 – 16 ÷ 2 + 2

a)

1

b)

10

c)

14

d)

16

7.

Simplify: 3 [9 * 2 ÷ (10 - 4)]

a)

81

b)

3

c)

6

d)

9

8.

Simplify: 10 ÷ (4 + 1)

a)

3

b)

50

c)

2

d)

20

9.

Simplify: 6 ÷ 2 + 1 * 5

a)

10

b)

8

c)

20

d)

9

10.

Simplify: 7(3) - 2 * 4

a)

13

b)

76

c)

28

d)

35

11.

A natural foods store sells wild rice for $2.00 per quarter pound (1/4.) Elizabeth buys p pounds. Which expression should she use to find the total cost of her purchase?

a)

p

b)

2p

c)

4p

d)

8p

12.

Choose the expression that represent the word phrase: a divided by 7

a)

7 ÷ a

b)

7a

c)

7 + a

d)

a ÷ 7

13.

Choose the expression that represent the word phrase: Five decreased by three.

a)

3 - 5

b)

5 - d

c)

5 - 3

d)

d - 3

14.

Choose the expression that represent the word phrase: The total of h and 56

a)

h + 56

b)

56h

c)

56

d)

h

15.

Choose the expression that represent the word phrase: Three less than d.

a)

3d

b)

d - 3

c)

3 - d

d)

d / 3

16.

Name the variable in the algebraic expression 45 – 16s × 3.

a)

45

b)

16

c)

s

d)

b

17.

What word phrase describes the variable expression (y - 3 ) ÷ 2?

a)

half the difference of y and three

b)

the variable y divided by three over two

c)

the sum of y and three, divided by two

d)

the variable y divided by two, minus three

18.

What expression is an example of a numerical expression?

a)

109 + 54

b)

47d – 13

c)

k / 3

d)

3 + x – 14

19.

The variable p represents Jack's age. Which word phrase represents the variable expression 6p + 1?

a)

one more than six times Jack's age

b)

one more than Jack's age plus six

c)

six times Jack's age

d)

Jack's age plus one multiplied by six

20.

Identify the algebraic expression

a)

4 + 23

b)

62 – 37

c)

45p ÷ 5

d)

39 ÷ 13

21.

Evaluate the expression.

a)

15

b)

11

c)

-15

d)

-11

22.

Evaluate the expression.

a)

3

b)

4

c)

-3

d)

-6

23.

Evaluate the expression.

a)

3

b)

5

c)

-3

d)

-5

24.

Evaluate the expression.

a)

3

b)

6

c)

-18

d)

-21

25.

Evaluate the expression.

a)

3

b)

5.57

c)

-6

d)

-3

26.

Evaluate the expression.

a)

1

b)

7

c)

-1

d)

-7

27.

Evaluate the expression.

a)

8

b)

-8

c)

14

d)

-14

28.

Evaluate the expression.

a)

1

b)

3.74

c)

7

d)

49

29.

Evaluate the expression.

a)

-30

b)

-18

c)

30

d)

-66

30.

Evaluate the expression.

a)

16

b)

20

c)

32

d)

50

31.

Evaluate the expression

a)

9

b)

18

c)

21

d)

39

32.

What property allows this statement to be true?
AB = BA

a)

Associative

b)

Distributive

c)

Commutative

33.

What property allows this statement to be true?
(A + B) + C = A + ( B + C)

a)

Associative

b)

Commutative

c)

Distributive

34.

Find an equivalent expression using the associative property:
7 + ( 8 + 9)

a)

7 + 8 + 9

b)

8 + ( 7 + 9)

c)

(7 + 8 ) + 9

d)

7 + 10

35.

Find an equivalent expression using the Commutative property:
4 x 3 x 5 =

a)

4 + 3 x 5

b)

5 x 4 x 3

c)

5 + 4 + 3

d)

3x + 5

36.

Name the property:
(1 + 3) + 4 = 1 + ( 3 + 4)

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Associative Property of Addition

37.

Name the property:
9 ^_x 2 = 2 ^_x 9

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Distributive Property

38.

