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4MA1/2FR Jun 2019, Question 13: 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 algebra tasks: solve a linear equation, expand a product, evaluate y = 5e² + 20 at e = −3, and factorise a quadratic.

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

Part (a) · 2 marks

Solve 3f − 5 = 11 for f.

  1. 13f − 5 = 11
  2. 23f = 16
  3. 3f = 16/3 (= 5 1/3)

Answer16/3

Part (b) · 1 mark

Expand w(w + 3).

  1. 1w × w = w²
  2. 2w × 3 = 3w
  3. 3w² + 3w

Answerw² + 3w

Part (c) · 2 marks

Find y from y = 5e² + 20 when e = −3.

  1. 1y = 5 × (−3)² + 20
  2. 2(−3)² = 9
  3. 3y = 45 + 20 = 65

Answer65

Part (d) · 2 marks

Factorise x² − 5x − 36.

  1. 1Find two numbers that multiply to −36 and add to −5
  2. 24 × (−9) = −36 and 4 + (−9) = −5
  3. 3(x + 4)(x − 9)

Answer(x + 4)(x − 9)

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

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