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Solve absolute value equations |ax + b| = c

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.CED.A.1, HSA.REI.B.3

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Date

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  1. Question 1

    Solve: |2x + 9| = 3. Give both solutions, separated by a comma.

    x =

  2. Question 2

    Solve: |x + 4| = 9. Give both solutions, separated by a comma.

    x =

  3. Question 3

    Solve: 2|x − 3| + 7 = 13. Give both solutions, separated by a comma.

    x =

  4. Question 4

    Solve: |5x + 10| = 15. Give both solutions, separated by a comma.

    x =

  5. Question 5

    Solve: |x − 6| = 11. Give both solutions, separated by a comma.

    x =

  6. Question 6

    Solve: 4|x + 5| + 3 = 35. Give both solutions, separated by a comma.

    x =

  7. Question 7

    Solve: |3x − 3| = 15. Give both solutions, separated by a comma.

    x =

  8. Question 8

    Solve: |x − 3| = 5. Give both solutions, separated by a comma.

    x =

  9. Question 9

    Solve: 5|x + 7| − 6 = 34. Give both solutions, separated by a comma.

    x =

  10. Question 10

    Solve: |4x − 18| = 6. Give both solutions, separated by a comma.

    x =

  11. Question 11

    Solve: |x + 8| = 8. Give both solutions, separated by a comma.

    x =

  12. Question 12

    Solve: 5|x − 5| + 4 = 44. Give both solutions, separated by a comma.

    x =

  13. Question 13

    Solve: |5x + 20| = 5. Give both solutions, separated by a comma.

    x =

  14. Question 14

    Solve: |x − 8| = 1. Give both solutions, separated by a comma.

    x =

  15. Question 15

    Solve: 5|x + 4| + 6 = 36. Give both solutions, separated by a comma.

    x =

  16. Question 16

    Solve: |5x − 10| = 5. Give both solutions, separated by a comma.

    x =

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  1. x = -6 or x = -3
  2. x = -13 or x = 5
  3. x = 0 or x = 6
  4. x = -5 or x = 1
  5. x = -5 or x = 17
  6. x = -13 or x = 3
  7. x = -4 or x = 6
  8. x = -2 or x = 8
  9. x = -15 or x = 1
  10. x = 3 or x = 6
  11. x = -16 or x = 0
  12. x = -3 or x = 13
  13. x = -5 or x = -3
  14. x = 7 or x = 9
  15. x = -10 or x = 2
  16. x = 1 or x = 3