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

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Quadratics

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

Factorise, then use the null factor law.

1.Solve: x2 − x − 2 = 0

Answer: x = −1 or x = 2

  1. Factorise: (x + 1)(x − 2) = 0
  2. Null factor law: x + 1 = 0 or x − 2 = 0
  3. x = −1 or x = 2
2.Solve: x2 + x − 72 = 0

Answer: x = −9 or x = 8

  1. Factorise: (x + 9)(x − 8) = 0
  2. Null factor law: x + 9 = 0 or x − 8 = 0
  3. x = −9 or x = 8
3.Solve: x2 + 2x − 63 = 0

Answer: x = 7 or x = −9

  1. Factorise: (x − 7)(x + 9) = 0
  2. Null factor law: x − 7 = 0 or x + 9 = 0
  3. x = 7 or x = −9
4.Solve: x2 − 2x − 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
5.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
6.Solve: x2 + x − 30 = 0

Answer: x = −6 or x = 5

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

Answer: x = −3 or x = 1

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

Answer: x = −6 or x = 3

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