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7th Gen. Ed. Math 23-24 Interim Review-Unit 2A, 2B, 3A, & 3B

Total questions: 496

Worksheet time: 83hrs 40mins

Name
Class
Date
1.
2x + y = 1
a)
coeffiecient
b)
term
c)
variable
d)
constant
2.
y + 5x - 10
a)
coefficient 
b)
terms
c)
variables
d)
constant
3.
x + y
a)
expression
b)
equation
4.
x + y = 50
a)
expression
b)
equation
5.
5y + 10 - x
a)
term
b)
variable 
c)
constant
d)
operator
6.
3y + 5
a)
term 
b)
variable 
c)
coefficient
d)
constant
7.
2x + 3y + 5x = 75
a)
coefficeient
b)
constant
c)
terms
d)
variables
8.
The coefficient in the following expression is:
x + y
a)
0
b)
1
c)
x
d)
y
9.
How many terms in the following expression:
5x + 3y - 15 + x
a)
1
b)
2
c)
3
d)
4
10.
Is the following a expression 
5W
a)
yes
b)
no
11.
2x + y = 1
a)
coeffiecient
b)
term
c)
variable
d)
constant
12.
y + 5x - 10
a)
coefficient 
b)
terms
c)
variables
d)
constant
13.
x + y
a)
expression
b)
equation
14.
x + y = 50
a)
expression
b)
equation
15.
5y + 10 - x
a)
term
b)
variable 
c)
constant
d)
operator
16.
3y + 5
a)
term 
b)
variable 
c)
coefficient
d)
constant
17.
2x + 3y + 5x = 75
a)
coefficeient
b)
constant
c)
terms
d)
variables
18.
The coefficient in the following expression is:
x + y
a)
0
b)
1
c)
x
d)
y
19.
How many terms in the following expression:
5x + 3y - 15 + x
a)
1
b)
2
c)
3
d)
4
20.
Is the following a expression 
5W
a)
yes
b)
no
21.
Is the following a expression 
10
a)
yes 
b)
no
22.
a symbol for an unknown value
a)
term
b)
operator
c)
variable
d)
coefficient
23.
A number on its own
a)
term
b)
constant
c)
coefficient
d)
variable
24.
Equations must have an
a)
≠
b)
=
c)
≤
d)
≥
25.
A mathematical sentence stating that two expressions are equal.
a)
expression
b)
equation
26.

a symbol for an unknown value; usually a letter (such as a, x, or y) is the symbol used

a)

constant

b)

variable

c)

coefficient

d)

term

27.

a number on its own

a)

constant

b)

coefficient

c)

operator

d)

term

28.

a number that is multiplied by a variable

a)

expression

b)

constant

c)

coefficient

d)

variable

29.

a symbol (+, x, -, or ÷) representing a mathematical operation

a)

term

b)

operator

c)

expression

d)

constant

30.

a single number, a variable, or numbers and/or variables multiplied together

(EX: 4 , abc , 5w)

a)

expression

b)

variable

c)

constant

d)

term

31.

a term or a combination of terms and operators

(EX: 2 , 2x , 2x + 7)

a)

expression

b)

constant

c)

variable

d)

operator

32.

a mathematical sentence stating that two expressions are equal

a)

term

b)

coefficient

c)

equation

d)

variable

33.
a)

variable

b)

constant

c)

coefficient

d)

expression

34.
a)

variable

b)

coefficient

c)

constant

d)

term

35.
a)

constant

b)

expression

c)

variable

d)

coefficient

36.
a)

term

b)

constant

c)

variable

d)

operator

37.
a)

variable

b)

expression

c)

coefficient

d)

operator

38.

Choose ALL that apply from the answers below.

a)

12

b)

ab

c)

99

d)

4

39.

Choose ALL that apply from the answers below.

a)

12ab

b)

99a

c)

6z

d)

4

40.

Choose ALL that apply from the list below.

a)

12

b)

z

c)

a

d)

99

41.
x + y = 50
a)
expression
b)
equation
42.
x + y
a)
expression
b)
equation
43.
y + 5x - 10
a)
coefficient 
b)
terms
c)
variables
d)
constant
44.
2x + y = 1
a)
coeffiecient
b)
term
c)
variable
d)
constant
45.
2x + 3y + 5x = 75
a)
coefficeient
b)
constant
c)
terms
d)
variables
46.
How many terms in the following expression:
5x + 3y - 15 + x
a)
1
b)
2
c)
3
d)
4
47.
Is the following a expression 
5W
a)
yes
b)
no
48.
a symbol for an unknown value
a)
term
b)
operator
c)
variable
d)
coefficient
49.
A number on its own
a)
term
b)
constant
c)
coefficient
d)
variable
50.
Equations must have an
a)
≠
b)
=
c)
≤
d)
≥
51.
A mathematical sentence stating that two expressions are equal.
a)
expression
b)
equation
52.
Which is an equation?
a)
4x = 9
b)
4x - 9
c)
4x
d)
- 9
53.
What is the "7m" in this expression?
7m - 9
a)
Expression
b)
Variable
c)
Coefficient
d)
Term
54.
Which equation has 5 terms?
a)
6x + 8 = 2x
b)
6 + 4.7 - 9y = 3y + 1
c)
125x = 14
d)
2x + 3 = 7 + x
55.
A variable is used to represent a number. 
a)
True
b)
False
56.
Which is an example of a variable in the following equation?
9g + 3 = 60
a)
9
b)
g
c)
3
d)
60
57.
The numbers by themselves are called ___________
a)
constants
b)
coefficients
c)
exponents
d)
terms
58.
Which of the following is an equation?
a)
6x + 2x - 6
b)
6x2 + 10 = 25
c)
6x2 + 10 - 25
d)
10y - 6 + 34u
59.
A letter that stands for a number
a)
constant
b)
coefficient
c)
variable
d)
expression
60.
Which of the following is an equation?
a)
6x + 2x - 6
b)
6x2 + 10 = 25
c)
6x2 + 10 - 25
d)
10y - 6 + 34u
61.
Which of the following is a mathematical sentence that has an equal sign?
a)
Term
b)
Expression
c)
Coefficient
d)
Equation
62.
Define Term.
a)
Does not contain an equal sign
b)
Parts separated by + or -
c)
The unknown value
d)
the number the does not change
63.
Which of the following is a mathematical sentence that has an equal sign?
a)
Term
b)
Expression
c)
Coefficient
d)
Equation
64.
Define Term.
a)
Does not contain an equal sign
b)
Parts separated by + or -
c)
The unknown value
d)
the number the does not change
65.
In an equation or expression, the number that is being multiplied by the variable is better known as what?
a)
Coefficient 
b)
Term
c)
Variable
d)
Expression
66.
Define constant.
a)
The unknown value
b)
The number that does not change; stands by itself. 
c)
Parts of the expression
d)
Equation
67.
This contains an equal sign...
a)
Constant
b)
Variable
c)
Equation
d)
Expression
68.
Name the variable in the following number sentence:
2x -7 = 9
a)
x
b)
2
c)
7
d)
2x-7
69.
Name the coefficient in the following number sentence:
9x - 15 = 27
a)
9
b)
15
c)
x
d)
9x-15
70.
What is the difference between an expression and an equation?
a)
Expression has more numbers
b)
An equation has an equal sign
c)
there are 2 variables instead of 1
d)
there are more terms in an equation
71.
a)
equation
b)
expression
c)
algebraic equation
d)
inequality
72.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
73.
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.
74.
Choose the equation.
a)
-9
b)
3 + 7
c)
4y
d)
4y = 20
75.
The sum of 6 and x
a)
x + 6
b)
6/x
c)
x + 4
d)
6x
76.

