Math Software Online: MathScore.com
 
MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

Single Variable Inequalities - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

Want unlimited math worksheets? Learn more about our online math practice software.
See some of our other supported math practice problems.


Complexity=5, Mode=1

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   2p > - 6
Answer:
2.   5w > 5
Answer:

Complexity=5, Mode=2

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   - 2j + 4 < 6
Answer:
2.   - 3r + 4 > 13
Answer:

Complexity=10, Mode=2

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   10g + 10 ≤ 60
Answer:
2.   9c + 10 ≥ 10
Answer:

Complexity=5, Mode=3

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   3(- 3r + 2) ≤ 15
Answer:
2.   4(4q - 3) ≤ - 60
Answer:

Complexity=6, Mode=3

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   2(- 2a + 3) < 34
Answer:
2.   6(- 6x + 4) > 348
Answer:

Complexity=7, Mode=3

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   5(3a + 2) < - 80
Answer:
2.   6(- 2k + 3) ≤ - 54
Answer:

Complexity=5, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   2h - 3 > - 3h - 13
Answer:
2.   4b - 4 > b + 8
Answer:

Complexity=6, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   5n - 5 < -n + 49
Answer:
2.   - 8d + 4 > - 4d + 28
Answer:

Complexity=7, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   3y + 3 > -y + 11
Answer:
2.   - 2t + 7 ≤ 4t - 29
Answer:

Complexity=9, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   - 11x + 7 ≥ - 3x + 39
Answer:
2.   - 14n + 1 ≥ - 9n + 31
Answer:

Complexity=12, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   - 4d - 12 > - 12d - 84
Answer:
2.   20q + 4 > 10q + 54
Answer:

Complexity=15, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

1.   16j + 14 ≥ 14j + 12
Answer:
2.   d + 12 < 8d - 2
Answer:

Answers


Complexity=5, Mode=1

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
12p > - 6
Answer:
Solution
Divide by 2


p > - 3

#ProblemCorrect AnswerYour Answer
25w > 5
Answer:
Solution
Divide by 5


w > 1


Complexity=5, Mode=2

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
1- 2j + 4 < 6
Answer:
Solution
- 2j + 4 - 4 < 6 - 4
- 2j < 2

Divide by - 2
Reverse the inequality because we are dividing by a negative value.


j > - 1

#ProblemCorrect AnswerYour Answer
2- 3r + 4 > 13
Answer:
Solution
- 3r + 4 - 4 > 13 - 4
- 3r > 9

Divide by - 3
Reverse the inequality because we are dividing by a negative value.


r < - 3


Complexity=10, Mode=2

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
110g + 10 ≤ 60
Answer:
Solution
10g + 10 - 10 ≤ 60 - 10
10g ≤ 50

Divide by 10


g ≤ 5

#ProblemCorrect AnswerYour Answer
29c + 10 ≥ 10
Answer:
Solution
9c + 10 - 10 ≥ 10 - 10
9c ≥ 0

Divide by 9


c ≥ 0


Complexity=5, Mode=3

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
13(- 3r + 2) ≤ 15
Answer:
Solution
- 9r + 6 - 6 ≤ 15 - 6
- 9r ≤ 9

Divide by - 9
Reverse the inequality because we are dividing by a negative value.


r- 1

#ProblemCorrect AnswerYour Answer
24(4q - 3) ≤ - 60
Answer:
Solution
16q - 12 + 12- 60 + 12
16q- 48

Divide by 16


q- 3


Complexity=6, Mode=3

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
12(- 2a + 3) < 34
Answer:
Solution
- 4a + 6 - 6 < 34 - 6
- 4a < 28

Divide by - 4
Reverse the inequality because we are dividing by a negative value.


a > - 7

#ProblemCorrect AnswerYour Answer
26(- 6x + 4) > 348
Answer:
Solution
- 36x + 24 - 24 > 348 - 24
- 36x > 324

Divide by - 36
Reverse the inequality because we are dividing by a negative value.


x < - 9


Complexity=7, Mode=3

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
15(3a + 2) < - 80
Answer:
Solution
15a + 10 - 10 < - 80 - 10
15a < - 90

Divide by 15


a < - 6

#ProblemCorrect AnswerYour Answer
26(- 2k + 3) ≤ - 54
Answer:
Solution
- 12k + 18 - 18- 54 - 18
- 12k- 72

