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Radical equations

11th grade (Year 12 in England) · 16 questions · Common Core: HSA.REI.A.2

Name

Date

Score/ 16

  1. Question 1

    Solve: √(x − 8) = 9

    x =

  2. Question 2

    Solve: √(x + 24) = x − 6. Check for extraneous solutions.

    x =

  3. Question 3

    Solve: √(x − 2) = 9

    x =

  4. Question 4

    Solve: √(x + 13) = x − 7. Check for extraneous solutions.

    x =

  5. Question 5

    Solve: √(x − 6) = 7

    x =

  6. Question 6

    Solve: √(x + 158) = x + 2. Check for extraneous solutions.

    x =

  7. Question 7

    Solve: √(x + 3) = 6

    x =

  8. Question 8

    Solve: √(x + 26) = x − 4. Check for extraneous solutions.

    x =

  9. Question 9

    Solve: √(x + 7) = 6

    x =

  10. Question 10

    Solve: √(x + 56) = x. Check for extraneous solutions.

    x =

  11. Question 11

    Solve: √(x − 3) = 7

    x =

  12. Question 12

    Solve: √(x − 1) = x − 3. Check for extraneous solutions.

    x =

  13. Question 13

    Solve: √(x + 3) = 7

    x =

  14. Question 14

    Solve: √(x + 9) = x − 3. Check for extraneous solutions.

    x =

  15. Question 15

    Solve: √(x − 1) = 2

    x =

  16. Question 16

    Solve: √(x + 38) = x − 4. Check for extraneous solutions.

    x =

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All done? Check your answers
  1. x = 89
  2. x = 12
  3. x = 83
  4. x = 12
  5. x = 55
  6. x = 11
  7. x = 33
  8. x = 10
  9. x = 29
  10. x = 8
  11. x = 52
  12. x = 5
  13. x = 46
  14. x = 7
  15. x = 5
  16. x = 11