One-Step Inequality Worksheets (Multiply & Divide)

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There are three sets of solving 1-step inequality worksheets:

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

How to solve one-step inequalities using multiplication & division?

There are two sets of solving one-step inequalities worksheets (multiplication & division).

  • Solve 1-step inequalities using multiplication & division (positive coefficients).
  • Solve 1-step inequalities using multiplication & division (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 multiplication & division.

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

One Step Inequalities (Multiply, Divide)

More One Step Inequality Worksheets

(Answers on the second page.)
1-Step Inequalities Worksheet #1 (using multiplication & division)
1-Step Inequalities Worksheet #2 (include negative coefficients)

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One-step Inequality
Two-step Inequality

One-Step Inequalities

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