Name the property:
2 + 3 = 3 + 2

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Commutative Property of Addition

d)

Associative Property of Addition

39.

Name the property:
1 ^_x 12 =12

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplication Property of One

d)

Distributive Property

40.

Name the property:
9 + 0 = 9

a)

Identity Property of Multiplication

b)

Associative Property of Addition

c)

Identity Property of Addition

d)

Additive Inverse Property

41.

Name the property:
(6 ^_x 2) ^_x 3=6 ^_x (2 ^_x 3)

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Multiplicative Identity Property

42.

Which property is represented?
44 + 99 = 99 + 44

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

43.

What property is demonstrated here: 9x0=0

a)

Inverse Property

b)

Identity Property

c)

Zero Property

d)

Commutative

44.

This property tells us that when we change the order of numbers when we are adding, the answer does not change.

a)

Commutative Addition

b)

Commutative Multiplication

c)

Associative Addition

d)

Associative Multiplication

45.

The _______________ property of addition states that any number plus zero equals that number.

a)

identity

b)

commutative

c)

associative

d)

zero

46.

a)

6x+6

b)

5x+18

c)

6x+12

d)

6x+18

47.

a)

x-3

b)

-x+3

c)

-x-3

d)

x+3

48.

a)

10x+45

b)

10x+40

c)

12x+13

d)

10x+50

49.

a)

35x+7

b)

35x-1

c)

35x-7

d)

-35x-7

50.

a)

10x-10

b)

-10x-10

c)

20x-5

d)

-20x-10

51.

a)

-16x+32

b)

16x-32

c)

-16x-32

d)

16x-32

52.

a)

-2x+3

b)

2x+3

c)

-2x-3

d)

2x-3

53.

a)

-24x+36

b)

24x+36

c)

-24x+32

d)

24x-32

54.

a)

50x+25

b)

-50x-25

c)

-50x+25

d)

50x-5

55.

a)

5x-8

b)

-5x-8

c)

-5x+8

d)

5x+8

56.

a)

14x-42

b)

-14x+42

c)

-14x+49

d)

-14x+49

57.

a)

-6x+12

b)

-6x-12

c)

6x-12

d)

6x+12

58.

a)

24x-1

b)

24x-1

c)

-24x-8

d)

24x-8

59.

a)

-30x+15

b)

30x-15

c)

30x+15

d)

-30x+15

60.

a)

-45x+72

b)

45x+72

c)

-45x-72

d)

45x-72

61.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

62.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

63.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

64.

c/2 = -14

a)

c = -7

b)

c = -7

c)

c = -28

d)

c = 28

65.

Which equation has x=9 as a solution

a)

4 + x = 12

b)

5x = 45

c)

2x = 20

d)

x + 7 = 26

66.

Three times as many as six is eighteen

a)

3 + 6 = 18

b)

3 x 6 = 18

c)

6 x 3 = 9

d)

18 = 6 x 3

67.

Carlos has 8 Xbox games. Carlos has twice as many (or two times as many) Xbox games as Jayda.

Which equation represents how many Xbox games Jayda has?

a)

C = 8

b)

J = 8 x 2

c)

8 = 2 x J

d)

8 = 2 + J

e)

J - 2 + 8

68.

Which word problem has a solution of 9 x 3 = 27?

a)

Jan is 9 times older than her cousin Josh who is 3 years old. How old is Jan?

b)

Katrina buys 9 cupcakes for twenty seven cents each. How much total money did Katrina spend?

c)

Don saves for 9 weeks to buy 3 games. How many weeks did Don save for each game?

d)

Sam spends $9 on a book and $3 on a notebook. How much total money does Sam spend?

69.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

70.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

71.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

72.

What is the solution of 42 = 7f

a)

294

b)

49

c)

35

d)

6

73.

Kelly earned $20 for babysitting. She has also earned money by doing chores. Altogether, she has earned $100. How much did she earn doing chores?

a)

$5

b)

$20

c)

$80

d)

$120

74.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

75.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

76.

