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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 + 71) = x − 1. Check for extraneous solutions.

    x =

  2. Question 2

    Solve: √(x − 2) = 9

    x =

  3. Question 3

    Solve: √(x + 55) = x − 1. Check for extraneous solutions.

    x =

  4. Question 4

    Solve: √(x + 9) = 6

    x =

  5. Question 5

    Solve: √(x + 71) = x − 1. Check for extraneous solutions.

    x =

  6. Question 6

    Solve: √(x − 1) = 5

    x =

  7. Question 7

    Solve: √(x − 5) = x − 7. Check for extraneous solutions.

    x =

  8. Question 8

    Solve: √(x − 4) = 9

    x =

  9. Question 9

    Solve: √(x + 75) = x + 3. Check for extraneous solutions.

    x =

  10. Question 10

    Solve: √(x − 5) = 9

    x =

  11. Question 11

    Solve: √(x + 69) = x − 3. Check for extraneous solutions.

    x =

  12. Question 12

    Solve: √(x − 7) = 4

    x =

  13. Question 13

    Solve: √(x + 44) = x + 2. Check for extraneous solutions.

    x =

  14. Question 14

    Solve: √(x − 7) = 3

    x =

  15. Question 15

    Solve: √(x + 58) = x + 2. Check for extraneous solutions.

    x =

  16. Question 16

    Solve: √(x + 8) = 8

    x =

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Answer key: Radical equations

  1. 1. x = 10

  2. 2. x = 83

  3. 3. x = 9

  4. 4. x = 27

  5. 5. x = 10

  6. 6. x = 26

  7. 7. x = 9

  8. 8. x = 85

  9. 9. x = 6

  10. 10. x = 86

  11. 11. x = 12

  12. 12. x = 23

  13. 13. x = 5

  14. 14. x = 16

  15. 15. x = 6

  16. 16. x = 56