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Year 9 Factorising Expressions (Common Factors) Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers

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

1.Factorise fully: 24x − 18

Answer: 6(4x − 3)

  1. Highest common factor: 6
  2. 24x − 18 = 6(4x − 3)
  3. Check by expanding the brackets.
2.Factorise fully: 18x + 3

Answer: 3(6x + 1)

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

Answer: 6(5x − 3)

  1. Highest common factor: 6
  2. 30x − 18 = 6(5x − 3)
  3. Check by expanding the brackets.
5.Factorise fully: 6x + 48

Answer: 6(x + 8)

  1. Highest common factor: 6
  2. 6x + 48 = 6(x + 8)
  3. Check by expanding the brackets.
6.Factorise fully: 6x + 15

Answer: 3(2x + 5)

  1. Highest common factor: 3
  2. 6x + 15 = 3(2x + 5)
  3. Check by expanding the brackets.
7.Factorise fully: 32x + 56

Answer: 8(4x + 7)

  1. Highest common factor: 8
  2. 32x + 56 = 8(4x + 7)
  3. Check by expanding the brackets.
8.Factorise fully: 18x + 42

Answer: 6(3x + 7)

  1. Highest common factor: 6
  2. 18x + 42 = 6(3x + 7)
  3. Check by expanding the brackets.
9.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.
10.Factorise fully: 12x + 14

Answer: 2(6x + 7)

  1. Highest common factor: 2
  2. 12x + 14 = 2(6x + 7)
  3. Check by expanding the brackets.
11.Factorise fully: 30x − 48

Answer: 6(5x − 8)

  1. Highest common factor: 6
  2. 30x − 48 = 6(5x − 8)
  3. Check by expanding the brackets.
12.Factorise fully: 45x + 9

Answer: 9(5x + 1)

  1. Highest common factor: 9
  2. 45x + 9 = 9(5x + 1)
  3. Check by expanding the brackets.
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