wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Equations & Inequalities

Total questions: 125

Worksheet time: 1hrs 3mins

Name
Class
Date
1.
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.
2.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
3.

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

4.
What is the inverse operation of subtraction?
a)
Subtraction
b)
Multiplication
c)
Division
d)
Addition
5.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
6.
Which equation has x=9 as a solution
a)
4 + x = 12
b)
5x = 45
c)
2x = 20
d)
x + 7 = 26
7.
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
8.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

9.

What is the solution of 42 = 7f

a)

294

b)

49

c)

35

d)

6

10.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
11.
Solve for k:
6k = 30
a)
k = 36
b)
k = 24
c)
k = 180
d)
k = 5
12.

Inverse Operations are operations which undo each other.

a)

True

b)

False

13.

d + 3 = 8


d = ?

a)

d = 3

b)

d = 8

c)

d = 5

d)

d = 11

14.

5 + g = 6


g = ?

a)

g = 5

b)

g = 1

c)

g = 11

d)

g = 9

15.

4 - a = 1


a = ?

a)

a = -3

b)

a = 1

c)

a = 5

d)

a = 3

16.

4g = 24


g = ?

a)

g = 96

b)

g = 28

c)

g = 6

d)

g = 20

17.

5 = p ÷ 4


p = ?

a)

p = 9

b)

p = 1

c)

p = 5

d)

p = 20

18.

w ÷ 6 = 7

a)

w = 42

b)

w = 13

c)

w = 1

d)

w = 36

19.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

20.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

21.

What is the solution of y + 5 = 10

a)

15

b)

10

c)

6

d)

5

22.

What is the solution of 13 = t + 7

a)

5

b)

6

c)

7

d)

20

23.

What is the solution of a - 5 = 9

a)

14

b)

9

c)

5

d)

4

24.

What is the solution of 10 = t - 8

a)

2

b)

4

c)

18

d)

20

25.

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

26.

Quentin bought 6 new tennis balls. If he now has a total of 18 tennis balls, how many did he start with?

a)

9

b)

12

c)

21

d)

24

27.

What is the solution of 6d = 24

a)

4

b)

5

c)

18

d)

144

28.

9b = 54

a)

558

b)

486

c)

6.8

d)

6

29.

Joe scored 4 points during the basketball game. Sam scored four times more than Joe. What equation best represents the problem if j represents Joe and s represents Sam?

a)

j + 4 = s

b)

s + 4 = j

c)

4 x s = j

d)

4 x j = s

30.
Five times as many as seven is thirty-five
a)
5 x 7 = 35
b)
35 = 5 x 7
c)
5 + 7 = 35
d)
35 = 5 + 7
31.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
32.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
33.
What is the definition of a coefficient?
a)
The letter used to represent a quantity
b)
The little number or letter used to raise to a power
c)
The number in front of a variable
d)
The number in back of a variable
34.
12 + m = 15
a)
2
b)
3
c)
4
35.
Solve for x:
3x = 6
a)
2
b)
18
c)
3
36.
To solve x - 4 = 7, what would you do to both sides?
a)
add 7 to both sides
b)
subtract 7 from both sides
c)
add 4 to both sides
d)
subtract 4 from both sides
37.
To solve 13 = x + 5, what do you do to both sides?
a)
Subtract 5 from both sides
b)
Add 5 to both sides
c)
Subtract 13 from both sides
d)
Add 13 to both sides
38.
To solve 15 = 9 + x, what do you do to both sides?
a)
Subtract 15 from both sides
b)
Add 15 to both sides
c)
Subtract 9 from both sides
d)
Add 9 to both sides
39.
To solve 4x = 20, what do you do to both sides?
a)
Subtract 4 from both sides
b)
Add 4 to both sides
c)
Multiply 4 on both sides
d)
Divide 4 from both sides
40.
To solve addition equations, you should...
a)
add
b)
subtract
c)
multiply
d)
divide
41.
To solve subtraction equations, you should...
a)
add
b)
subtract
c)
multiply
d)
divide
42.
To solve multiplication equations, you should...
a)
add
b)
subtract
c)
multiply
d)
divide
43.
To solve division equations, you should...
a)
add
b)
 subtract
c)
multiply
d)
divide
44.
To solve 10x = 45, what do you do to both sides?
a)
Subtract 10 from both sides
b)
Divide 10 from both sides
c)
Subtract 45 from both sides
d)
Divide 45 from both sides
45.
When solving equations, mathematicians want to get the variable (x) all by itself.
a)
True
b)
False
46.
If you subtract 2 from one side, you have to...
a)
add 2 to the other side
b)
subtract 2 from the other side
c)
multiply 2 on the other side
d)
divide 2 from the other side
47.
If you subtract 3 from one side, you have to subtract 3 from the other side.
a)
True
b)
False
48.

