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4MA1/2F Nov 2021, Question 12: Solving Linear Equations

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

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The question, in short

Using T = 6p − 4d, evaluate T for given p and d, find p for given T and d, and solve a linear equation showing working.

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

Part (a) · 2 marks

Substitute p = 8 and d = 3 into T = 6p − 4d and calculate T.

  1. 1T = 6 × 8 − 4 × 3
  2. 2= 48 − 12 = 36

Answer36

Part (b) · 3 marks

Given T = −41 and d = 5, rearrange T = 6p − 4d to find p.

  1. 1Substitute: −41 = 6p − 4 × 5 = 6p − 20
  2. 2Add 20 to both sides: 6p = −21
  3. 3p = −21/6 = −7/2

Answer−7/2

Part (c) · 3 marks

Solve 4(x − 3) = 7x + 15 for x, showing clear algebraic steps.

  1. 1Expand: 4x − 12 = 7x + 15
  2. 2Collect terms: −12 − 15 = 7x − 4x, so 3x = −27
  3. 3x = −9

Answer−9

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

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