Divide by - 12
Reverse the inequality because we are dividing by a negative value.


k ≥ 6


Complexity=5, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
12h - 3 > - 3h - 13
Answer:
Solution
2h - 3 + 3 > - 3h - 13 + 3
2h > - 3h - 10

2h + 3h > - 3h - 10 + 3h
5h > - 10

Divide by 5


h > - 2

#ProblemCorrect AnswerYour Answer
24b - 4 > b + 8
Answer:
Solution
4b - 4 + 4 > b + 8 + 4
4b > b + 12

4b - b > b + 12 - b
3b > 12

Divide by 3


b > 4


Complexity=6, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
15n - 5 < -n + 49
Answer:
Solution
5n - 5 + 5 < -n + 49 + 5
5n < -n + 54

5n + n < -n + 54 + n
6n < 54

Divide by 6


n < 9

#ProblemCorrect AnswerYour Answer
2- 8d + 4 > - 4d + 28
Answer:
Solution
- 8d + 4 - 4 > - 4d + 28 - 4
- 8d > - 4d + 24

- 8d + 4d > - 4d + 24 + 4d
- 4d > 24

Divide by - 4
Reverse the inequality because we are dividing by a negative value.


d < - 6


Complexity=7, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
13y + 3 > -y + 11
Answer:
Solution
3y + 3 - 3 > -y + 11 - 3
3y > -y + 8

3y + y > -y + 8 + y
4y > 8

Divide by 4


y > 2

#ProblemCorrect AnswerYour Answer
2- 2t + 7 ≤ 4t - 29
Answer:
Solution
- 2t + 7 - 7 ≤ 4t - 29 - 7
- 2t ≤ 4t - 36

- 2t - 4t ≤ 4t - 36 - 4t
- 6t- 36

Divide by - 6
Reverse the inequality because we are dividing by a negative value.


t ≥ 6


Complexity=9, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
1- 11x + 7 ≥ - 3x + 39
Answer:
Solution
- 11x + 7 - 7- 3x + 39 - 7
- 11x- 3x + 32

- 11x + 3x- 3x + 32 + 3x
- 8x ≥ 32

Divide by - 8
Reverse the inequality because we are dividing by a negative value.


x- 4

#ProblemCorrect AnswerYour Answer
2- 14n + 1 ≥ - 9n + 31
Answer:
Solution
- 14n + 1 - 1- 9n + 31 - 1
- 14n- 9n + 30

- 14n + 9n- 9n + 30 + 9n
- 5n ≥ 30

Divide by - 5
Reverse the inequality because we are dividing by a negative value.


n- 6


Complexity=12, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
1- 4d - 12 > - 12d - 84
Answer:
Solution
- 4d - 12 + 12 > - 12d - 84 + 12
- 4d > - 12d - 72

- 4d + 12d > - 12d - 72 + 12d
8d > - 72

Divide by 8


d > - 9

#ProblemCorrect AnswerYour Answer
220q + 4 > 10q + 54
Answer:
Solution
20q + 4 - 4 > 10q + 54 - 4
20q > 10q + 50

20q - 10q > 10q + 50 - 10q
10q > 50

Divide by 10


q > 5


Complexity=15, Mode=4

Solve.
Sample answers: v > 5, v ≥ 6, z ≤ -3.
Type: v > 5, v >= 6, z <= -3.

#ProblemCorrect AnswerYour Answer
116j + 14 ≥ 14j + 12
Answer:
Solution
16j + 14 - 14 ≥ 14j + 12 - 14
16j ≥ 14j - 2

16j - 14j ≥ 14j - 2 - 14j
2j- 2

Divide by 2


j- 1

#ProblemCorrect AnswerYour Answer
2d + 12 < 8d - 2
Answer:
Solution
d + 12 - 12 < 8d - 2 - 12
d < 8d - 14

d - 8d < 8d - 14 - 8d
- 7d < - 14

Divide by - 7
Reverse the inequality because we are dividing by a negative value.


d > 2

Learn more about our online math practice software.

"MathScore works."
- John Cradler, Educational Technology Expert
© Copyright 2010 Accurate Learning Systems Corp. All rights reserved.