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Year 9 Factorising and Solving Quadratics Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 9 quadratics worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Quadratics

Year 9 Factorising and Solving Quadratics Worksheet — Level 2 — Answers

Factorise, then use the null factor law.

1.Solve: x2 − 8x + 12 = 0

Answer: x = 2 or x = 6

  1. Factorise: (x − 2)(x − 6) = 0
  2. Null factor law: x − 2 = 0 or x − 6 = 0
  3. x = 2 or x = 6
2.Solve: x2 − 7x + 12 = 0

Answer: x = 4 or x = 3

  1. Factorise: (x − 4)(x − 3) = 0
  2. Null factor law: x − 4 = 0 or x − 3 = 0
  3. x = 4 or x = 3
3.Solve: x2 + 15x + 56 = 0

Answer: x = −7 or x = −8

  1. Factorise: (x + 7)(x + 8) = 0
  2. Null factor law: x + 7 = 0 or x + 8 = 0
  3. x = −7 or x = −8
4.Solve: x2 − 5x − 24 = 0

Answer: x = −3 or x = 8

  1. Factorise: (x + 3)(x − 8) = 0
  2. Null factor law: x + 3 = 0 or x − 8 = 0
  3. x = −3 or x = 8
5.Solve: x2 − 9x + 8 = 0

Answer: x = 1 or x = 8

  1. Factorise: (x − 1)(x − 8) = 0
  2. Null factor law: x − 1 = 0 or x − 8 = 0
  3. x = 1 or x = 8
6.Solve: x2 − 16x + 63 = 0

Answer: x = 9 or x = 7

  1. Factorise: (x − 9)(x − 7) = 0
  2. Null factor law: x − 9 = 0 or x − 7 = 0
  3. x = 9 or x = 7
7.Solve: x2 − 6x + 8 = 0

Answer: x = 2 or x = 4

  1. Factorise: (x − 2)(x − 4) = 0
  2. Null factor law: x − 2 = 0 or x − 4 = 0
  3. x = 2 or x = 4
8.Solve: x2 − 2x − 24 = 0

Answer: x = −4 or x = 6

  1. Factorise: (x + 4)(x − 6) = 0
  2. Null factor law: x + 4 = 0 or x − 6 = 0
  3. x = −4 or x = 6
9.Solve: x2 − 7x − 18 = 0

Answer: x = 9 or x = −2

  1. Factorise: (x − 9)(x + 2) = 0
  2. Null factor law: x − 9 = 0 or x + 2 = 0
  3. x = 9 or x = −2
10.Solve: x2 − 2x − 15 = 0

Answer: x = 5 or x = −3

  1. Factorise: (x − 5)(x + 3) = 0
  2. Null factor law: x − 5 = 0 or x + 3 = 0
  3. x = 5 or x = −3
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