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4MA1/1F Jun 2024, Question 21: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

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The question, in short

Expand and simplify a product of two binomials, then solve a linear equation with a fraction, showing algebraic working.

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

Part (a) · 2 marks

Expand and simplify (m + 5)(m − 8).

  1. 1(m + 5)(m − 8) = m² − 8m + 5m − 40
  2. 2m² − 3m − 40

Answerm² − 3m − 40

Part (b) · 3 marks

Solve 3n − 4 = (5n + 6)/3, showing clear algebraic working.

  1. 13n − 4 = (5n + 6)/3
  2. 23(3n − 4) = 5n + 6
  3. 39n − 12 = 5n + 6
  4. 49n − 5n = 6 + 12
  5. 54n = 18
  6. 6n = 18/4
  7. 7n = 9/2

Answer9/2

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

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