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Solving Inequalities and Equations

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Last updated over 2 years ago
20 questions
Note from the author:
Many of the inequalities require that the students flip the sign of the inequality.
Solve the below inequalities and equations for x. Remember to flip the direction of the inequality symbol if both sides are multiplied or divided by a negative. So that your answers register as correct, put the X on the left side of the inequality symbol or equals sign.
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Question 1
1.

Question 2
2.

-2x + 7 < 3x + 15

Question 3
3.

-9x + 4 < -7x - 6

Question 4
4.

2(x - 1) + 3 > 5x + 1

Question 5
5.

-2x > -10

Question 6
6.

-5x - 4 > 16

Question 7
7.

-4x + 3 > -21

Question 8
8.

4x - 4 < 15x + 7

Question 9
9.

-4(x+1) > 12

Question 10
10.

-3(x+6) < 9 - 6x

Question 11
11.

2(x-1) = 3(x+2) - 5

Question 12
12.

2(X - 1) - 5 > X + 3

Question 13
13.

\frac{3X+2}{5} = 2X+3

Question 14
14.

\frac{2}{x} + 3 = 5

Question 15
15.

\frac{X-2}{3} + \frac{4X+2}{2} = 2

Question 16
16.

\frac{X}{4} + 2 = \frac{3X}{8} - 1

Question 17
17.

\frac{X}{5} - \frac{1}{3} = \frac{4X - 1}{15}

Question 18
18.

\frac{9}{2x} = 3

Question 19
19.

\frac{3}{X} - \frac{4}{X} = \frac{9}{6}

Question 20
20.

\frac{X}{5} + 3 = \frac{X+10}{2} + \frac{X+6}{3}