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4MA1/1FR Jun 2025, Question 5: Expand and Simplify

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 7 marks

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The question, in short

Simplify algebraic products and sums, then solve two linear equations for the unknown.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Simplify the product 4e × 7f.

  1. 14 × 7 = 28
  2. 2e × f = ef
  3. 3= 28ef

Answer28ef

Part (b) · 1 mark

Simplify d × d × d × d × d, writing it in index form.

  1. 1d is multiplied 5 times
  2. 2= d⁵

Answerd⁵

Part (c) · 2 marks

Simplify 3a + 2k + a − 7k by collecting like terms.

  1. 13a + a = 4a
  2. 22k − 7k = −5k
  3. 3= 4a − 5k

Answer4a − 5k

Part (d) · 1 mark

Solve x + 6 = 15 for x.

  1. 1x + 6 = 15
  2. 2x = 15 − 6
  3. 3x = 9

Answer9

Part (e) · 2 marks

Solve 2r − 9 = 14 for r.

  1. 12r − 9 = 14
  2. 22r = 14 + 9 = 23
  3. 3r = 23 ÷ 2
  4. 4r = 11.5

Answer11.5

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