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Year 8 Factorising Expressions (Common Factors) Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers

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

1.Factorise fully: 8x + 64

Answer: 8(x + 8)

  1. Highest common factor: 8
  2. 8x + 64 = 8(x + 8)
  3. Check by expanding the brackets.
2.Factorise fully: 18x + 63

Answer: 9(2x + 7)

  1. Highest common factor: 9
  2. 18x + 63 = 9(2x + 7)
  3. Check by expanding the brackets.
3.Factorise fully: 24x − 20

Answer: 4(6x − 5)

  1. Highest common factor: 4
  2. 24x − 20 = 4(6x − 5)
  3. Check by expanding the brackets.
4.Factorise fully: 12x + 4

Answer: 4(3x + 1)

  1. Highest common factor: 4
  2. 12x + 4 = 4(3x + 1)
  3. Check by expanding the brackets.
5.Factorise fully: 16x − 12

Answer: 4(4x − 3)

  1. Highest common factor: 4
  2. 16x − 12 = 4(4x − 3)
  3. Check by expanding the brackets.
6.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.
7.Factorise fully: 5x − 5

Answer: 5(x − 1)

  1. Highest common factor: 5
  2. 5x − 5 = 5(x − 1)
  3. Check by expanding the brackets.
8.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.
9.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.
10.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.
11.Factorise fully: 54x − 63

Answer: 9(6x − 7)

  1. Highest common factor: 9
  2. 54x − 63 = 9(6x − 7)
  3. Check by expanding the brackets.
12.Factorise fully: 15x − 35

Answer: 5(3x − 7)

  1. Highest common factor: 5
  2. 15x − 35 = 5(3x − 7)
  3. Check by expanding the brackets.
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