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Year 9 Factorising Expressions (Common Factors) Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers

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

1.Factorise fully: 9x + 63

Answer: 9(x + 7)

  1. Highest common factor: 9
  2. 9x + 63 = 9(x + 7)
  3. Check by expanding the brackets.
2.Factorise fully: 10x − 2

Answer: 2(5x − 1)

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

Answer: 2(3x − 5)

  1. Highest common factor: 2
  2. 6x − 10 = 2(3x − 5)
  3. Check by expanding the brackets.
4.Factorise fully: 35x + 63

Answer: 7(5x + 9)

  1. Highest common factor: 7
  2. 35x + 63 = 7(5x + 9)
  3. Check by expanding the brackets.
5.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.
6.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.
7.Factorise fully: 35x + 28

Answer: 7(5x + 4)

  1. Highest common factor: 7
  2. 35x + 28 = 7(5x + 4)
  3. Check by expanding the brackets.
8.Factorise fully: 45x − 36

Answer: 9(5x − 4)

  1. Highest common factor: 9
  2. 45x − 36 = 9(5x − 4)
  3. Check by expanding the brackets.
9.Factorise fully: 40x − 8

Answer: 8(5x − 1)

  1. Highest common factor: 8
  2. 40x − 8 = 8(5x − 1)
  3. Check by expanding the brackets.
10.Factorise fully: 8x − 28

Answer: 4(2x − 7)

  1. Highest common factor: 4
  2. 8x − 28 = 4(2x − 7)
  3. Check by expanding the brackets.
11.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.
12.Factorise fully: 3x + 3

Answer: 3(x + 1)

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