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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: 18x + 15

Answer: 3(6x + 5)

  1. Highest common factor: 3
  2. 18x + 15 = 3(6x + 5)
  3. Check by expanding the brackets.
2.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.
3.Factorise fully: 10x − 14

Answer: 2(5x − 7)

  1. Highest common factor: 2
  2. 10x − 14 = 2(5x − 7)
  3. Check by expanding the brackets.
4.Factorise fully: 24x − 16

Answer: 8(3x − 2)

  1. Highest common factor: 8
  2. 24x − 16 = 8(3x − 2)
  3. Check by expanding the brackets.
5.Factorise fully: 16x − 12

Answer: 4(4x − 3)

  1. Highest common factor: 4
  2. 16x − 12 = 4(4x − 3)
  3. Check by expanding the brackets.
6.Factorise fully: 15x + 27

Answer: 3(5x + 9)

  1. Highest common factor: 3
  2. 15x + 27 = 3(5x + 9)
  3. Check by expanding the brackets.
7.Factorise fully: 21x − 28

Answer: 7(3x − 4)

  1. Highest common factor: 7
  2. 21x − 28 = 7(3x − 4)
  3. Check by expanding the brackets.
8.Factorise fully: 12x + 8

Answer: 4(3x + 2)

  1. Highest common factor: 4
  2. 12x + 8 = 4(3x + 2)
  3. Check by expanding the brackets.
9.Factorise fully: 12x + 20

Answer: 4(3x + 5)

  1. Highest common factor: 4
  2. 12x + 20 = 4(3x + 5)
  3. Check by expanding the brackets.
10.Factorise fully: 6x + 9

Answer: 3(2x + 3)

  1. Highest common factor: 3
  2. 6x + 9 = 3(2x + 3)
  3. Check by expanding the brackets.
11.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.
12.Factorise fully: 3x + 24

Answer: 3(x + 8)

  1. Highest common factor: 3
  2. 3x + 24 = 3(x + 8)
  3. Check by expanding the brackets.
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