When does the inequality sign flip?

Only when you multiply or divide both sides by a negative number. Adding or subtracting a negative never flips it.

How do I print or save these worksheets as a PDF?

Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.

Can I get a fresh set of problems?

Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.

Is this worksheet generator free?

Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.

Inequalities worksheet generator

Inequality practice that mirrors equation solving, with the crucial twist: dividing by a negative flips the inequality sign.

Inequalities

Name: Date:

1.
x + 13 ≤ 18
2.
x + 12 ≥ 18
3.
x + 15 ≤ 28
4.
x + 4 ≤ 19
5.
x + 13 < 18
6.
x + 10 ≥ 22
7.
x + 4 < 6
8.
x + 1 ≤ 3
9.
x + 4 ≥ 18
10.
x + 1 > 12
11.
x + 1 ≥ 12
12.
x + 13 ≥ 27
13.
x + 8 < 12
14.
x + 13 ≥ 18
15.
x + 1 < 15
16.
x + 11 > 23
17.
x + 15 < 17
18.
x + 1 ≤ 13
19.
x + 3 ≥ 6
20.
x + 12 ≤ 26

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Inequalities — Answer Key

Name: Date:

1.
x + 13 ≤ 18
x ≤ 5
2.
x + 12 ≥ 18
x ≥ 6
3.
x + 15 ≤ 28
x ≤ 13
4.
x + 4 ≤ 19
x ≤ 15
5.
x + 13 < 18
x < 5
6.
x + 10 ≥ 22
x ≥ 12
7.
x + 4 < 6
x < 2
8.
x + 1 ≤ 3
x ≤ 2
9.
x + 4 ≥ 18
x ≥ 14
10.
x + 1 > 12
x > 11
11.
x + 1 ≥ 12
x ≥ 11
12.
x + 13 ≥ 27
x ≥ 14
13.
x + 8 < 12
x < 4
14.
x + 13 ≥ 18
x ≥ 5
15.
x + 1 < 15
x < 14
16.
x + 11 > 23
x > 12
17.
x + 15 < 17
x < 2
18.
x + 1 ≤ 13
x ≤ 12
19.
x + 3 ≥ 6
x ≥ 3
20.
x + 12 ≤ 26
x ≤ 14

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Frequently asked questions

When does the inequality sign flip?: Only when you multiply or divide both sides by a negative number. Adding or subtracting a negative never flips it.
How do I print or save these worksheets as a PDF?: Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.
Can I get a fresh set of problems?: Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.
Is this worksheet generator free?: Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.