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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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  1. Question 1

    Solve: |x − 1| = 9. Give both solutions, separated by a comma.

    x =

  2. Question 2

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

    x =

  3. Question 3

    Solve: 3|x + 3| − 8 = 16. Give both solutions, separated by a comma.

    x =

  4. Question 4

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

    x =

  5. Question 5

    Solve: |2x − 6| = 4. Give both solutions, separated by a comma.

    x =

  6. Question 6

    Solve: 3|x + 7| − 8 = 4. Give both solutions, separated by a comma.

    x =

  7. Question 7

    Solve: |x + 4| = 11. Give both solutions, separated by a comma.

    x =

  8. Question 8

    Solve: |3x + 21| = 12. Give both solutions, separated by a comma.

    x =

  9. Question 9

    Solve: 3|x + 5| − 1 = 20. Give both solutions, separated by a comma.

    x =

  10. Question 10

    Solve: |x − 4| = 7. Give both solutions, separated by a comma.

    x =

  11. Question 11

    Solve: |4x + 14| = 2. Give both solutions, separated by a comma.

    x =

  12. Question 12

    Solve: 4|x + 5| + 5 = 17. Give both solutions, separated by a comma.

    x =

  13. Question 13

    Solve: |x + 5| = 9. Give both solutions, separated by a comma.

    x =

  14. Question 14

    Solve: |3x + 12| = 12. Give both solutions, separated by a comma.

    x =

  15. Question 15

    Solve: 3|x + 1| + 7 = 28. Give both solutions, separated by a comma.

    x =

  16. Question 16

    Solve: |x + 1| = 7. Give both solutions, separated by a comma.

    x =

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Answer key: Solve absolute value equations |ax + b| = c

  1. 1. x = -8 or x = 10

  2. 2. x = -1 or x = 5

  3. 3. x = -11 or x = 5

  4. 4. x = 4 or x = 10

  5. 5. x = 1 or x = 5

  6. 6. x = -11 or x = -3

  7. 7. x = -15 or x = 7

  8. 8. x = -11 or x = -3

  9. 9. x = -12 or x = 2

  10. 10. x = -3 or x = 11

  11. 11. x = -4 or x = -3

  12. 12. x = -8 or x = -2

  13. 13. x = -14 or x = 4

  14. 14. x = -8 or x = 0

  15. 15. x = -8 or x = 6

  16. 16. x = -8 or x = 6