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Solving inequalities worksheets Grades 7–8

Solve inequalities like equations, flipping the sign when you multiply or divide by a negative.

The front of the free solving inequalities worksheet
Download PDFAnswer key

Free · Worked example · 36 problems · Answer key · US Letter

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How to do it

Solve like an equation. If you multiply or divide by a negative, flip the inequality sign.

−2x−5>−9-2x - 5 > -9
−2x>−4-2x > -4add 5 to both sides
x<2x < 2divide by −2; negative, so flip the sign

Example problems

  1. 4x+10<144x + 10 < 14
  2. 3x−7≥−253x - 7 \ge -25
  3. 4x+8<364x + 8 < 36
  4. 6x−4<−46x - 4 < -4

Expressions and equations

  1. Evaluating expressions
  2. Combining like terms
  3. The distributive property
  4. One-step equations
  5. Two-step equations
  6. Equations with variables on both sides
  7. Equations with parentheses
  8. Equations with fractions and decimals
  9. Solving inequalities