One-Step Inequality Worksheets (all operations)

Printable “Linear Inequality” worksheets:
Solve 1-step inequalities (addition & subtraction)
Solve 1-step inequalities (multiplication & division)
Solve 1-step inequalities (all operations)
Solve linear inequalities (include number lines)

Examples, solutions, videos, and worksheets to help Grade 6 and Grade 7 students learn how to solve one-step inequalities using addition, subtraction, multiplication & division.

How to solve one-step inequalities (all operations)?

There are two sets of solving one-step inequalities worksheets (all operations).

• Solve 1-step inequalities using all operations (positive coefficients).
• Solve 1-step inequalities using all operations (include negative coefficients).

These are the steps to solve one-step inequalities:

1. Isolate the variable. This means getting the variable by itself on one side of the inequality. You can do this by adding, subtracting, multiplying, or dividing both sides of the inequality by the same number, as long as you do it to both sides.
2. Remember the sign change rule. When you multiply or divide both sides of an inequality by a negative number, you have to flip the direction of the inequality symbol. For example, if you start with an inequality like x > 3, and you multiply both sides by -2, the inequality becomes x < -6.

For example,
Original inequality: -3x < 12
Isolate the variable: x > 12/-3 (remember to flip the inequality symbol because dividing by -3)
Simplify: x > -4

Have a look at this video if you need to review how to solve 1-step inequalities using all operations.

• How to Solve One-Step Inequalities (all operations)

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more One Step Inequalities Worksheets.

 

More One Step Inequality Worksheets

Printable
(Answers on the second page.)
1-Step Inequalities Worksheet #1 (all operations)
1-Step Inequalities Worksheet #2 (include negative coefficients)

Online or Generated
One-step Inequality
Two-step Inequality

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One-Step Inequalities

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