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Year 8 Factorising Expressions (Common Factors) Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers

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

1.Factorise fully: 24x + 32

Answer: 8(3x + 4)

  1. Highest common factor: 8
  2. 24x + 32 = 8(3x + 4)
  3. Check by expanding the brackets.
2.Factorise fully: 8x − 36

Answer: 4(2x − 9)

  1. Highest common factor: 4
  2. 8x − 36 = 4(2x − 9)
  3. Check by expanding the brackets.
3.Factorise fully: 25x − 30

Answer: 5(5x − 6)

  1. Highest common factor: 5
  2. 25x − 30 = 5(5x − 6)
  3. Check by expanding the brackets.
4.Factorise fully: 18x − 12

Answer: 6(3x − 2)

  1. Highest common factor: 6
  2. 18x − 12 = 6(3x − 2)
  3. Check by expanding the brackets.
5.Factorise fully: 18x + 48

Answer: 6(3x + 8)

  1. Highest common factor: 6
  2. 18x + 48 = 6(3x + 8)
  3. Check by expanding the brackets.
6.Factorise fully: 36x − 63

Answer: 9(4x − 7)

  1. Highest common factor: 9
  2. 36x − 63 = 9(4x − 7)
  3. Check by expanding the brackets.
7.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.
8.Factorise fully: 6x − 12

Answer: 6(x − 2)

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

Answer: 3(x + 8)

  1. Highest common factor: 3
  2. 3x + 24 = 3(x + 8)
  3. Check by expanding the brackets.
10.Factorise fully: 20x − 25

Answer: 5(4x − 5)

  1. Highest common factor: 5
  2. 20x − 25 = 5(4x − 5)
  3. Check by expanding the brackets.
11.Factorise fully: 28x − 63

Answer: 7(4x − 9)

  1. Highest common factor: 7
  2. 28x − 63 = 7(4x − 9)
  3. Check by expanding the brackets.
12.Factorise fully: 35x − 21

Answer: 7(5x − 3)

  1. Highest common factor: 7
  2. 35x − 21 = 7(5x − 3)
  3. Check by expanding the brackets.
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