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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 + 6)(x − 5) = 0. Give both solutions, separated by a comma.

    x =

  2. Question 2

    Solve: (4x − 3)(x − 3) = 0. Give both solutions (fractions are fine), separated by a comma.

    x =

  3. Question 3

    Solve: x(x − 1)(x + 2) = 0. Give all three solutions, separated by commas.

    x =

  4. Question 4

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

    x =

  5. Question 5

    Solve: (5x − 3)(x − 2) = 0. Give both solutions (fractions are fine), separated by a comma.

    x =

  6. Question 6

    Solve: x(x + 1)(x − 6) = 0. Give all three solutions, separated by commas.

    x =

  7. Question 7

    Solve: (x + 6)(x − 4) = 0. Give both solutions, separated by a comma.

    x =

  8. Question 8

    Solve: (5x − 6)(x − 1) = 0. Give both solutions (fractions are fine), separated by a comma.

    x =

  9. Question 9

    Solve: x(x + 8)(x − 6) = 0. Give all three solutions, separated by commas.

    x =

  10. Question 10

    Solve: (x + 4)(x − 3) = 0. Give both solutions, separated by a comma.

    x =

  11. Question 11

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

    x =

  12. Question 12

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

    x =

  13. Question 13

    Solve: (x − 7)(x + 4) = 0. Give both solutions, separated by a comma.

    x =

  14. Question 14

    Solve: (2x − 3)(x − 1) = 0. Give both solutions (fractions are fine), separated by a comma.

    x =

  15. Question 15

    Solve: x(x + 3)(x − 2) = 0. Give all three solutions, separated by commas.

    x =

  16. Question 16

    Solve: (x − 3)(x − 1) = 0. Give both solutions, separated by a comma.

    x =

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  1. x = -6 or x = 5
  2. x = 0.75 or x = 3
  3. x = -2 or x = 0 or x = 1
  4. x = 2 or x = 4
  5. x = 0.6 or x = 2
  6. x = -1 or x = 0 or x = 6
  7. x = -6 or x = 4
  8. x = 1 or x = 1.2
  9. x = -8 or x = 0 or x = 6
  10. x = -4 or x = 3
  11. x = -4 or x = 0.5
  12. x = -8 or x = 0 or x = 1
  13. x = -4 or x = 7
  14. x = 1 or x = 1.5
  15. x = -3 or x = 0 or x = 2
  16. x = 1 or x = 3