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Year 9 Factorising Expressions (Common Factors) Worksheet — Level 1 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Algebraic Expressions

Year 9 Factorising Expressions (Common Factors) Worksheet — Level 1 — Practice Set 2 — Answers

Find the highest common factor of the terms and write it outside the brackets.

1.Factorise fully: 40x + 16

Answer: 8(5x + 2)

  1. Highest common factor: 8
  2. 40x + 16 = 8(5x + 2)
  3. Check by expanding the brackets.
2.Factorise fully: 18x − 24

Answer: 6(3x − 4)

  1. Highest common factor: 6
  2. 18x − 24 = 6(3x − 4)
  3. Check by expanding the brackets.
3.Factorise fully: 45x + 36

Answer: 9(5x + 4)

  1. Highest common factor: 9
  2. 45x + 36 = 9(5x + 4)
  3. Check by expanding the brackets.
4.Factorise fully: 2x + 16

Answer: 2(x + 8)

  1. Highest common factor: 2
  2. 2x + 16 = 2(x + 8)
  3. Check by expanding the brackets.
5.Factorise fully: 15x + 40

Answer: 5(3x + 8)

  1. Highest common factor: 5
  2. 15x + 40 = 5(3x + 8)
  3. Check by expanding the brackets.
6.Factorise fully: 32x + 40

Answer: 8(4x + 5)

  1. Highest common factor: 8
  2. 32x + 40 = 8(4x + 5)
  3. Check by expanding the brackets.
7.Factorise fully: 15x + 3

Answer: 3(5x + 1)

  1. Highest common factor: 3
  2. 15x + 3 = 3(5x + 1)
  3. Check by expanding the brackets.
8.Factorise fully: 14x + 49

Answer: 7(2x + 7)

  1. Highest common factor: 7
  2. 14x + 49 = 7(2x + 7)
  3. Check by expanding the brackets.
9.Factorise fully: 14x − 21

Answer: 7(2x − 3)

  1. Highest common factor: 7
  2. 14x − 21 = 7(2x − 3)
  3. Check by expanding the brackets.
10.Factorise fully: 42x − 49

Answer: 7(6x − 7)

  1. Highest common factor: 7
  2. 42x − 49 = 7(6x − 7)
  3. Check by expanding the brackets.
11.Factorise fully: 9x + 3

Answer: 3(3x + 1)

  1. Highest common factor: 3
  2. 9x + 3 = 3(3x + 1)
  3. Check by expanding the brackets.
12.Factorise fully: 32x − 24

Answer: 8(4x − 3)

  1. Highest common factor: 8
  2. 32x − 24 = 8(4x − 3)
  3. Check by expanding the brackets.
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