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20 questions and an answer page, sized for A4.

Absolute value equations

Year 10 · Patterns & Algebra · 20 questions

Name
Date
  1. 1.
    |-7 − (2)| = ?
  2. 2.
    Solve |x − 7| = 9
    a)x = 16b)x = 16 or x = -16c)x = -2 or x = 2d)x = 16 or x = -2
  3. 3.
    |4 − (-2)| = ?
  4. 4.
    |-2 − (9)| = ?
  5. 5.
    Solve |x − 0| = 5
    a)x = 5 or x = -5b)x = 5c)x = -5 or x = 5
  6. 6.
    Solve |x + 4| = 6
    a)x = 2b)x = 2 or x = -2c)x = -10 or x = 10d)x = 2 or x = -10
  7. 7.
    |-5 − (0)| = ?
  8. 8.
    Solve |x − 0| = 4
    a)x = 4 or x = -4b)x = 4c)x = -4 or x = 4
  9. 9.
    |-9 − (-3)| = ?
  10. 10.
    Solve |x − 5| = 7
    a)x = -2 or x = 2b)x = 12 or x = -2c)x = 12 or x = -12d)x = 12
  11. 11.
    |8 − (9)| = ?
  12. 12.
    Solve |x + 4| = 3
    a)x = -1 or x = 1b)x = -7 or x = 7c)x = -1d)x = -1 or x = -7
  13. 13.
    |3 − (8)| = ?
  14. 14.
    |-8 − (2)| = ?
  15. 15.
    |-5 − (-2)| = ?
  16. 16.
    Solve |x − 1| = 9
    a)x = -8 or x = 8b)x = 10 or x = -10c)x = 10d)x = 10 or x = -8
  17. 17.
    Solve |x − 2| = 9
    a)x = -7 or x = 7b)x = 11 or x = -11c)x = 11d)x = 11 or x = -7
  18. 18.
    |2 − (3)| = ?
  19. 19.
    Solve |x − 1| = 6
    a)x = 7 or x = -7b)x = -5 or x = 5c)x = 7d)x = 7 or x = -5
  20. 20.
    Solve |x − 6| = 9
    a)x = 15 or x = -3b)x = 15 or x = -15c)x = -3 or x = 3d)x = 15

Free maths worksheets and practice: rocketdigits.com/learn/absolute-value-equations

Answers: Absolute value equations

  1. 9
  2. d) x = 16 or x = -2
  3. 6
  4. 11
  5. a) x = 5 or x = -5
  6. d) x = 2 or x = -10
  7. 5
  8. a) x = 4 or x = -4
  9. 6
  10. b) x = 12 or x = -2
  11. 1
  12. d) x = -1 or x = -7
  13. 5
  14. 10
  15. 3
  16. d) x = 10 or x = -8
  17. d) x = 11 or x = -7
  18. 1
  19. d) x = 7 or x = -5
  20. a) x = 15 or x = -3

Free maths worksheets and practice: rocketdigits.com/learn/absolute-value-equations

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