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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: 54x + 63

Answer: 9(6x + 7)

  1. Highest common factor: 9
  2. 54x + 63 = 9(6x + 7)
  3. Check by expanding the brackets.
2.Factorise fully: 4x − 4

Answer: 4(x − 1)

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

Answer: 4(x + 1)

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

Answer: 2(4x + 9)

  1. Highest common factor: 2
  2. 8x + 18 = 2(4x + 9)
  3. Check by expanding the brackets.
5.Factorise fully: 10x − 5

Answer: 5(2x − 1)

  1. Highest common factor: 5
  2. 10x − 5 = 5(2x − 1)
  3. Check by expanding the brackets.
6.Factorise fully: 54x − 45

Answer: 9(6x − 5)

  1. Highest common factor: 9
  2. 54x − 45 = 9(6x − 5)
  3. Check by expanding the brackets.
7.Factorise fully: 28x − 35

Answer: 7(4x − 5)

  1. Highest common factor: 7
  2. 28x − 35 = 7(4x − 5)
  3. Check by expanding the brackets.
8.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.
9.Factorise fully: 3x − 21

Answer: 3(x − 7)

  1. Highest common factor: 3
  2. 3x − 21 = 3(x − 7)
  3. Check by expanding the brackets.
10.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.
11.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.
12.Factorise fully: 6x + 36

Answer: 6(x + 6)

  1. Highest common factor: 6
  2. 6x + 36 = 6(x + 6)
  3. Check by expanding the brackets.
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