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Year 9 Factorising Expressions (Common Factors) Worksheet — Level 1 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Algebraic Expressions

Year 9 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: 6x − 4

Answer: 2(3x − 2)

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

Answer: 4(x − 3)

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

Answer: 4(2x − 1)

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

Answer: 6(x + 4)

  1. Highest common factor: 6
  2. 6x + 24 = 6(x + 4)
  3. Check by expanding the brackets.
5.Factorise fully: 7x − 7

Answer: 7(x − 1)

  1. Highest common factor: 7
  2. 7x − 7 = 7(x − 1)
  3. Check by expanding the brackets.
6.Factorise fully: 35x − 42

Answer: 7(5x − 6)

  1. Highest common factor: 7
  2. 35x − 42 = 7(5x − 6)
  3. Check by expanding the brackets.
7.Factorise fully: 32x + 24

Answer: 8(4x + 3)

  1. Highest common factor: 8
  2. 32x + 24 = 8(4x + 3)
  3. Check by expanding the brackets.
8.Factorise fully: 3x − 6

Answer: 3(x − 2)

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

Answer: 5(x + 7)

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

Answer: 5(x − 5)

  1. Highest common factor: 5
  2. 5x − 25 = 5(x − 5)
  3. Check by expanding the brackets.
11.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.
12.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.
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