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Count the solutions of an absolute value equation

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

Name

Date

Score/ 16

  1. Question 1

    How many solutions does |x + 1| = −6 have?

    Answer

  2. Question 2

    How many solutions does 3|x − 3| − 4 = 8 have?

    Answer

  3. Question 3

    How many solutions does |x − 6| = −7 have?

    Answer

  4. Question 4

    How many solutions does 4|x + 5| + 7 = 11 have?

    Answer

  5. Question 5

    How many solutions does |x + 8| = 0 have?

    Answer

  6. Question 6

    How many solutions does 4|x + 3| − 3 = −11 have?

    Answer

  7. Question 7

    How many solutions does |x − 9| = −1 have?

    Answer

  8. Question 8

    How many solutions does 4|x − 5| + 3 = 23 have?

    Answer

  9. Question 9

    How many solutions does |x + 1| = 0 have?

    Answer

  10. Question 10

    How many solutions does 3|x + 3| − 5 = 7 have?

    Answer

  11. Question 11

    How many solutions does |x − 7| = 2 have?

    Answer

  12. Question 12

    How many solutions does 3|x − 2| − 3 = 3 have?

    Answer

  13. Question 13

    How many solutions does |x − 2| = 0 have?

    Answer

  14. Question 14

    How many solutions does 3|x + 2| + 8 = 5 have?

    Answer

  15. Question 15

    How many solutions does |x − 8| = 6 have?

    Answer

  16. Question 16

    How many solutions does 2|x − 6| + 2 = 4 have?

    Answer

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Answer key: Count the solutions of an absolute value equation

  1. 1. 0

  2. 2. 2

  3. 3. 0

  4. 4. 2

  5. 5. 1

  6. 6. 0

  7. 7. 0

  8. 8. 2

  9. 9. 1

  10. 10. 2

  11. 11. 2

  12. 12. 2

  13. 13. 1

  14. 14. 0

  15. 15. 2

  16. 16. 2