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Year 9 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Quadratics

Year 9 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 3 — Answers

Factorise, then use the null factor law.

1.Solve: x2 + 4x − 45 = 0

Answer: x = 5 or x = −9

  1. Factorise: (x − 5)(x + 9) = 0
  2. Null factor law: x − 5 = 0 or x + 9 = 0
  3. x = 5 or x = −9
2.Solve: x2 + 2x − 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
3.Solve: x2 + 10x + 21 = 0

Answer: x = −3 or x = −7

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

Answer: x = −3 or x = −3

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

Answer: x = 4 or x = 2

  1. Factorise: (x − 4)(x − 2) = 0
  2. Null factor law: x − 4 = 0 or x − 2 = 0
  3. x = 4 or x = 2
7.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
8.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
9.Solve: x2 + 13x + 42 = 0

Answer: x = −7 or x = −6

  1. Factorise: (x + 7)(x + 6) = 0
  2. Null factor law: x + 7 = 0 or x + 6 = 0
  3. x = −7 or x = −6
10.Solve: x2 − 36 = 0

Answer: x = 6 or x = −6

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