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Solve x² = p and x³ = p

8th grade (Year 9 in England) · 16 questions · Common Core: 8.EE.A.2 · England: KS3 Algebra, GCSE Foundation Algebra

Name

Date

Score/ 16

  1. Question 1

    Solve x² = 4. Give both solutions, separated by a comma.

    x =

  2. Question 2

    Solve x³ = −27.

    x =

  3. Question 3

    Solve 4x² = 144 for the positive value of x.

    Answer

  4. Question 4

    Solve x² = 49. Give both solutions, separated by a comma.

    x =

  5. Question 5

    Solve x³ = 1.

    x =

  6. Question 6

    Solve 2x² = 8 for the positive value of x.

    Answer

  7. Question 7

    Solve x² = 196. Give both solutions, separated by a comma.

    x =

  8. Question 8

    Solve x³ = −64.

    x =

  9. Question 9

    Solve 2x² = 32 for the positive value of x.

    Answer

  10. Question 10

    Solve x² = 9. Give both solutions, separated by a comma.

    x =

  11. Question 11

    Solve x³ = −27.

    x =

  12. Question 12

    Solve 4x² = 100 for the positive value of x.

    Answer

  13. Question 13

    Solve x² = 121. Give both solutions, separated by a comma.

    x =

  14. Question 14

    Solve x³ = 8.

    x =

  15. Question 15

    Solve 4x² = 324 for the positive value of x.

    Answer

  16. Question 16

    Solve x² = 36. Give both solutions, separated by a comma.

    x =

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Answer key: Solve x² = p and x³ = p

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

  2. 2. x = -3

  3. 3. 6

  4. 4. x = -7 or x = 7

  5. 5. x = 1

  6. 6. 2

  7. 7. x = -14 or x = 14

  8. 8. x = -4

  9. 9. 4

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

  11. 11. x = -3

  12. 12. 5

  13. 13. x = -11 or x = 11

  14. 14. x = 2

  15. 15. 9

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