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Year 10 Factorising Expressions (Common Factors) Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Algebraic Expressions

Year 10 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: 12x + 3

Answer: 3(4x + 1)

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

Answer: 5(4x + 1)

  1. Highest common factor: 5
  2. 20x + 5 = 5(4x + 1)
  3. Check by expanding the brackets.
3.Factorise fully: 40x + 48

Answer: 8(5x + 6)

  1. Highest common factor: 8
  2. 40x + 48 = 8(5x + 6)
  3. Check by expanding the brackets.
4.Factorise fully: 24x + 54

Answer: 6(4x + 9)

  1. Highest common factor: 6
  2. 24x + 54 = 6(4x + 9)
  3. Check by expanding the brackets.
5.Factorise fully: 12x + 15

Answer: 3(4x + 5)

  1. Highest common factor: 3
  2. 12x + 15 = 3(4x + 5)
  3. Check by expanding the brackets.
6.Factorise fully: 14x − 7

Answer: 7(2x − 1)

  1. Highest common factor: 7
  2. 14x − 7 = 7(2x − 1)
  3. Check by expanding the brackets.
7.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.
8.Factorise fully: 28x + 7

Answer: 7(4x + 1)

  1. Highest common factor: 7
  2. 28x + 7 = 7(4x + 1)
  3. Check by expanding the brackets.
9.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.
10.Factorise fully: 35x + 56

Answer: 7(5x + 8)

  1. Highest common factor: 7
  2. 35x + 56 = 7(5x + 8)
  3. Check by expanding the brackets.
11.Factorise fully: 15x + 35

Answer: 5(3x + 7)

  1. Highest common factor: 5
  2. 15x + 35 = 5(3x + 7)
  3. Check by expanding the brackets.
12.Factorise fully: 18x + 63

Answer: 9(2x + 7)

  1. Highest common factor: 9
  2. 18x + 63 = 9(2x + 7)
  3. Check by expanding the brackets.
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