Solve for x:
x + 8 = -3

a)

x = -5

b)

x = 5

c)

x = -11

d)

x = 11

77.

Solve for k:
6k = 30

a)

k = 36

b)

k = 24

c)

k = 180

d)

k = 5

78.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

79.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

80.

A solution is...

a)

A variable that results in a true sentence

b)

A mathematical sentence showing two expressions are equal.

c)

Numbers expressed using exponents

d)

The value for the variable in an equation.

81.

An equation is...

a)

a problem that contains at least one variable and at least one operation; no equal sign

b)

a mathematical sentence showing two expressions are equal.

c)

The solution for a variable

d)

The value that results in a true sentence

82.

a)

y = -10x

b)

y = -13x

c)

y = -22x

d)

y = 13x

83.

a)

-1

b)

1

c)

2

d)

-2

84.

a)

y = 8x - 3

b)

y = 9x -3

c)

y = x - 3

d)

y = 2x - 3

85.

Write an equation for this relation.

a)

y = -5x

b)

y = -5x + 1

c)

y = 5x

d)

y = 5x - 1

86.

Write an equation for this relation.

a)

y = x - 41

b)

y = 11x + 1

c)

y = x + 41

d)

y = 12x - 3

87.

Write the equation for this relation.

a)

y = -2x

b)

y = x - 4

c)

y = 2x - 5

d)

y = 2x + 4

88.

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 }

89.

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 }

90.

Evaluate the expression if a = -6, b = 2, and c = -10.
2a² - c + 4b

a)

-54

b)

80

c)

70

d)

86

91.

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}

92.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

93.

a)

Function

b)

Not a Function

94.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

95.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

96.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

97.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

98.

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}

99.

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}

100.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

-4, 4, 8, 9

b)

-2, 3, 8, 10

c)

(9, -2) ( 4, 3)

d)

(8, 10) (-4, 8)

101.

A set of ordered pairs is called what?

a)

Coordinates

b)

Relation

c)

Function

d)

Vertical Line Test

102.

Given the points (3, 5) (2, 4) (9, 0) and (?, 6). What could replace the ? to create a non-function?

a)

1

b)

3

c)

4

d)

7

103.

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

a)

(3, 7)

b)

(4, 1)

c)

(1, 9)

d)

(2, 6)

104.

Is this table a function or not a function?

a)

Function

b)

Not a Function

105.

Give the domain and range. Tell if it is a function.

a)

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function

b)

D: {-4, -2, 0, 2}
R: {-2, 1}
Function

c)

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function

d)

D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function

106.

If f(x)=3x-9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

107.

If f(x)=2x+25, find f(5).

a)

f(5) = 60

b)

f(5) = 40

c)

f(5) = -15

d)

f(5) = 35

108.

Find the y-intercept(s) of the graph shown.

a)

(-3.3, 0)

b)

(5.6, 0)

c)

(-5, 0)

d)

(0, 4)

109.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

110.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

111.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

112.

What is the range of the graph?

a)

-2 < y < 10

b)

-3 < x < 3

c)

-2 ≤ y ≤ 10

d)

-3≤ x ≤ 3

113.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

114.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

115.

What is the range of the function given below?

a)

0 ≤ y ≤ 7

b)

-2 ≤ y ≤ 4

c)

.2 ≤ y ≤ 4

d)

All real numbers

116.

What is the minimum of the blue function?

a)

y = -2

b)

y = 1

c)

y = -4

d)

y = 0

117.

What is the minimum of the red function?

a)

y = -1.75

b)

y = 1

c)

y = 1.5

d)

y = 0

118.

Which coordinate would qualify as the *absolute maximum* of this function?

a)

∞

b)

(0, 4)

c)

3

d)

(4, 0)

119.

Which coordinate point describes the location of the absolute minimum point of this function?

a)

(-2, -1)

b)

(0, -1)

c)

(-1, -2)

d)

(-5, 3)

120.

What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if he gives the cashier $40.

a)

40 + c = 30.98

b)

30.98 + c = 40

c)

c - 40 = 30.98

d)

c - 30.98 = 40

121.

