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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: 24x + 6

Answer: 6(4x + 1)

  1. Highest common factor: 6
  2. 24x + 6 = 6(4x + 1)
  3. Check by expanding the brackets.
2.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.
3.Factorise fully: 8x + 20

Answer: 4(2x + 5)

  1. Highest common factor: 4
  2. 8x + 20 = 4(2x + 5)
  3. Check by expanding the brackets.
4.Factorise fully: 25x − 35

Answer: 5(5x − 7)

  1. Highest common factor: 5
  2. 25x − 35 = 5(5x − 7)
  3. Check by expanding the brackets.
5.Factorise fully: 6x − 8

Answer: 2(3x − 4)

  1. Highest common factor: 2
  2. 6x − 8 = 2(3x − 4)
  3. Check by expanding the brackets.
6.Factorise fully: 7x − 35

Answer: 7(x − 5)

  1. Highest common factor: 7
  2. 7x − 35 = 7(x − 5)
  3. Check by expanding the brackets.
7.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.
8.Factorise fully: 40x + 32

Answer: 8(5x + 4)

  1. Highest common factor: 8
  2. 40x + 32 = 8(5x + 4)
  3. Check by expanding the brackets.
9.Factorise fully: 15x − 18

Answer: 3(5x − 6)

  1. Highest common factor: 3
  2. 15x − 18 = 3(5x − 6)
  3. Check by expanding the brackets.
10.Factorise fully: 10x + 6

Answer: 2(5x + 3)

  1. Highest common factor: 2
  2. 10x + 6 = 2(5x + 3)
  3. Check by expanding the brackets.
11.Factorise fully: 6x − 54

Answer: 6(x − 9)

  1. Highest common factor: 6
  2. 6x − 54 = 6(x − 9)
  3. Check by expanding the brackets.
12.Factorise fully: 25x − 15

Answer: 5(5x − 3)

  1. Highest common factor: 5
  2. 25x − 15 = 5(5x − 3)
  3. Check by expanding the brackets.
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