5 + 3 = 8

a)

expression

b)

equation

77.

Which is an equation?

a)

4 x 9

b)

4 x 9 = 36

c)

4 + 9

78.

Which is an expression

a)

5 + 2 =7

b)

8 x 3 = 24

c)

9 - 6

79.

What is the difference between an expression and an equation

a)

Expressions have an equal sign and equations do not

b)

Equations have an equal sign and expressions do not

80.

What is the solution of 3w = 30

a)

-10

b)

90

c)

10

d)

12

81.
What is the constant in the following expression?
8y + 5 - 35p
a)
8
b)
35p
c)
5
d)
8y
82.

To solve 5x = 70

a)

add 5 to each side

b)

subtract 5 from each side

c)

multiply by 5 on each side

d)

divide by 5 on each side

83.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

84.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

85.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

86.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

87.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

88.

Simplify: m + m + m + m

a)

4m

b)

m4

c)

m

d)

Can't be simplified

89.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

90.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
91.
A coefficient is __________.
a)
the variable
b)
a constant
c)
an exponent
d)
the number that comes before the variable
92.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
93.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
94.

A number by itself with no variable attached is called a  _____.

a)
coefficient
b)
constant
c)
variable
d)
term
95.

What is the coefficient in the algebraic expression?

a)

4x

b)
4
c)
5
d)
9
96.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
97.

Simplify: 8x2 + 5x + 2y + x

a)

14x + 2y

b)

13x2+ 2y + x

c)

8x2 + 6x + 2y

d)

8x2 + 7xy + x

98.

Simplify: 7y2 −5y + 9y − 5y27y^2\ -5y\ +\ 9y\ -\ 5y^2  

a)

6y2 6y^{2\ }  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

99.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
100.

Simplify: 5 + 11y + 2

a)

5 + 11y

b)

18y

c)

11y + 7

d)

11y + 3

101.

Simplify the expression completely.

3z+9+5z−43z+9+5z-4  

a)

8z+58z+5  

b)

8z+138z+13  

c)

13z13z  

d)

21z21z  

102.

Simplify the expression completely.

t+2+6tt+2+6t  

a)

9t9t  

b)

12t12t  

c)

7t+27t+2  

d)

18t18t  

103.

9x + 8x

a)

72x

b)

1x

c)

17x

d)

-1x

104.

x + 1 + 3x

a)

3x + 1

b)

4x + 1

c)

3x + 4

d)

5x + 3

105.

Simplify the Expression:


7x2 - 3a +20 - 4x2 + 2a

a)

11x2 - a + 20

b)

3x2 - a + 20

c)

2a + 20

d)

3x2 - a

106.

Simplify: 3r + 17r

a)

20r

b)

51r

c)

20r2

d)

14r

107.

Simplify: 6m - 4m

a)

2m

b)

10m

c)

10m2

d)

2 +2m

108.

Simplify: 10n - 13n

a)

3n

b)

-3n

c)

-23n

d)

23n

109.

Simplify: 6n + n

a)

6n

b)

7n

c)

5n

d)

-5n

110.

Simplify: n + n

a)

2n

b)

n

c)

n2

d)

0

111.

Simplify: 3n - n

a)

2n

b)

3n

c)

4n

d)

-2n

112.

Simplify: n + n + n

a)

2n

b)

4n

c)

3n

d)

0n

113.

Simplify: 14z - 17z

a)

3z

b)

4z

c)

-3z

d)

-40z

114.

Simplify -2m + 6m

a)

4m

b)

-4m

c)

8m

d)

-8m

115.

Simplify 10a + 7a + 3a

a)

20a

b)

17a

c)

14a

d)

9a

116.

a + a + a + a

a)

a + 4

b)

4a

c)

a4

d)

4a + 4

117.
y + x + y + y + x 
a)
2 + 3 
b)
x + y 
c)
2x + 3y 
d)
5xy 
118.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
119.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
120.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
121.
2r + 2 + 5r - 2 + r 
a)
8r 
b)
8r - 4 
c)
12r 
d)
7r + 4 + r 
122.
-4x - 10x
a)
-14
b)
6x
c)
-6x
d)
-14x
123.

-r -10r

a)

11r

b)

-11r

c)

-9r

d)

-11

124.

-26k + 7k=

a)

-19k

b)

19k

c)

33k

d)

-33k

125.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
126.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
127.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
128.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
129.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
130.
2(4 + 9w) 
a)
8+9w
b)
2+9
c)
8+18w
d)
2+9w
131.
-4(-4d - 5)
a)
-16d+20
b)
16+20
c)
16d+20
d)
16s-20
132.
Simplify the following expression
7 - 8c + 3 - 6c 
a)
-10+14c
b)
-25
c)
10-14c
d)
25c
133.
Simplify the following expression:
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
134.
a + a + a + a
a)
a + 4 
b)
4a 
c)
a to the fourth power 
d)
4a + 4 
135.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
136.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
137.

Simplify:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

138.

Simplify:

3x - 5x

a)

2x

b)

8x

c)

-2x

d)

15x2

139.

Simplify:

3x + 2x

a)

5x

b)

x

c)

6x

d)

5

140.

Simplify:

-6k + 7k

a)

k

b)

-k

c)

12k

d)

-12k

141.
-r - 10r
a)
11r
b)
-11r
c)
9r
d)
-11
142.

Simplify:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

143.

Simplify:

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

144.

Simplify:

n -10 + 9n - 3

a)

-3

b)

9n-3

c)

n

d)

10n -13

145.

Simplify:

19 - 3 + 5b

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

146.

Simplify:

5 + 4x + 2x - 8

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

147.

-8d+8d

(a)  

148.

12a-5a

(a)  

149.

-5c-6c

(a)  

150.

4p-11p

(a)  

151.

2h-9h+5h

(a)  

152.

8x-10x+x

a)

2x

b)

-x

c)

-2x

d)

x

153.

11q+8-q

(a)  

154.

-4k-7+5k

(a)  

155.

7m-10-4m+3

(a)  

156.

8r-9-2r-1

(a)  

157.

12-6z-5+10z

(a)  

158.

