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Grade 9 Solving Two-Step Inequalities Worksheet with Answers

Grade 9 (US) · Year 10 (UK) · Class 9 (India) · Math

Unit 1: Equations & InequalitiesInequalities & Absolute ValueCCSS A-REI.B.3

Solving inequalities in two steps, including flipping the sign when multiplying or dividing by a negative. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Solving Two-Step Inequalities

Grade 9 · Math

Score___ / 12

Name

Class

Date

Learning goal: Inequalities & Absolute Value · CCSS A-REI.B.3

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

Solve: 7x + 5 > 5

Answer: x > 0

RememberInequalities

x > 3 open circle: 3 is not includedx ≤ 3 closed circle: 3 is includedFlip the sign if you multiply or divide both sides by a negative number.
  1. 1

    Solve: -4x + 6 ≥ -42

    Answer
  2. 2

    Solve: -5x - 10 ≥ -20

    Answer
  3. 3

    Solve: 5x + 4 ≥ 24

    Answer
  4. 4

    Solve: 4 < x + 3 < 8

    Answer
  5. 5

    Solve: -7 < x - 5 < -1

    Answer
  6. 6

    Solve: -1 < x - 3 < 3

    Answer
  7. 7

    Solve: 3x - 1 > 35

    Answer
  8. 8

    Solve: 9x + 6 ≤ 105

    Answer
  9. 9

    Solve: 0 < x + 4 < 7

    Answer
  10. 10

    Solve: -8 < x - 4 < -4

    Answer
  11. 11

    Solve: -9x - 5 > 13

    Answer
  12. 12

    Solve: 3x - 10 ≥ -40

    Answer

★ Challenge corner for fast finishers

You have 3 shirts, 4 pairs of pants and 2 hats. How many different outfits of one shirt, one pair of pants and one hat can you make?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/9/inequalities_solve

Answer key (click to show)
  1. 1.x ≤ 12
  2. 2.x ≤ 2
  3. 3.x ≥ 4
  4. 4.1 < x < 5
  5. 5.-2 < x < 4
  6. 6.2 < x < 6
  7. 7.x > 12
  8. 8.x ≤ 11
  9. 9.-4 < x < 3
  10. 10.-4 < x < 0
  11. 11.x < -2
  12. 12.x ≥ -10
  13. ★24 (challenge corner)

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