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4MA1/2FR Jan 2023, Question 14: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 7 marks

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The question, in short

Four short algebra tasks: expand a product, factorise an expression, rearrange a formula for m, and solve a linear equation showing working.

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

Part (a) · 1 mark

Multiply out x(10 − x).

  1. 1x(10 − x) = 10x − x²

Answer10x − x²

Part (b) · 1 mark

Factorise 6y + 27.

  1. 16y + 27 = 3(2y + 9)

Answer3(2y + 9)

Part (c) · 2 marks

Rearrange h = m/2 + 4 to make m the subject.

  1. 1h = m/2 + 4
  2. 2h − 4 = m/2
  3. 32(h − 4) = m
  4. 4m = 2h − 8

Answerm = 2h − 8

Part (d) · 3 marks

Solve 7g + 3 = 2g − 5, showing clear algebraic working.

  1. 17g + 3 = 2g − 5
  2. 27g − 2g = −5 − 3
  3. 35g = −8
  4. 4g = −8/5

Answer−8/5

Stuck on a step? Read the free lesson: Solving Linear Equations

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