6w-12-w+11

a)

5w-1

b)

5w+1

c)

7w-1

d)

7w+1

159.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
160.
3x - 5x
a)
2x
b)
8x
c)
-2x
d)
15x2
161.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
162.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
163.
-r - 10r
a)
11r
b)
-11r
c)
9r
d)
-11
164.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
165.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
166.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
167.
Simplify the following expression:
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
168.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
169.
Simplify the following expression:
-7x +5 (1 - 8x)
a)
-33x + 5
b)
5 + 33x
c)
47x + 5
d)
5 - 47x
170.
Simplify the following expression:
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
171.
Simplify the following expression:
-8 (5b + 2) -7 (b - 5)
a)
-33b + 19
b)
-47b2 +  21
c)
33b - 19
d)
-47b -19
172.
Simplify the following expression:
(5 + 7p2)  - (2p4 - 3)
a)
2 + 7p2 + 2p4
b)
2p4 + 7p2 + 13
c)
-2p4 - 7p2 + 2
d)
-2p4 + 7p2 + 8
173.
Simplify the following expression:
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
174.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
175.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
176.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
177.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
178.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
179.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
180.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
181.
Simplify the following expression:
-7x +5 (1 - 8x)
a)
-33x + 5
b)
5 + 33x
c)
47x + 5
d)
5 - 47x
182.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
183.
Simplify the following expression:
-8 (5b + 2) -7 (b - 5)
a)
-33b + 19
b)
-47b2 +  21
c)
33b - 19
d)
-47b -19
184.
Simplify the following expression:
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
185.
Simplify the following expression:
-8 (5b + 2) -7 (b - 5)
a)
-33b + 19
b)
-47b2 +  21
c)
33b - 19
d)
-47b -19
186.
Simplify the following expression:
(5 + 7p2)  - (2p4 - 3)
a)
2 + 7p2 + 2p4
b)
2p4 + 7p2 + 13
c)
-2p4 - 7p2 + 2
d)
-2p4 + 7p2 + 8
187.
Simplify the following expression:
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
188.
LAST QUESTION!
Simplify the following expression:
(5x4 - 3x + 8x2) - (8x4 - 7x2)
a)
13x4 - 3x + 1x2
b)
-3x4 + 15x2 - 3x
c)
-3x4 - 1x2 + 3x
d)
13x4 + 15x2 - 3x
189.

Identify the like terms in the following expression:


-7x + 9 - 2x

a)

9, -2x

b)

-7x, 9

c)

-7x, 9 , -2x

d)

-7x, -2x

190.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
191.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
192.
12r - 8 -12
a)
8
b)
12r + 4
c)
12r -20
d)
-8
193.
-4x - 10x
a)
-14
b)
6x
c)
-6x
d)
-14x
194.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
195.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
196.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
197.
Simplify the following expression:
-9(14p - 8) - 4p
a)
130p - 72
b)
122p - 72
c)
-130p - 18
d)
-130p + 72
198.
Simplify the following expression:
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
199.
3 - 5(a - 4)
a)
23 - 5a
b)
5a - 23
c)
18a
d)
-18a
200.
-5a - 2(a - 1)
a)
-7a + 2
b)
-9a
c)
-7a - 2
d)
12a - 2
201.

What is the perimeter of the shape?

(a)  

202.

Select all sets that contain like terms.

a)

3x, -4x, 5x

b)

3, 3x, 3y

c)

8, -91, 72

d)

4h, 6, 9h

203.

Factor the expression below

15x − 4015x\ -\ 40  

(a)  

204.

Simplify

−(3x −4y +2)-\left(3x\ -4y\ +2\right)  

a)

-3x +4y +2

b)

-3x -4y +2

c)

-3x -4y -2

d)

-3x +4y -2

205.

Simplify

5x + 3 - 2x

a)

3x - 3

b)

3x + 3

c)

7x + 3

d)

8x - 2

206.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
207.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
208.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
209.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
210.

What expression can you use to help you find the perimeter of this triangle?

a)

-6 + 8x

b)

6x + 2

c)

6x - 2

d)

6x + 8

211.

Which expression can you use to help you find the perimeter of this rectangle?

a)

6x

b)

16x

c)

12x

d)

8x

212.

Which expression can help you find the perimeter of this triangle?

a)

3x + x

b)

4x + 6

c)

5x + 6

d)

6x + 6

213.

A diagram of a fenced-in garden is shown. Which expression can help you find the amount of fence needed to surround the garden?

a)

2x + 10

b)

5x + 10

c)

2x + 10

d)

4x + 10

214.

Which expression can help you find the perimeter of the rectangle?

a)

2n + 2

b)

4n + 4

c)

2n + 4

215.

Which expression can help you find the perimeter of this triangle?

a)

4a + 10

b)

3a + 10

c)

a3 + 10

d)

3a + 5

216.

Which expression represents the perimeter of the rectangle?

a)

6x + 22

b)

6x + 11

c)

12x + 22

d)

12x + 11

217.

Robert had cc   coins. Then he found 70 more coins. Choose the expression that shows how many coins Robert has now?

a)

cc    

b)

    c+70c+70  

c)

     c−70c-70  

d)

70c70c  

218.

There are 4 swimmers in the swimming club. The club bought cc   swimming caps to split among it's members. Choose the expression that shows how many caps each swimmer will get.

a)

4c4c     

b)

   c+4c+4   

c)

     c4\frac{c}{4}   

d)

c−4c-4   

219.

Evaluate the expression for s = 2 & t = 9

  st =st\ =   

a)

11  

b)

 7 

c)

  18 

d)

 -7 

220.

Evaluate the expression for b = –2 and c = –12.

  bc + c =bc\ +\ c\ =    

a)

12

b)

-36

c)

-12

d)

36

221.

Evaluate the expression for q = 8.5 and r = 3.

  qr −rqr\ -r   

a)

14.5

b)

28.5

c)

  8.5

d)

22.5

222.

Simplify this expression (combine like terms)

10t−t−7t+2t10t-t-7t+2t  

a)

4t4t   

b)

  20t20t  

c)

   16t16t  

d)

  18t18t  

223.

Simplify this expression (combine like terms)

2x2+5x−3−2x−92x^2+5x-3-2x-9    

a)

   2x2+3x+62x^2+3x+6  

b)

5x2+65x^2+6   

c)

  2x2+3x−122x^2+3x-12  

d)

  2x2−3x−62x^2-3x-6  

224.

Simplify this expression (using the distributive property)

2(q+5)2\left(q+5\right)     

a)

   2q+102q+10   

b)

2q+72q+7    

c)

  2+q+52+q+5   

d)

   2q−52q-5  

225.

Simplify this expression (using the distributive property)

−5(−5+2k)-5\left(-5+2k\right)      

a)

  −25+10k-25+10k    

b)

25−10k25-10k     

c)

    25+10k25+10k  

d)

    10+3k10+3k  

226.

Simplify this expression (using the distributive property and combining like terms)

7(4x−3)−5(6x+5)7\left(4x-3\right)-5\left(6x+5\right)       

a)

     58x+4658x+46  

b)

−2x−46-2x-46      

c)

     2x+462x+46  

d)

     58x−4658x-46  

227.

Factor 70q+30r70q+30r  

a)

10(7q+3r)10\left(7q+3r\right)  

b)

7(7q+10r)7\left(7q+10r\right)   

c)

   3(7q+3r)3\left(7q+3r\right)  

228.

Factor 15m+9n−2715m+9n-27   

a)

3(5m+3n−9)3\left(5m+3n-9\right)   

b)

3(5m+3m+9)3\left(5m+3m+9\right)    

c)

   3(5m−3n−9)3\left(5m-3n-9\right)   

229.

Solve the following using partial products: 78 x 6

a)

668

b)

468

c)

476

d)

500

230.

What multiplication problem is represented by this area model?

a)

4 x 370

b)

4 x 300

c)

4 x 379

d)

4 x 3,079

231.

What partial product goes in area A in this area model?

a)

120

b)

1,200

c)

12,000

d)

700

232.

