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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: 9x − 9

Answer: 9(x − 1)

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

Answer: 3(x + 9)

  1. Highest common factor: 3
  2. 3x + 27 = 3(x + 9)
  3. Check by expanding the brackets.
3.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.
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: 24x + 54

Answer: 6(4x + 9)

  1. Highest common factor: 6
  2. 24x + 54 = 6(4x + 9)
  3. Check by expanding the brackets.
6.Factorise fully: 40x − 16

Answer: 8(5x − 2)

  1. Highest common factor: 8
  2. 40x − 16 = 8(5x − 2)
  3. Check by expanding the brackets.
7.Factorise fully: 12x − 18

Answer: 6(2x − 3)

  1. Highest common factor: 6
  2. 12x − 18 = 6(2x − 3)
  3. Check by expanding the brackets.
8.Factorise fully: 24x − 40

Answer: 8(3x − 5)

  1. Highest common factor: 8
  2. 24x − 40 = 8(3x − 5)
  3. Check by expanding the brackets.
9.Factorise fully: 20x − 8

Answer: 4(5x − 2)

  1. Highest common factor: 4
  2. 20x − 8 = 4(5x − 2)
  3. Check by expanding the brackets.
10.Factorise fully: 21x + 35

Answer: 7(3x + 5)

  1. Highest common factor: 7
  2. 21x + 35 = 7(3x + 5)
  3. Check by expanding the brackets.
11.Factorise fully: 12x − 16

Answer: 4(3x − 4)

  1. Highest common factor: 4
  2. 12x − 16 = 4(3x − 4)
  3. Check by expanding the brackets.
12.Factorise fully: 2x + 18

Answer: 2(x + 9)

  1. Highest common factor: 2
  2. 2x + 18 = 2(x + 9)
  3. Check by expanding the brackets.
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