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Year 8 Factorising Expressions (Common Factors) Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Algebraic Expressions

Year 8 Factorising Expressions (Common Factors) Worksheet — Level 1 — Answers

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

1.Factorise fully: 36x − 9

Answer: 9(4x − 1)

  1. Highest common factor: 9
  2. 36x − 9 = 9(4x − 1)
  3. Check by expanding the brackets.
2.Factorise fully: 6x − 42

Answer: 6(x − 7)

  1. Highest common factor: 6
  2. 6x − 42 = 6(x − 7)
  3. Check by expanding the brackets.
3.Factorise fully: 16x + 40

Answer: 8(2x + 5)

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

Answer: 8(x + 5)

  1. Highest common factor: 8
  2. 8x + 40 = 8(x + 5)
  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 − 72

Answer: 8(4x − 9)

  1. Highest common factor: 8
  2. 32x − 72 = 8(4x − 9)
  3. Check by expanding the brackets.
7.Factorise fully: 16x − 24

Answer: 8(2x − 3)

  1. Highest common factor: 8
  2. 16x − 24 = 8(2x − 3)
  3. Check by expanding the brackets.
8.Factorise fully: 30x − 36

Answer: 6(5x − 6)

  1. Highest common factor: 6
  2. 30x − 36 = 6(5x − 6)
  3. Check by expanding the brackets.
9.Factorise fully: 20x − 32

Answer: 4(5x − 8)

  1. Highest common factor: 4
  2. 20x − 32 = 4(5x − 8)
  3. Check by expanding the brackets.
10.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.
11.Factorise fully: 24x − 30

Answer: 6(4x − 5)

  1. Highest common factor: 6
  2. 24x − 30 = 6(4x − 5)
  3. Check by expanding the brackets.
12.Factorise fully: 36x + 81

Answer: 9(4x + 9)

  1. Highest common factor: 9
  2. 36x + 81 = 9(4x + 9)
  3. Check by expanding the brackets.
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