What do the following terms mean:
is
equal
the same as

a)

+

b)

-

c)

=

d)

x

122.

2. Cheryl gets paid $8 per hour for her job at the record store. She made a total of $96 last week. Which equation models this situation?

a)

96h = 8

b)

h/96 = 8

c)

8h = 96

d)

h/8 = 96

123.

Write an equation models the following statement:
17 less than h equals 42

a)

17-h=42

b)

h-17=42

c)

h+17=42

d)

17+h=42

124.

1. Ted bought a dolphin poster for $12. He now has $5. Which choice models this situation?

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

125.

4. There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. Which choice models this situation?

a)

x/3 = 27

b)

27x = 3

c)

x/27 = 3

d)

3x = 27

126.

4. There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. Which choice models this situation?

a)

x/3 = 27

b)

27x = 3

c)

x/27 = 3

d)

3x = 27

127.

5. After dropping 5ºF, the temperature was 37ºF. Which choice models this situation?

a)

d - 37 = 5

b)

d + 5 = 37

c)

d - 5 = 37

d)

d + 37 = 5

128.

Which choice models this situation?
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10/4 = v

d)

4v = 10

129.

Last Friday Stefan had $35. Over the weekend, his parents gave him some money for washing the car and now he has $47. Write an equation to determine how much his parents paid him for washing the car.

a)

$35-x=47$

b)

$\frac{x}{35}=47$

c)

$35+x=47$

d)

$35x=47$

130.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

131.

Which choice models this situation?

Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?

a)

t + 4 = 58

b)

t - 4 = 58

c)

4t = 58

d)

t/4 = 58

132.

Which choice models this situation?

Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

133.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

134.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

135.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

136.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

137.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

138.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

139.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

140.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

141.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

142.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

143.

Solve the equation:
x - 5.5 = 10.5

a)

x = 16

b)

x = -15

c)

x = 5

d)

x = -5

144.

how would you solve this equation: 9x=153?

a)

multiply

b)

divide

c)

add

d)

subtract

145.

x - (-1) = 11

a)

x = 10

b)

x = 12

c)

x = -10

d)

x = 11

146.

-y = 22

a)

y = 1

b)

y = -22

c)

y = 0

d)

y = -1

147.

What is the first step to solve this equation:
3x = 44

a)

Add 3 to both sides

b)

Subtract 3 from both sides

c)

Multiply 3 on both sides

d)

Divide 3 on both sides.

148.

-4 + r = 10

a)

r = 14

b)

r = 6

c)

r = -6

d)

r = 40

149.

10 = -7 + b

a)

b = -17

b)

b = 3

c)

b = 17

d)

b = -3

150.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

151.

n - 6 = -15

a)

n = -21

b)

n = -9

c)

n = 9

d)

n = 21

152.

Martha baked cupcakes for 3 different classes. If each class needs 24 cupcakes which equation could be used to find x, the total number of cupcakes Martha will bake?

a)

3x=24

b)

x/3=24

c)

24x =3

d)

x/24 =3

153.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

154.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

155.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

156.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

157.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

158.

6x + 5x = -11

a)

-2

b)

-1

c)

1

d)

2

159.

What is the inverse operation of multiplication?

a)

multiplication

b)

addition

c)

subtraction

d)

division

160.

Solve:
3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

no solution

d)

infinite solutions

161.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

162.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

163.

Solve: 4(x + 1) = 8

a)

-7/4

b)

7/4

c)

-1

d)

1

164.

Mrs. Burrell is buying donuts for a morning study session. She can spent $35. If it costs $3 per donut and $2 for a chocolate milk for herself, how many donuts did she buy for her students?

a)

12 donuts

b)

14 donuts

c)

10 donuts

d)

11 donuts

165.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

166.

Solve -20 = -4x - 6x

a)

x = -2

b)

x = 10

c)

x = 2

d)

x = -10

Ali

Total questions: 166

Worksheet time: 9hrs 16mins

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