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Solve factorised equations with the zero product property

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.REI.B.4.B, HSA.SSE.B.3.A · England: GCSE Foundation Algebra

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  1. Question 1

    Solve: x(x + 4)(x − 2) = 0. Give all three solutions, separated by commas.

    x =

  2. Question 2

    Solve: (2x − 1)(x − 4) = 0. Give both solutions (fractions are fine), separated by a comma.

    x =

  3. Question 3

    Solve: (x + 3)(x + 2) = 0. Give both solutions, separated by a comma.

    x =

  4. Question 4

    Solve: x(x − 7)(x + 1) = 0. Give all three solutions, separated by commas.

    x =

  5. Question 5

    Solve: (4x − 1)(x + 1) = 0. Give both solutions (fractions are fine), separated by a comma.

    x =

  6. Question 6

    Solve: (x − 4)(x + 9) = 0. Give both solutions, separated by a comma.

    x =

  7. Question 7

    Solve: x(x − 4)(x + 2) = 0. Give all three solutions, separated by commas.

    x =

  8. Question 8

    Solve: (3x + 1)(x − 6) = 0. Give both solutions (fractions are fine), separated by a comma.

    x =

  9. Question 9

    Solve: (x − 8)(x − 7) = 0. Give both solutions, separated by a comma.

    x =

  10. Question 10

    Solve: x(x + 1)(x − 8) = 0. Give all three solutions, separated by commas.

    x =

  11. Question 11

    Solve: (2x + 1)(x + 6) = 0. Give both solutions (fractions are fine), separated by a comma.

    x =

  12. Question 12

    Solve: (x − 8)(x − 7) = 0. Give both solutions, separated by a comma.

    x =

  13. Question 13

    Solve: x(x + 8)(x − 4) = 0. Give all three solutions, separated by commas.

    x =

  14. Question 14

    Solve: (4x − 1)(x + 8) = 0. Give both solutions (fractions are fine), separated by a comma.

    x =

  15. Question 15

    Solve: (x − 6)(x + 9) = 0. Give both solutions, separated by a comma.

    x =

  16. Question 16

    Solve: x(x + 5)(x − 7) = 0. Give all three solutions, separated by commas.

    x =

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Answer key: Solve factorised equations with the zero product property

  1. 1. x = -4 or x = 0 or x = 2

  2. 2. x = 0.5 or x = 4

  3. 3. x = -3 or x = -2

  4. 4. x = -1 or x = 0 or x = 7

  5. 5. x = -1 or x = 0.25

  6. 6. x = -9 or x = 4

  7. 7. x = -2 or x = 0 or x = 4

  8. 8. x = -0.333333333333 or x = 6

  9. 9. x = 7 or x = 8

  10. 10. x = -1 or x = 0 or x = 8

  11. 11. x = -6 or x = -0.5

  12. 12. x = 7 or x = 8

  13. 13. x = -8 or x = 0 or x = 4

  14. 14. x = -8 or x = 0.25

  15. 15. x = -9 or x = 6

  16. 16. x = -5 or x = 0 or x = 7