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

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

1.Factorise fully: 5x − 45

Answer: 5(x − 9)

  1. Highest common factor: 5
  2. 5x − 45 = 5(x − 9)
  3. Check by expanding the brackets.
2.Factorise fully: 42x + 49

Answer: 7(6x + 7)

  1. Highest common factor: 7
  2. 42x + 49 = 7(6x + 7)
  3. Check by expanding the brackets.
3.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.
4.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.
5.Factorise fully: 24x − 28

Answer: 4(6x − 7)

  1. Highest common factor: 4
  2. 24x − 28 = 4(6x − 7)
  3. Check by expanding the brackets.
6.Factorise fully: 12x − 9

Answer: 3(4x − 3)

  1. Highest common factor: 3
  2. 12x − 9 = 3(4x − 3)
  3. Check by expanding the brackets.
7.Factorise fully: 8x − 56

Answer: 8(x − 7)

  1. Highest common factor: 8
  2. 8x − 56 = 8(x − 7)
  3. Check by expanding the brackets.
8.Factorise fully: 18x + 48

Answer: 6(3x + 8)

  1. Highest common factor: 6
  2. 18x + 48 = 6(3x + 8)
  3. Check by expanding the brackets.
9.Factorise fully: 24x + 56

Answer: 8(3x + 7)

  1. Highest common factor: 8
  2. 24x + 56 = 8(3x + 7)
  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: 42x − 35

Answer: 7(6x − 5)

  1. Highest common factor: 7
  2. 42x − 35 = 7(6x − 5)
  3. Check by expanding the brackets.
12.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.
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