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Year 8 Factorising Expressions (Common Factors) Worksheet — Level 1 — Practice Set 3 — 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 — Practice Set 3 — Answers

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

1.Factorise fully: 24x + 18

Answer: 6(4x + 3)

  1. Highest common factor: 6
  2. 24x + 18 = 6(4x + 3)
  3. Check by expanding the brackets.
2.Factorise fully: 12x − 9

Answer: 3(4x − 3)

  1. Highest common factor: 3
  2. 12x − 9 = 3(4x − 3)
  3. Check by expanding the brackets.
3.Factorise fully: 9x + 12

Answer: 3(3x + 4)

  1. Highest common factor: 3
  2. 9x + 12 = 3(3x + 4)
  3. Check by expanding the brackets.
4.Factorise fully: 2x + 8

Answer: 2(x + 4)

  1. Highest common factor: 2
  2. 2x + 8 = 2(x + 4)
  3. Check by expanding the brackets.
5.Factorise fully: 3x − 21

Answer: 3(x − 7)

  1. Highest common factor: 3
  2. 3x − 21 = 3(x − 7)
  3. Check by expanding the brackets.
6.Factorise fully: 30x − 6

Answer: 6(5x − 1)

  1. Highest common factor: 6
  2. 30x − 6 = 6(5x − 1)
  3. Check by expanding the brackets.
7.Factorise fully: 12x + 32

Answer: 4(3x + 8)

  1. Highest common factor: 4
  2. 12x + 32 = 4(3x + 8)
  3. Check by expanding the brackets.
8.Factorise fully: 12x + 3

Answer: 3(4x + 1)

  1. Highest common factor: 3
  2. 12x + 3 = 3(4x + 1)
  3. Check by expanding the brackets.
9.Factorise fully: 35x + 49

Answer: 7(5x + 7)

  1. Highest common factor: 7
  2. 35x + 49 = 7(5x + 7)
  3. Check by expanding the brackets.
10.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.
11.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.
12.Factorise fully: 45x + 27

Answer: 9(5x + 3)

  1. Highest common factor: 9
  2. 45x + 27 = 9(5x + 3)
  3. Check by expanding the brackets.
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