Which of the following shows the correct way to use expanded form to multiply 3,472 x 9?

a)

3,472 x 9

b)

(3,000 x 472) + 9

c)

(9 x 3,000) + (9 x 400) + (9 x 70) + (9 x 2)

d)

(9 x 3,472) + (9 x 3,472)

233.

What is the partial product way to solve

3 x 45?

a)

(30 x 4) + (30 x 5)

b)

3 x 40 x 5

c)

3 x (4 + 5)

d)

(3 x 40) + (3 x 5)

234.

Milo and Julie decided to travel to Hawai'i. They gathered their surfboards and put them in their VW Bus. They drove for 368 miles each day for 5 days. How many total miles did they drive?

a)

373 miles

b)

1,840 miles

c)

1,340 miles

d)

1,740 miles

235.

Mrs. Tate spent $974 for the Kona Ice truck to come each day. If the truck comes for 4 days, how much did she spend in all?

a)

$3,896

b)

$978

c)

$19,480

d)

$656

236.

Which strategy could help you solve

7 x 800?

a)

7 x 8 = 56, so 7 x 800 = 5,600

b)

7 + 8 = 15, so 7 x 800 = 1,500

c)

7 x 8 = 64, so 7 x 800 = 6,400

d)

7 x 8 = 42, so 7 x 800 = 4,200

237.

Select all the expressions that show 12,000.

a)

3 x 400

b)

30 x 400

c)

600 x 20

d)

80 x 200

e)

10 x 1,200

238.

Solve for the product.

4,473 x 8

a)

144,000

b)

31,311

c)

6,984

d)

35,784

239.
Find the perimeter of the rectangle.
a)
3x + 7
b)
6x + 14
c)
18x + 6
d)
18x + 6
240.
Find the perimeter of the rectangle
a)
2x - 2 
b)
6x - 15 
c)
4x - 4 
d)
6x - 15
241.
Find the perimeter of the rectangle.
a)
16x + 20
b)
8x + 10
c)
80x
d)
18x
242.
Find the area of the rectangle.
a)
9x2 - 2x
b)
9x2 - 2
c)
10x - 2
d)
20x - 4 
243.
Find the area of the rectangle.
a)
8x + 12
b)
4x + 6
c)
3x2 + 6x
d)
3x2 + 6 
244.
The perimeter of the
 triangle is 10x+20. Find the length of the missing side
a)
6x+10
b)
15x+30
c)
5x+10
d)
5x-10
245.

Which of the following algebraic expressions best represents the perimeter of the given polygon?

a)

3x + 24

b)

2x + 10

c)

3x + 10

d)

3x + 2

246.

Which of the following best represents the perimeter of the given polygon?

a)

w + 3

b)

6w + 6

c)

2 - 6w

d)

6w + 2

247.

Which of the following best represents the perimeter of the given polygon?

a)

4x + 28

b)

2x + 21

c)

3x + 21

d)

4x + 21

248.

Which of the following algebraic expressions best represents the perimeter of the given polygon?

a)

5x + 13

b)

7x + 11

c)

6x + 8

d)

7x + 12

249.

The given hexagon has all congruent sides. What expression may represent its perimeter?

a)

12x + 3

b)

(2x + 3)(2x + 3)

c)

12x + 18

d)

8x + 9

250.

What expression may be used to model the perimeter of the given polygon?

a)

12x + 2y - 2

b)

12x + 6y + 2

c)

12x + 6y - 6

d)

12x + 6

251.

Write the expression for the perimeter of the given rectangle. Choose the best answer.

a)

6x + 5

b)

12x + 10

c)

8x + 6

d)

16x + 12

252.

Simplify the expression

6(x + 2) - 4

a)

6x + 12

b)

6x + 8

c)

2x + 8

d)

14x

253.

Evaluate the expression

-(3x + 5) - 4

a)

-3x + 5

b)

-3x + -5

c)

-3x + 9

d)

-3x +-9

254.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
255.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
256.
Solve the equation:
3(x - 1) = 2x + 9
a)
x = 12
b)

X= -12

c)
x = 10
d)
x = 6
257.
Solve    8x - 2 = -9 + 7x 
a)
x = -7/15
b)
x = 7/15
c)
x = 7
d)
x = -7
258.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
259.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
260.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
261.

Solve: 2(4x-3) - 8 = 4 + 2x

a)
x = 5/3
b)
x = 3
c)
x = 1
d)
x = 2
262.
Solve the equation
4x - 5x + 9 =5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
263.

Solve the equation, if possible.
  2a−6(a−4)= −42a-6\left(a-4\right)=\ -4  

a)

7

b)

identity

c)

0

d)

-5

264.

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.

265.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
266.
5x+4=-6
a)
2
b)
-2
c)
10
d)
15
267.
-4x+1=21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
268.
-8x = -96
a)
x = -12
b)
x = 12
c)
x = 13
d)
x = 14
269.
4 + k/2 = -3
a)
14
b)
-14
c)
4
d)
-2
270.
Translate:
Five more than a number
a)
x + 5
b)
5x
c)
5 - x
d)
5 divided by x
271.
Solve the equation for the variable given.
7m+8=71
a)
10
b)
9
c)
12
d)
-10
272.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
273.
4(x+9)=20
a)
x=-4
b)
x=4
c)
x=14
d)
x=-14
274.
7(x + 2) + 3 = 73 Step 1: Distribute
7x + 14 + 3 = 73 Step 2: Combine like terms
7x + 17 = 73 Step 3: Subtract 17
                    Step 4: Divide by 7     
a)
x = -8
b)
x = 8
c)
x = - 12.86
d)
x = 12.86
275.
4(5 - x) = 8 Distribute
20 - 4x = 8 Subtract 20
Keep going...you've got this?           
 
a)
x = 3
b)
x = - 7
c)
x = 7
d)
x = - 3
276.
6(x + 3) = 48 Distribute
6x + 18 = 48 Subtract 18
6x = 30 Now what????
a)
Divide by 6
x = 5
b)
Subtract by 6
x = 24
277.
2x - 3 + 4x = 27
a)
x= 12
b)
x = 4
c)
x = 5
d)
x = 15
278.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
279.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
280.
Solve:
2(4x-3) - 8 = 4 + 2x
a)
x = 5/3
b)
x = 3
c)
x = 1
d)
x = 2
281.
Solve the equation
4x - 5x + 9 =5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
282.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
283.

Solve.

(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

284.

What is the inverse operation of addition?

a)

multiplication

b)

addition

c)

subtraction

d)

division

285.

What is the inverse operation of subtraction?

a)

multiplication

b)

addition

c)

subtraction

d)

division

286.
What is the inverse operation of multiplication? 
a)
multiplication
b)
addition
c)
subtraction 
d)
division 
287.

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.

288.
4(5 - x) = 8 Distribute
20 - 4x = 8 Subtract 20
Keep going...you've got this?           
 
a)
x = 3
b)
x = - 7
c)
x = 7
d)
x = - 3
289.

Solve the equation:

−72=6(x−2)-72=6\left(x-2\right)  

a)

10

b)

35/3

c)

-10

d)

other

290.

When solving an equation with variables on both sides, the goal is

a)

move all variables to one side & all constants to the other side by doing the opposite operations

b)

add all terms together

c)

divide away all numbers

d)

combine the x-terms & the constants into one term

291.

