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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 + 8x − 9 = 0

Answer: x = −9 or x = 1

  1. Factorise: (x + 9)(x − 1) = 0
  2. Null factor law: x + 9 = 0 or x − 1 = 0
  3. x = −9 or x = 1
2.Solve: x2 + 10x + 25 = 0

Answer: x = −5 or x = −5

  1. Factorise: (x + 5)(x + 5) = 0
  2. Null factor law: x + 5 = 0 or x + 5 = 0
  3. x = −5 or x = −5
3.Solve: x2 − 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
4.Solve: x2 + 10x + 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
5.Solve: x2 − 7x + 12 = 0

Answer: x = 3 or x = 4

  1. Factorise: (x − 3)(x − 4) = 0
  2. Null factor law: x − 3 = 0 or x − 4 = 0
  3. x = 3 or x = 4
6.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
7.Solve: x2 + 8x + 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 + 18x + 81 = 0

Answer: x = −9 or x = −9

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

Answer: x = 2 or x = 1

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