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4MA1/2FR Jan 2019, Question 13: Constructing Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 7 marks

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The question, in short

Solve a linear equation, rearrange a formula to make w the subject, and write a cost formula for T using p pencils at 2 dollars and r rulers at 3 dollars.

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

Part (a) · 2 marks

Find the value of x that satisfies 7x + 3 = x − 18.

  1. 17x − x = −18 − 3
  2. 26x = −21
  3. 3x = −21 / 6
  4. 4x = −3.5

Answer−3.5

Part (b) · 2 marks

Rearrange t = 7w + 3 so that w is the subject.

  1. 1t = 7w + 3
  2. 2t − 3 = 7w
  3. 3w = (t − 3) / 7

Answer(t − 3) / 7

Part (c) · 3 marks

Write a formula for total cost T in terms of p and r, with pencils at 2 dollars and rulers at 3 dollars.

  1. 1Cost of pencils: 2 × p = 2p
  2. 2Cost of rulers: 3 × r = 3r
  3. 3Total cost: T = 2p + 3r

AnswerT = 2p + 3r

Stuck on a step? Read the free lesson: Constructing Equations

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