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4MA1/2F Jan 2019, Question 11: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 8 marks

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The question, in short

Five short algebra tasks: solve a linear equation, rearrange a formula, and simplify three expressions involving powers and indices.

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

Part (a) · 2 marks

Solve 5m + 7 = 24 for m.

  1. 1Subtract 7 from both sides: 5m = 17
  2. 2Divide by 5: m = 17/5
  3. 3m = 3.4

Answer3.4

Part (b) · 2 marks

Rearrange k = (t − e) ÷ 2 to make t the subject.

  1. 1Multiply both sides by 2: 2k = t − e
  2. 2Add e to both sides: t = 2k + e

Answert = 2k + e

Part (c) · 1 mark

Simplify p⁸ ÷ p³, giving the result as a power of p.

  1. 1Dividing powers of p: subtract the indices, 8 − 3 = 5
  2. 2p⁸ ÷ p³ = p⁵

Answerp⁵

Part (d) · 1 mark

Simplify n⁰.

  1. 1Anything (except 0) to the power 0 is 1, so n⁰ = 1

Answer1

Part (e) · 2 marks

Simplify (3x²y⁵)³, applying the power to each factor.

  1. 1Cube each part: 3³ × (x²)³ × (y⁵)³
  2. 23³ = 27, (x²)³ = x⁶, (y⁵)³ = y¹⁵
  3. 3= 27x⁶y¹⁵

Answer27x⁶y¹⁵

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

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