A letter used to represent a number value in an equation

a)

term

b)

coefficient

c)

variable

49.

A letter or symbol that represents an unknown value is called ______________.

a)

Variable

b)

Radicand

c)

Constant

50.
Pairs of operations that undo each other
a)
inverse operations
b)
solution
c)
inequality
51.

What is the inverse of addition? (+)

a)

Subtraction (−)

b)

Division (÷)

c)

Multiplication (×)

52.

What is the inverse of subtraction? (−)

a)

Addition (+)

b)

Division (÷)

c)

Multiplication (×)

53.

What is the inverse of multiplication? (×)

a)

Addition (+)

b)

Division (÷)

c)

Multiplication (×)

54.

What is the inverse of division? (÷)

a)

Addition (+)

b)

Subtraction (−)

c)

Multiplication (×)

55.

Which of the following matches the verbal statement?

Three less than a number is seven

a)

n - 3 = 7

b)

n=10

c)

3 - 7 = n

d)

n - 7 = 3

56.

Which of the following matches the verbal statement?

Double a number is 20 (use x as a variable)

a)

20/x = 2

b)

2x = 20

c)

20 - n = 2

d)

20/n = 2

57.

Which equation matches the verbal statement below?

The sum of x and six is eight.

a)

x + 6 = 8

b)

6x = 8

c)

x - 6 = 8

d)

x/6=8

58.

x - 8 = 5

a)

13

b)

-13

c)

3

d)

-3

59.

Which equation matches this phrase:


n divided by four is ten

a)

10n = 4

b)

n/4 = 10

c)

10 + x = 4

d)

n - 4 = 10

60.

Write an equation for the following phrase:


The product of four and a number is twelve.

a)

12x = 4

b)

4x = 12

c)

4(12) = x

d)

4 + x = 12

61.

Write an equation for the following phrase:


120 students divided into g equal groups is 20 students per group

a)

120/g = 20

b)

g/120 = 20

c)

g/20 = 120

d)

g + 20 = 120

62.

How would you say the following equation?


h + 3 = 9

a)

9 is the same as h and 9

b)

h plus 3 feet is the same as 9

c)

three less than h is 9

d)

h is 9 and 3

63.
a)

term

b)

coefficient

c)

variable

d)

constant

64.
a)
term
b)
coefficient
c)
variable
d)
constant
65.

Which equation represents this statement?


The number of eggs increased by 3 equals 14.

a)

e + 3 = 14

b)

14 + 3 = e

c)

14 - 3 = e

d)

3e = 14

66.

Write the following statement in the form of an equation:

The sum of three times x and 10 is 13.

a)

3x + 10 = 13

b)

3x – 10 = 13

c)

3x + 13 = 10

d)

