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4MA1/1F Jan 2019, Question 13: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 8 marks

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The question, in short

Three algebra tasks: expand a product of two brackets, solve an equation with a fraction, and solve a quadratic equation, showing working.

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

Part (a) · 2 marks

Expand and simplify the product (e + 3)(e − 5).

  1. 1Multiply each pair: e × e = e², e × (−5) = −5e, 3 × e = 3e, 3 × (−5) = −15
  2. 2Collect the e terms: −5e + 3e = −2e
  3. 3= e² − 2e − 15

Answere² − 2e − 15

Part (b) · 3 marks

Solve y = (2y + 1)/5, showing clear algebraic working.

  1. 1Multiply both sides by 5: 5y = 2y + 1
  2. 2Subtract 2y from both sides: 3y = 1
  3. 3y = 1/3

Answer1/3

Part (c) · 3 marks

Solve x² + 3x − 18 = 0, showing working clearly.

  1. 1Factorise: (x + 6)(x − 3) = 0
  2. 2x + 6 = 0 or x − 3 = 0
  3. 3x = −6, x = 3

Answerx = −6, x = 3

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

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