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4MA1/1FR Jan 2022, Question 13: Constructing Equations

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

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The question, in short

Factorise the linear expression 6x − 15, then form a formula for the bolts T left after Samira fills and sells packets from c boxes of 200 bolts, with 50 bolts per packet and d packets sold.

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

Part (a) · 1 mark

Rewrite 6x − 15 as a product of a common factor and a bracket.

  1. 16x − 15
  2. 2Factor out 3: 3(2x − 5)

Answer3(2x − 5)

Part (b) · 3 marks

Express T using c and d, accounting for 200 bolts per box and 50 per packet.

  1. 1Each box has 200 bolts, so c boxes give 200c bolts
  2. 2Each packet uses 50 bolts, so d packets use 50d bolts
  3. 3Bolts left = total bolts − bolts used
  4. 4T = 200c − 50d

AnswerT = 200c − 50d

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