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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 + 15 = 0

Answer: x = −3 or x = −5

  1. Factorise: (x + 3)(x + 5) = 0
  2. Null factor law: x + 3 = 0 or x + 5 = 0
  3. x = −3 or x = −5
2.Solve: x2 − 9x + 18 = 0

Answer: x = 3 or x = 6

  1. Factorise: (x − 3)(x − 6) = 0
  2. Null factor law: x − 3 = 0 or x − 6 = 0
  3. x = 3 or x = 6
3.Solve: x2 − x − 72 = 0

Answer: x = −8 or x = 9

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

Answer: x = −7 or x = 1

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

Answer: x = 5 or x = 2

  1. Factorise: (x − 5)(x − 2) = 0
  2. Null factor law: x − 5 = 0 or x − 2 = 0
  3. x = 5 or x = 2
6.Solve: x2 + 9x + 14 = 0

Answer: x = −7 or x = −2

  1. Factorise: (x + 7)(x + 2) = 0
  2. Null factor law: x + 7 = 0 or x + 2 = 0
  3. x = −7 or x = −2
7.Solve: x2 + 15x + 54 = 0

Answer: x = −9 or x = −6

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

Answer: x = −8 or x = 1

  1. Factorise: (x + 8)(x − 1) = 0
  2. Null factor law: x + 8 = 0 or x − 1 = 0
  3. x = −8 or x = 1
9.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
10.Solve: x2 + 11x + 28 = 0

Answer: x = −4 or x = −7

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