What is a possible first step to solve this equation:

-11 - 3x = 44 - 2x

a)

Add 3 to both sides

b)

Subtract 11 to both sides

c)

Add 11 to both sides

d)

Add 2 on both sides.

292.

What is another possible first step to solve this equation:

-11 - 3x = 44 - 2x

a)

Add 3 to both sides

b)

Add 2 to both sides

c)

Subtract 2x to both sides

d)

Add 2x on both sides.

293.

Solve the equation:

-11 - 3x = 44 - 2x

a)

33

b)

11

c)

-55

d)

55

294.

Combine like terms first, then solve the equation:

4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

295.

Solve the equation:

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

296.

7(x + 2) + 3 = 73 Step 1: Distribute

7x + 14 + 3 = 73 Step 2: Combine like terms

7x + 17 = 73 Step 3: Subtract 17

Step 4: Divide by 7

a)

x = -8

b)

x = 8

c)

x = - 12.86

d)

x = 12.86

297.

12x - 15 = 3(2x+3) 1. Distribute

12x - 15 = 6x + 9 2. Finish solving

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

298.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
299.

Rate your ability to solve multi-step equations.

a)

I do not know how to solve multi-step equations.

b)

I can solve multi-step equations when I have help.

c)

I can solve multi-step equations but sometimes I mix up what to do first.

d)

I am an expert at solving multi-step equations.

300.

Solve the equation, if possible.
  2a−6(a−4)= −42a-6\left(a-4\right)=\ -4  

a)

7

b)

14

c)

0

d)

-5

301.

Solve the equation, if possible.
  2x−14=−3x+62x-14=-3x+6  

a)

20

b)

no solution

c)

identity

d)

4

302.

Solve the equation, if possible.
  6m+5−3m=7(m−1)6m+5-3m=7\left(m-1\right)  

a)

3

b)

0

c)

7

d)

5

303.

Solve the equation, if possible.
  13k+3(k+11)=8k−713k+3\left(k+11\right)=8k-7  

a)

5

b)

3

c)

−3-3  

d)

-5

304.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
305.
5b + 3(b + -5) = 1
a)
3/4
b)
-3/4
c)
2
d)
-7/4
306.

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

a)

x = 4

b)

x = 16

c)

x = 8

d)

x = 2

307.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
308.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
309.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
310.

Solve the equation:

3(x - 1) = 4x + 9 - 2x

a)

x = 12

b)

15

c)

x = 10

d)

x = 6

311.

Solve:

2(4x-3) - 8 = - 4 + 2x + 8

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

312.
Solve the equation
4x - 5x + 9 =5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
313.

11v - 4(v + 8) - 3v = 8

a)

2

b)

10

c)

4

d)

-4

314.

x - 3 + 2x = 27 - 3x

a)

12

b)

4

c)

5

d)

15

315.

13x + 9 - 3x = x - 9 + 3x

a)

0

b)

3

c)

-3

d)

-18

316.

7w + 5 = w - 15 - 4w

a)

5

b)

-2

c)

2

d)

-5

317.

8(w - 1) = 2x + 16 - 6x

a)

8

b)

16

c)

24

d)

2

318.
12x - 15 = 3(2x+3)
a)
x = 4
b)
x = -4
c)
x = 2
d)
x = -2
319.

2(x + 6) + 3 = 4x + 9 + x

a)

16

b)

2

c)

-8

d)

-10

320.

5x + 4 = -6

a)

x = 2

b)

x = -2

c)

x = -2/5

d)

x = -2.5

321.

-3.5x - 8 = -9.75

a)

x = -5.1

b)

x = 1.75

c)

x = 0.5

d)

x = 5.1

322.

6x + 5x = -11

a)

x = -6

b)

x = 1

c)

x = 6

d)

x = -1

323.

4x + 6 + 8 = 17

a)

x = 0.75

b)

x = 2.25

c)

x = 2

d)

x = -1

324.

x + 11 + 8x = 29

a)

x = 2.25

b)

x = 5

c)

x = 2

d)

x = 1

325.

-5(2x + 4) = -30

a)

x = -3.4

b)

x = -2

c)

x = 1

d)

x = 3.4

326.

-(3x - 4) = 2x + 12

a)

x = -3.2

b)

x = 1.6

c)

x = 3.2

d)

x = -1.6

327.

10(1 + 3x) = -20

a)

x = -1

b)

x = -3.3

c)

x = 4

d)

x = 2

328.

8(4x - 4) = -5x - 32

a)

x = 1

b)

x = 12

c)

x = -1

d)

x = 0

329.

9x - 8 = 7(x - 4) + 10

a)

x = -5

b)

x = -3

c)

no solution

d)

x = -1

330.

3x - 20 = -(x - 8)

a)

no solution

b)

x = 3

c)

x = 7

d)

infinite solutions

331.

6x + 1 = 2(3x - 4)

a)

no solution

b)

x = -4

c)

x = 1

d)

x = 6

332.

10x - 3 = 5(2x - 4) + 17

a)

no solution

b)

x = 17

c)

x = -3

d)

infinite solutions

333.

7(x + 3) - 2x = 3(x + 7)

a)

x = 1

b)

x = 0

c)

no solution

d)

x = 1

334.

2(2x + 1) = 10 + 4(x - 3)

a)

x = -2

b)

no solution

c)

x = 2

d)

x = 10

335.

What is the inverse of addition?

a)

subtraction

b)

multiplication

c)

division

336.

What is the inverse of subtraction?

a)

division

b)

addition

c)

multiplication

337.

What is the inverse of division?

a)

addition

b)

subtraction

c)

multiplication

338.

What is the inverse of multiplication?

a)

division

b)

addition

c)

subtraction

339.

In DCMAM (Don't call me after midnight)," what does the C stand for?

a)

constant

b)

combine like terms

c)

coefficient

d)

comb

340.

Solve the following equation:

−1x+4x+6=9-1x+4x+6=9  

(a)  

341.

Solve the following equation:

2(x+4)=142\left(x+4\right)=14  

(a)  

342.

Solve the following equation:

−5(−1x−1)=15-5\left(-1x-1\right)=15  

(a)  

343.

Solve the following equation:

7(x−1)−3−8x=−97\left(x-1\right)-3-8x=-9  

(a)  

344.

Solve the following equation:

5(2x+5)−5x=505\left(2x+5\right)-5x=50  

(a)  

345.

Solve the following equation:

2x+48=10x2x+48=10x  

(a)  

346.

Solve the following equation:

4x+4=2x+364x+4=2x+36  

(a)  

347.

Solve: 7x = 3x + 24

a)

10

b)

4

c)

6

d)

14

348.

Solve: 10x + 9 = 4x - 9

a)

3

b)

0

c)

-18

d)

-3

349.

24 = 3(3x −7)24\ =\ 3\left(3x\ -7\right)

a)

x = −9x\ =\ -9  

b)

x = 5x\ =\ 5  

c)

x =3x\ =3  

d)

x = 7x\ =\ 7  

350.

x + 11 + 8x = 29x\ +\ 11\ +\ 8x\ =\ 29  

a)

x =0x\ =0  

b)

x = 1x\ =\ 1  

c)

x = 2x\ =\ 2  

d)

x = 3x\ =\ 3  

351.
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
352.
Solve the equation:
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
353.