none of these

67.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5 
68.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
69.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
70.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
71.
Will my circle be colored in?
5 ≥ x
a)
Yes
b)
No
72.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
73.
Which represents the word sentence as an inequality?
A number w is smaller than 5.
a)
w < 5
b)
w > 5
c)
w ≤ 5
d)
w ≥ 5
74.
Which inequality represents the below statement. I can have no more than 10 pieces of candy. 
a)
x ≥ 10
b)
x > 10 
c)
x ≤ 10 
d)
x < 10 
75.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
76.
4h < 8
a)
h<32
b)
h<2
c)
h<4
d)
h>2
77.
k/2 ≥ 8
a)
k≥16
b)
k≥6
c)
k≥4
d)
k≥10
78.
x/4 ≤ 8
a)
x≤2
b)
x≤32
c)
x≤12
d)
x≤4
79.
3g >12
a)
g>36
b)
g<36
c)
g>4
d)
g<4
80.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
81.
The product of a number and 5 is less than 55.  Find the number.
a)
x < 5
b)
x < 55
c)
x ≤ 5
d)
x < 11
82.
When graphing an inequality, you use an OPEN dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
83.
When you graph an inequality, you used a CLOSED dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
84.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
85.
Match:
You must be at least 48 inches tall to ride the bumper cars.
a)
h < 48
b)
h > 48
c)
h ≤ 48
d)
h ≥ 48
86.
x is no more than 13
a)
x < 13
b)
x > 13
c)
x ≥ 13
d)
x ≤ 13
87.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

88.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

89.

When the following inequality is graphed, what will it look like?


2 > f

a)

open circle

b)

closed circle

90.

A student must be at least 15 years old (15 years old or older) to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

91.

To order from the kids menu a person must be no more than 12 years old (less than or equal to 12 years old).

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

92.

2x > 12

a)

x > 6

b)

x < 6

c)

x ≥ 6

d)

x ≤ 6

93.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5 
94.
Solve 
a)
a≤1
b)
a≤25
c)
a>1
d)
a<25
95.
x - 7 ≥ 4
a)
x ≥ 11
b)
x ≥ -11
c)
x ≥ 3
d)
x ≥ -3
96.
14 ≥ x - 8
a)
22 ≥ x
b)
-22 ≥ x
c)
6 ≥ x
d)
-6 ≥ x
97.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
98.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
99.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
100.
 Which inequality could be used to represent the situation: you must donate at least $5 to get a free popcorn. 
a)
x < 5
b)
x > 5
c)
x ≤  5
d)
x ≥ 5
101.
 Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤  5
d)
x ≥ 5
102.
 Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤  5
d)
x ≥ 5
103.

Match the phrase or word to its symbol

no more than

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

104.

Match the phrase or word to its symbol

no less than

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

105.

Match the phrase or word to its symbol

at most

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

106.

Match the phrase or word to its symbol

greater than

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

107.

Match the phrase or word to its symbol

less than

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

108.

Match the phrase or word to its symbol

less than or equal to

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

109.

Match the phrase or word to its symbol

greater than or equal to

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

110.

Match the phrase or word to its symbol

more than

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

111.

Match the phrase or word to its symbol

at least

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

112.

Match the phrase or word to its symbol

lower than

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

113.

Match the phrase or word to its symbol

fewer than

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

114.

Match the phrase or word to its symbol

minimum

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

115.

Match the phrase or word to its symbol

maximum

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

116.

Match the phrase or word to its symbol

exceeds

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

117.

Match the phrase or word to its symbol

below

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

118.

Match the phrase or word to its symbol

above

a)

< less than

b)

> greater than

c)

< less than or equal to

d)

> greater than or equal to

119.
x - 4 > 5
a)
x < 9
b)
x ≥ 9 
c)
x > 1
d)
x > 9
120.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
121.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
122.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
123.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
124.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
125.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

Similar Resources on Wayground

2025 6th Grade Math Milestones Review

130 questions

2025 6th Grade Math Milestones Review

quiz

Worksheet

•

6th Grade

Multiplication Facts 3-12

123 questions

Multiplication Facts 3-12

quiz

Worksheet

•

3rd - 12th Grade

x'mas p6joy5

120 questions

x'mas p6joy5

quiz

Worksheet

•

6th Grade

Integer CBA Review

122 questions

Integer CBA Review

quiz

Worksheet

•

6th - 7th Grade

1201-1213

121 questions

1201-1213

quiz

Worksheet

•

6th - 8th Grade

Number Sense Review

122 questions

Number Sense Review

quiz

Worksheet

•

6th Grade

Pre-Algebra Review

122 questions

Pre-Algebra Review

quiz

Worksheet

•

6th - 8th Grade

Pre-Algebra 8th Grade Percents Review

126 questions

Pre-Algebra 8th Grade Percents Review

quiz

Worksheet

•

6th Grade - University