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Grade 6 One-step inequalities Worksheets

Grade 6 practice: Solve an inequality using an inverse operation. Choose a level below to generate a fresh set of questions.

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Understanding one-step inequalities

One-step inequalities are solved much like one-step equations, by undoing a single operation with its inverse, but the answer is a range of values rather than one number. Students isolate the variable and keep the inequality sign, remembering the special rule that multiplying or dividing both sides by a negative number flips the direction of the sign.

To solve x + 5 > 12, subtract 5 from both sides to get x > 7. To solve −2x < 10, divide both sides by −2 and flip the sign to get x > −5. A common mistake is forgetting to flip the sign when dividing by a negative. Tip: solve exactly as you would an equation, but each time you multiply or divide both sides by a negative number, reverse the inequality symbol, and test one value from your solution to confirm it works.

Sample one-step inequalities questions

These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.

  1. Solve: 8x > 32.
  2. Solve: 13x < 143.
  3. Solve: x − 7 > 6.
  4. Solve: 7x < -35.
Check the sample answers
  1. x > 4
  2. x < 11
  3. x > 13
  4. x < -5

Practice focus

Solve an inequality using an inverse operation. Show each step and check the answer.

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