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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 x³ = 125.

    x =

  2. Question 2

    Solve 5x² = 180 for the positive value of x.

    Answer

  3. Question 3

    Solve x² = 225. Give both solutions, separated by a comma.

    x =

  4. Question 4

    Solve x³ = −216.

    x =

  5. Question 5

    Solve 5x² = 45 for the positive value of x.

    Answer

  6. Question 6

    Solve x² = 25. Give both solutions, separated by a comma.

    x =

  7. Question 7

    Solve x³ = 8.

    x =

  8. Question 8

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

    Answer

  9. Question 9

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

    x =

  10. Question 10

    Solve x³ = −8.

    x =

  11. Question 11

    Solve 5x² = 125 for the positive value of x.

    Answer

  12. Question 12

    Solve x² = 169. Give both solutions, separated by a comma.

    x =

  13. Question 13

    Solve x³ = 125.

    x =

  14. Question 14

    Solve 2x² = 162 for the positive value of x.

    Answer

  15. Question 15

    Solve x² = 225. Give both solutions, separated by a comma.

    x =

  16. Question 16

    Solve x³ = −216.

    x =

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  1. x = 5
  2. 6
  3. x = -15 or x = 15
  4. x = -6
  5. 3
  6. x = -5 or x = 5
  7. x = 2
  8. 5
  9. x = -7 or x = 7
  10. x = -2
  11. 5
  12. x = -13 or x = 13
  13. x = 5
  14. 9
  15. x = -15 or x = 15
  16. x = -6