3x + 9 + 4x = 2

a)
-1
b)
1
c)
no solution
d)
-7
354.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
355.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
356.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
357.
Solve for x.
a)
55
b)
60
c)
15
d)
35
358.

x3+10=15\frac{x}{3}+10=15  

a)
75
b)
15
c)
25
d)
5
359.

−(x−8)=−2-\left(x-8\right)=-2  

a)
6
b)
10
c)
-10
d)
-6
360.
When you solve one-step equations, you can do anything you want to one side of the equal sign, as long as...
a)
it is mathematical
b)
you do the SAME thing to the other side
c)
solving equations is impossible
d)
I love Snow Days!
361.
In an equation, you want to get the variable...
a)
on one side
b)
to disappear
c)
by itself
d)
to sing and dance
362.
To solve one-step equations, you have to use the ________________ operation.
a)
Integer
b)
Inverse
c)
Additive
d)
Subtractive
363.
The inverse operation of addition is _______________.
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
364.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 5 to both sides
b)
add 15 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
365.

Evaluate (Solve):


f-22=36

a)

f = 62

b)

f = 14

c)

f = 58

d)

f = 12

366.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Subtract 62 from each side. 
b)
Add 62 to each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
367.

Solve for x.


x + 12 = 20

a)

x = 8

b)

x = -32

c)

x = 32

d)

x = -8

368.

Evaluate (solve).


y - 4.6 = 12

a)

y = 16.6

b)

y = 5.8

c)

y = 7.4

d)

Answer not Given

369.

What is the value of V?


V + 23 = 45

a)

V = 68

b)

V = 22

c)

V = -22

d)

Not Here

370.

Solve the equation:


x - 5.5 = 10.5

a)

x = 5.5

b)

x = 5

c)

x = -15

d)

x = 16

371.

Solve for x.


x - 8 = -5

a)

x = 13

b)

x = -13

c)

x = 3

d)

x = -3

372.

Choose the correct equation for the situation.


Jane (j) is 3 years older than Sam (s). If Jane 12, how old is Sam?

a)

s + 3 = 12

b)

s - 3 = 12

c)

j - 3 = 12

d)

j + 12 = 3

373.

What equation matches this situation?


Robyn had some video games (v) 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

374.

In 12 years, James will be 49. How old is he now?

a)

61

b)

-61

c)

-37

d)

37

375.

What is the error?

     −0.8 + r = 12.6\ \ \ \ \ -0.8\ +\ r\ =\ 12.6  
 +(−0.8)         +(−0.8)\ +\left(-0.8\right)\ \ \ \ \ \ \ \ \ +\left(-0.8\right)  
                   r = 11.8\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ r\ =\ 11.8  

a)

Subtract -0.8 from each side not add

b)

Divide -0.8 from each side not add

c)

Subtract 12.6 from both sides.

376.

A discounted amusement park ticket cost $44 and it costs $12.95 less than the original price p. Write and solve and equation to find the original price.

a)

$56.95

b)

$45.65

c)

$60.00

d)

$65.95

377.

The temperature at 5 P.M. is 20 degrees F. The temperature at 10 P.M. is -5 degrees F. How many degrees did the temperature fall?

a)

25

b)

40

c)

15

d)

20

378.

A biker orders 162 eggs. Each cartoon contains 18 eggs. What equation can you use to find the number x of cartons? Explain your reasoning and solve the equation.

a)

162x = 18

b)


x18= 162\frac{x}{18}=\ 162

c)

18x = 162

d)

x +18 = 162

379.

The length of an American flag is 1.9 times its width which is 9.5 ft. What is the width of the flag?

a)

5 ft

b)

10 ft

c)

19 ft

d)

20 ft

380.

10π=2x10\pi=2x  

a)

5π=x5\pi=x  

b)

8 = x

c)

8π=x8\pi=x  

d)

5 = x

381.

x3=10\frac{x}{3}=10  

a)

x = 30

b)

x = 13

c)

x = 7

d)

x = 3.33

382.

23x =20\frac{2}{3}x\ =20  

a)

x = 30

b)

x = 23

c)

x = 30

d)

x = 19

383.

Which operations are inverses of each other?
+, -, ×, ÷\times,\ \div  

a)

+, -

b)

+,  ÷\div  

c)

-, x

d)

÷\div  , x

384.

Which property of equality would you use to solve the equation 14x = 56?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

385.

x + 23 = -45

a)

x = -23

b)

x = -68

c)

x = -12

d)

x = 64

386.

m - 14 = 76

a)

m = 90

b)

m = 52

c)

m = -62

d)

m = 80

387.

18 = k - 22

a)

k = 32

b)

k = -4

c)

k = 4

d)

k = 40

388.

n - 72 = -14

a)

n = 58

b)

n = -86

c)

n = 52

d)

n = -48

389.

216 = u - 129

a)

u = 87

b)

u = 285

c)

u = 345

d)

u = -138

390.

142 = j + 204

a)

j = 64

b)

j = -84

c)

j = -62

d)

j = 346

391.

13x = 65

a)

x = 4

b)

x = 5

c)

x = -3

d)

x = 7

392.

16 = m/8

a)

m = 98

b)

m = 128

c)

m = 2

d)

m = 136

393.

c/-2 = -91

a)

c = 182

b)

c = -45

c)

c = -182

d)

c = 194

394.

12y = 5424

a)

y = 484

b)

y = 456

c)

y = 452

d)

y = 543

395.

-60 = 5a

a)

a = 12

b)

a = -12

c)

a = 300

d)

a = -300

396.

r/2 = 56

a)

r = 112

b)

r = 54

c)

r = 102

d)

r = 92

397.

-85 = 17b

a)

b = -5

b)

b = 35

c)

b = 5

d)

b = -7

398.

t - 24 = 89

a)

t = 65

b)

t = 93

c)

t = 113

d)

t = 128

399.
a)

-2

b)

14

c)

48

d)

2

400.

a)

5

b)

-5

c)

1

d)

-1

401.

a)

14

b)

-33

c)

-14

d)

33

402.

a)

48

b)

-42

c)

15

d)

-15

403.
a)

10

b)

-10

c)

21

d)

-21

404.

a)

16

b)

-16

c)

10

d)

-10

405.
x + 4 = -3
a)
-1
b)
4
c)
-7
d)
8
406.
5 = f - 2
a)
4
b)
7
c)
-3
d)
2
407.
35 = y - 3
a)
-38
b)
-4
c)
32
d)
38
408.
w - 4 = 18
a)
22
b)
14
c)
-14
d)
-22
409.
3x + 7
The variable is:
a)
7
b)
3
c)
x
d)
-4
410.
-5y + 8
The coefficient of the variable is 
a)
y
b)
8
c)
-5
d)
2
411.
6 x = -30
x=
a)
2
b)
7
c)
-5
d)
5
412.
Distribute to simplify -3( x + 7)=
a)
5x + 9
b)
-3x + 21
c)
-3x - 21
d)
3x+ 21
413.
-4x = -36
x=
a)
4
b)
5
c)
-9
d)
9
414.
m/5 = -3
m divided by 5 is equal to negative three
m= 
a)
-5
b)
2
c)
-15
d)
-3
415.
-10k = 50
k =
a)
-500
b)
-5
c)
-7
d)
3
416.

