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4MA1/1H Jun 2022, Question 5: Solving Linear Equations

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

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The question, in short

Expand and simplify a product of two binomials, then solve a linear equation involving 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 (n − 6)(n + 4).

  1. 1Expand: (n − 6)(n + 4) = n² + 4n − 6n − 24
  2. 24n − 6n = −2n
  3. 3So the answer is n² − 2n − 24

Answern² − 2n − 24

Part (b) · 3 marks

Solve 2x − 3 = (3x − 5)/4, showing clear algebraic working.

  1. 1Multiply both sides by 4: 4(2x − 3) = 3x − 5
  2. 2Expand the left side: 8x − 12 = 3x − 5
  3. 3Collect the x terms: 8x − 3x = −5 + 12, so 5x = 7
  4. 4x = 7/5

Answer7/5

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

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