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Worksheets›Grade 7›Expressions & equations›Two-step inequalities

Two-Step Inequalities Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 7CCSS 7.EE.B.4bAnswer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: Positive coefficients

  1. 1.9x + 10 > 19
  2. 2.9x + 12 > 39
  3. 3.6x + 3 < 15
  4. 4.4x + 20 > 60
  5. 5.3x + 1 < 28
  6. 6.9x + 11 > 74
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

Solve an inequality like an equation. The one difference: multiplying or dividing both sides by a negative number reverses the inequality sign.

Easy2x + 15 < 33Positive coefficientsMedium8x − 18 ≥ −90Negative constants, ≤ and ≥Hard−3x − 16 ≤ −28Negative coefficients (the sign flips)

How to solve it: a worked example

Solve each inequality.

  1. Start3x + 5 > 17
  2. Subtract 5 on both sides3x > 12
  3. Divide by 3x > 4
  4. Answerx > 4

Common mistakes to watch for

  • Forgetting to flip the sign after dividing by a negative.
  • Flipping the sign when subtracting a negative, which does not change the direction.
  • Writing the answer as an equation instead of an inequality.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Combining like termsDistributive propertyTwo-step equationsMulti-step equations (Grade 8)Equations with variables on both sides (Grade 8)

FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix two-step inequalities with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.