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Grade 9 Absolute Value Equations & Inequalities Worksheet with Answers

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

Unit 1: Equations & InequalitiesInequalities & Absolute ValueCCSS A-CED.A.1

Solving equations and inequalities that contain absolute values, including ones with no solution. 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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Absolute Value Equations & Inequalities

Grade 9 · Math

Score___ / 12

Name

Class

Date

Learning goal: Inequalities & Absolute Value · CCSS A-CED.A.1

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

Example

Solve: |x - 2| = 6

Answer: x = 8 or x = -4

RememberAbsolute value equations

−8−6−4−202468|x| = 5 means x is 5 away from 0: x = 5 or x = −5|x − a| = b → x − a = b or x − a = −b (two answers)
  1. 1

    Solve: |x + 3| = 11

    Answer
  2. 2

    Solve: |x - 2| = 12

    Answer
  3. 3

    Solve: |4x - 4| = 12

    Answer
  4. 4

    Solve: |x + 5| = -12

    Answer
  5. 5

    Solve: |x + 3| = 2

    Answer
  6. 6

    Solve: |x + 2| = -6

    Answer
  7. 7

    Solve: |4x + 22| = 2

    Answer
  8. 8

    Solve: |x + 8| = -7

    Answer
  9. 9

    Solve: |x + 2| = -2

    Answer
  10. 10

    Solve: |x + 5| = 5

    Answer
  11. 11

    Solve: |4x + 4| = 12

    Answer
  12. 12

    Solve: |x| = 2

    Answer

★ Challenge corner for fast finishers

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Teacher's comments

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

Answer key (click to show)
  1. 1.x = 8 or x = -14
  2. 2.x = 14 or x = -10
  3. 3.x = 4 or x = -2
  4. 4.no solution
  5. 5.x = -1 or x = -5
  6. 6.no solution
  7. 7.x = -5 or x = -6
  8. 8.no solution
  9. 9.no solution
  10. 10.x = 0 or x = -10
  11. 11.x = 2 or x = -4
  12. 12.x = 2 or x = -2
  13. ★10 (challenge corner)

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