Andre wants to save $40 to buy a gift for his dad. Andre’s neighbor will pay him weekly to mow the lawn, but Andre always gives a $2 donation to the food bank on weeks when he earns money. Andre calculates that it will take him 5 weeks to earn the money for his dad’s gift. What equation below can be used to find how much Andre's neighbor pays him each week to mow the lawn?

a)

40 = 5x - 2

b)

40 - 5 = 2x

c)

5x + 2 = 40

d)

40 = 5(x - 2)

417.

Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 equal lengths of feet each. Which equation matches the situation?

a)

7 + 9x = 30

b)

30 = x - 7 - 9

c)

30/x = 9-7

d)

x - 30 = 7(9)

418.

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

a)

3(x + 5) = 17

b)

3x + 5 = 17

c)

5(x + 3) = 17

d)

5x + 3 = 17

419.

A piece of scenery for the school play is in the shape of a 5-foot-long rectangle. The designer decides to increase the length. There will be 3 identical rectangles with a total length of 17 feet. By how much did the designer increase the length of each rectangle?

a)

3(x + 5) = 17

b)

3x + 5 = 17

c)

5(x + 3) = 17

d)

5x + 3 = 17

420.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

421.

What story can the tape diagram represent?

a)

There are 87 children and 39 adults at a show. The seating in the theater is split into 4 equal sections.

b)

Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.

c)

Andre buys 4 packs of paper clips with 39 paper clips in each. Then he gives 87 paper clips to his teacher.

d)

Diego's family spends $87 on 5 tickets to the fair and $39 for dinner.

422.

Jim works at a local restaurant. He earns $8 an hour, plus tips. If Jim earned $350 last week, which included $270 in tips, how many hours did he work?

a)

8/h + 270 = 350

b)

350 = 270 + 8 + h

c)

350 = 270 + 8h

d)

350 -270 = h

423.

At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?


Which equation can you solve to determine the total amount of the bill?

a)

4x = 13

b)

13x = 4

c)

x/13 = 4

d)

x = 13/4

424.

Amy had $26 dollars to spend on school supplies. After buying 10 pens at the same price, she had $14.30 left. Write an equation to determine how much each pen cost.

a)

14.30/p + 10 = 26

b)

26/p = 24.30

c)

10p - 14.30 = 26

d)

14.30 + 10p = 26

425.

Which tape diagram below represents the following word problem?


Kathy has $2 in her piggy bank. She wants to save up to buy a LEGO set that costs $19. If she does chores around the house for 5 weeks how much does she need to earn each week?

a)
b)
c)
d)
426.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
427.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
428.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
429.
-4 = 2t - 2 
a)
-1
b)
1
c)
4
d)
0
430.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
431.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
432.
 A computer printer can print 10 pages per minute. There were already 35 pages in the tray.  The total pages printed was 115 pages. How many minutes has the printer been running?
a)
8
b)
9
c)
7
d)
10
433.
Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?
a)
2.5 hours
b)
4.5 hours
c)
7.5 hours
d)
10.5 hours
434.
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.
a)
.50x + 20 = 35
b)
.50x = 35
c)
.50 + 20x = 35 
d)
.50x - 20 = 35
435.
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.
a)
11x + 6 = 39
b)
11x - 6 = 39
c)
11 + 6x = 39
d)
66x = 39
436.
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
437.

Ms. Jacobs is a photographer. For each job she charges $135 for the first hour she works and $100 for each additional hour. Ms. Jacobs charged a total of $535 for a job on Friday. Which equation can be used to determine h, the number of additional hours she worked this job?

a)

135h+100=535

b)

135+h+100=535

c)

135+100h=535

d)

135h=535+100

438.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

24 - 7x=10

d)

10+x=14

439.
WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?
a)
x/2 + 16= 36
b)
36 + 16 = x
c)
x/2 - 16 = 36
d)
x/2 = 36 + 16
440.

Mrs. Schmidt's family bought lunch from Culvers. They also bought some sodas from Quick Trip for $5.00. The meals cost $6.00 each. The total cost of the lunch and soda was $41.00. Let x represent the cost of the number of meals that Mrs. Schmidt bought. Write the equation and solve for x.

a)

-5+6x = 41

b)

6x + 5 = 41

c)

6x = 36

d)

5 - 6x = 41

441.

A plant is currently 5cm tall and growing at a rate of 3cm a month. How many months until the plant reaches 14cm?

a)

14 = 5 + 3

b)

14 = 5x + 3

c)

14 = 3x + 5

d)

14 = 3x + 5x

442.
What is the first step in solving the equation?
a)
Add 4 to each side
b)
Subtract 4 from each side
c)
Subtract 2y from each side
d)
Divide each side by 2y
443.
For a field trip, 21 students rode in cars and the rest filled six buses.  How many students were in each bus if 189 students were on the trip?
a)
31.5 students per bus
b)
28 students per bus
c)
27 students per bus
d)
24 students per bus
444.
Emily rented a bike from Matt's Bikes.  It cost $16 plus $5 per hour.  If Emily paid $46, then she rented the bike for hour many hours?
a)
4 hours
b)
7 hours
c)
9 hours 12 minutes
d)
6 hours
445.
Which situation can be represented by the equation
40x + 20 = 200?
a)
Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
b)
Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?
c)
Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?
d)
Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?  
446.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
447.
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.
a)
.50x + 20 = 35
b)
.50x = 35
c)
.50 + 20x = 35 
d)
.50x - 20 = 35
448.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
449.
A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?
a)
18 miles
b)
20 miles
c)
22 miles
450.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

451.
WRITE AN EQUATION
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?
a)
(x-10)/4=2
b)
x-10/4=2
c)
x-10=2(4)
d)
2(x-10)=4
452.
After paying $3.32 for a sandwich, Brenda has $19.79. How much money did she start with? Which equation could you use to solve this problem?
a)
3.32m=19.79
b)
m-19.97=3.32
c)
m-3.32=19.79
453.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

a)

f + 8 = 14

b)

f - 8 = 14

c)

f/8 = 14

d)

8f=14

454.
WRITE AN EQUATION
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
a)
0.5x+4=12
b)
x+4=12
c)
12-4=x
d)
12-4=0.5x
455.
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?
a)
C = 0.20x + 15
b)
C =15 (0.20x)
c)
C = 15 + x + 0.20
d)
C = 0.20 + 15x
456.
The first play of a football game resulted in a loss of 12 yards.  Then a penalty resulted in another loss of 5 yards.  What is the total loss or gain?
a)
a gain of 7 yards
b)
a loss of 7 yards
c)
a gain of 17 yards 
d)
a loss of 17 yards
457.
Sandy has 41 books in her library.  She bought several books at a yard sale over the weekend. She now has 94 books in her library. How many books did she buy at the yard sale?
a)
134
b)
53
c)
41
d)
60
458.
Oceanside Bike Rental Shop charges $12 plus $6 per hour for renting a bike.  Sally paid $66 to rent a bike. How many hours did she pay to have the bike checked out?
a)
6
b)
7
c)
8
d)
9
459.

Five more than half a number is six. Find the number.

a)

-2

b)

2

c)

1

d)

-1

460.

Seven less than the quotient of a number and five is two. Find the number.

a)

35

b)

25

c)

45

d)

9

461.

