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4MA1/1F Jan 2023, Question 13: Substitution

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

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The question, in short

Substitute t = 18, a = −3 and c = 5 into p = t − ac to find p, then rearrange d = 3x + 10 to make x the subject.

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

Part (a) · 2 marks

Calculate p using p = t − ac with t = 18, a = −3 and c = 5.

  1. 118 − (−3) × 5
  2. 218 − (−15)
  3. 318 + 15 = 33

Answer33

Part (b) · 2 marks

Rearrange d = 3x + 10 so that x is the subject of the formula.

  1. 1d = 3x + 10
  2. 2d − 10 = 3x
  3. 3(d − 10)/3 = x
  4. 4x = (d − 10)/3

Answerx = (d − 10)/3

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