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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: 8x − 14

Answer: 2(4x − 7)

  1. Highest common factor: 2
  2. 8x − 14 = 2(4x − 7)
  3. Check by expanding the brackets.
2.Factorise fully: 10x + 16

Answer: 2(5x + 8)

  1. Highest common factor: 2
  2. 10x + 16 = 2(5x + 8)
  3. Check by expanding the brackets.
3.Factorise fully: 4x + 2

Answer: 2(2x + 1)

  1. Highest common factor: 2
  2. 4x + 2 = 2(2x + 1)
  3. Check by expanding the brackets.
4.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.
5.Factorise fully: 24x − 64

Answer: 8(3x − 8)

  1. Highest common factor: 8
  2. 24x − 64 = 8(3x − 8)
  3. Check by expanding the brackets.
6.Factorise fully: 10x − 18

Answer: 2(5x − 9)

  1. Highest common factor: 2
  2. 10x − 18 = 2(5x − 9)
  3. Check by expanding the brackets.
7.Factorise fully: 10x + 6

Answer: 2(5x + 3)

  1. Highest common factor: 2
  2. 10x + 6 = 2(5x + 3)
  3. Check by expanding the brackets.
8.Factorise fully: 35x + 21

Answer: 7(5x + 3)

  1. Highest common factor: 7
  2. 35x + 21 = 7(5x + 3)
  3. Check by expanding the brackets.
9.Factorise fully: 20x − 8

Answer: 4(5x − 2)

  1. Highest common factor: 4
  2. 20x − 8 = 4(5x − 2)
  3. Check by expanding the brackets.
10.Factorise fully: 8x + 8

Answer: 8(x + 1)

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

Answer: 8(x + 6)

  1. Highest common factor: 8
  2. 8x + 48 = 8(x + 6)
  3. Check by expanding the brackets.
12.Factorise fully: 35x − 21

Answer: 7(5x − 3)

  1. Highest common factor: 7
  2. 35x − 21 = 7(5x − 3)
  3. Check by expanding the brackets.
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