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4MA1/2F Jun 2019, Question 9: Constructing Equations

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

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The question, in short

Three-part algebra question: form and simplify a sweets total formula in x, rearrange a formula to make g the subject, 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) · 3 marks

Simon has x sweets, Yuen has 2 more, Giulia has 3 times Yuen's amount; write T in terms of x in simplest form.

  1. 1Yuen: x + 2
  2. 2Giulia: 3(x + 2) = 3x + 6
  3. 3T = x + (x + 2) + (3x + 6)
  4. 4T = 5x + 8

AnswerT = 5x + 8

Part (b) · 2 marks

Rearrange r = 4g + 7 to make g the subject.

  1. 1r = 4g + 7
  2. 2r − 7 = 4g
  3. 3g = (r − 7)/4

Answerg = (r − 7)/4

Part (c) · 3 marks

Solve 6y − 3 = 2y + 8, showing clear algebraic working.

  1. 16y − 3 = 2y + 8
  2. 26y − 2y = 8 + 3
  3. 34y = 11
  4. 4y = 11/4 = 2.75

Answer2.75

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