Three fewer than four times a number is five more than twice the number. Find the number.

a)

−13-\frac{1}{3}

b)

4

c)

1

d)

2

462.

Cherokee High School order two copiers plus a supply of toner cartridges. Each copier cost $675, and each cartridge cost $80. If the total cost was $2310, how many cartridges were ordered?

a)

20 cartridges were ordered.

b)

21 cartridges were ordered.

c)

12 cartridges were ordered.

463.

Jack bought 8 pairs of socks and a T-shirt. His bill was $18.50 without tax. The T-shirt was $6.50. What was the price of each pair of socks?

a)

Each pair of socks costs $2.00.

b)

Each pair of socks costs $1.50.

c)

Each pair of socks costs $3.00.

464.

Mrs. Petragnani wants to go to the zoo with her family. A family membership costs $25 plus an additional $3 for each child’s pass. She spent $37 for a membership and passes. How many child passes did she buy?

a)

Mrs. Petragnani bought 4 child passes.

b)

Mrs. Petragnani bought 3 child passes.

c)

Mrs. Petragnani bought 5 child passes.

465.

Papa John is 50 years old. His age is 2 years more than 3 times the age of Jimmy John. How old is Jimmy John?

a)

Jimmy John is 16 years old.

b)

Jimmy John is 17 years old.

c)

Jimmy John is 18 years old.

d)

Jimmy John is 19 years old.

466.
A garden contains 75 flowers, each of which is either pink or white.  If there are 37 pink flowers, how many white flowers are there?
a)
37f = 75
b)
75f = 37
c)
37 - f = 75
d)
37 + f = 75
467.
Hailey bought a book for $2.50 and 4 stickers.  She spent a total of 6.59.  How much did the stickers cost?
a)
$2.50 + 4s =$6.59
b)
$2.50s + 4 = $6.59
c)
$2.50 - 4s = $6.59
d)
4s - $2.50 = $6.59
468.
Seven friends bought pizza.  Each friend pitched in the same amount.  If the pizza came to a total of $14.49, how much did each friend pay?
a)
7 - p = $14.49
b)
7p = $14.49
c)
7 + p = $14.49
d)
7/p = $14.49
469.
Jazmine joined a music club.  The start up fee was $10.00.  Each song she downloads is $0.99.  If she spent a total of $15.94, how many songs did she download?
a)
$10.00 + $0.99m = $15.94
b)
$10.00m + $0.99 = $15.94
c)
$10.00/$0.99m = $15.94
d)
$10.00 - $0.99m = $15.94
470.
Jenna earns $15.00 a month for allowance.  How many months will it take her to save $105.00?
a)
$15.00 + w = $105.00
b)
$15.00 - w = $105.00
c)
$15.00/w = $105.00
d)
$15.00w = $105.00
471.
Cadin rents a bouncy house for a birthday party.  It costs $30.00 plus $4.00 per hour.  If he spends a total of $78.00, how many hours did he keep the bouncy house?
a)
$30.00 - $78.00 = $4.00h
b)
$78.00 + $30.00 = $4.00h
c)
$30.00 + $4.00h = $78.00
d)
$30.00 - $4.00h = $78.00
472.
Emily earns $14 per hour. Which equation represents how many hours she worked to earn $112? 
a)
14h = 112
b)
h + 14 = 112
c)
14 / h = 112
d)
h - 14 = 112
473.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
474.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
475.
Which equation would describe "two times a number plus five equals 15"?
a)
x + 5 = 15
b)
2x + 5=15
c)
x + 2(5) = 15
d)
2(x + 5) = 15
476.
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.
a)
.50x + 20 = 35
b)
.50x = 35
c)
.50 + 20x = 35 
d)
.50x - 20 = 35
477.
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.
a)
11x + 6 = 39
b)
11x - 6 = 39
c)
11 + 6x = 39
d)
66x = 39
478.
WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
a)
4x=472
b)
9x=472
c)
4+9x=472
d)
4+x=472
479.
Jason says that 10 less than one third of his age is 11 years old.  How old is Jason?
a)
3 years old
b)
7 years old
c)
57 years old
d)
63 years old
480.
14+3x=26
a)
x=6
b)
x=1
c)
x=4
d)
x=3
481.
82=15x-23
a)
x=9
b)
x=7
c)
x=6
d)
x=4
482.
Solve:
x – 8 = –5 
a)
13
b)
–13
c)
3
d)
–3
483.
Solve:
a)
20
b)
7
c)
10
d)
3
484.
Solve:

a)
152
b)
176
c)
5
d)
27
485.

13x + 5 = 7\frac{1}{3}x\ +\ 5\ =\ 7  

a)

6

b)

36

c)

12

d)

9

486.

What is the tape diagram for the story below:

Five students came for after-school tutoring. Lin’s teacher assigned each of them the same number of problems to complete. Then he assigned each student 2 more problems. 30 problems were assigned in all. 

a)
b)
c)
d)
487.

Which tape diagram represents the story below:

Lin had 90 flyers to hang up around the school. She gave 12 flyers to each of three volunteers. Then she took the remaining flyers and divided them up equally between the three volunteers.

a)
b)
c)
488.

Which tape diagram represents the story below:

Lin had 90 flyers to hang up around the school. After giving the same number of flyers to each of three volunteers, she had 12 left to hang up by herself.

a)
b)
c)
489.

A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. The diagram represents the situation. How many markers were originally in each box?

a)

35

b)

15

c)

25

d)

45

490.

The diagram can be represented by the equation 25 = 2 + 6x . Where can you see the 6 in the diagram?

a)

There is no 6 in the diagram.

b)

6 equal parts in the diagram.

c)

6 equal parts labeled x

d)

6 is divisible by 2

491.

Elena walked 20 minutes more than Lin. Jada walked twice as long as Elena. Jada walked for 90 minutes. The equation 2(x+20)=90 describes this situation. What does x represent in this story?

a)

The number of minutes that Elena walked

b)

The number of minutes that Jada walked

c)

The number of minutes that Lin walked

d)

Neither

492.

Shaun has four boxes. Each boxes has the same number of items. After removing 1 item from each box, he had 28 items left. Which equation best represents the story?

a)

x - 1 = 28

b)

4(x - 1) = 28

c)

4x - 1 = 28

d)

x - 4 = 28

493.

Shaun has four boxes. Each boxes has the same number of items. After removing 1 item from each box, he had 28 items left. What part of the story does x represent?

a)

The total items

b)

The items Shaun removed

c)

The number of items in 1 box before anything is removed.

d)

The number of items in 1 box after something is removed.

494.

Andre wants to save $40 to buy a gift for his dad. Andre’s neighbor will pay him weekly to mow the lawn, but Andre always gives a $2 donation to the food bank in weeks when he earns money. Andre calculates that it will take him 5 weeks to earn the money for his dad’s gift.

How much does Andre’s neighbor pay him each week to mow the lawn?

a)

$12

b)

$10

c)

$8

d)

$6

495.

Here is a tape diagram, what is the equations for the diagram?

a)

5(x + 17) = 23

b)

23 = x + 17

c)

5x + 85 = 23

d)

23 = 4x + 17

496.

Here is a tape diagram, what is the solution for x?

a)

5

b)

1.5

c)

8

d)

17