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Year 9 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Quadratics

Year 9 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

Factorise, then use the null factor law.

1.Solve: x2 − 10x + 24 = 0

Answer: x = 6 or x = 4

  1. Factorise: (x − 6)(x − 4) = 0
  2. Null factor law: x − 6 = 0 or x − 4 = 0
  3. x = 6 or x = 4
2.Solve: x2 − 4x − 5 = 0

Answer: x = 5 or x = −1

  1. Factorise: (x − 5)(x + 1) = 0
  2. Null factor law: x − 5 = 0 or x + 1 = 0
  3. x = 5 or x = −1
3.Solve: x2 − x − 56 = 0

Answer: x = 8 or x = −7

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

Answer: x = −4 or x = −1

  1. Factorise: (x + 4)(x + 1) = 0
  2. Null factor law: x + 4 = 0 or x + 1 = 0
  3. x = −4 or x = −1
5.Solve: x2 + 4x − 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
6.Solve: x2 + 11x + 30 = 0

Answer: x = −5 or x = −6

  1. Factorise: (x + 5)(x + 6) = 0
  2. Null factor law: x + 5 = 0 or x + 6 = 0
  3. x = −5 or x = −6
7.Solve: x2 − 3x − 28 = 0

Answer: x = 7 or x = −4

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

Answer: x = −1 or x = −3

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

Answer: x = 8 or x = −2

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

Answer: x = −4 or x = −4

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