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4MA1/1FR Jun 2020, Question 5: Expand and Simplify

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 8 marks

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The question, in short

Six short algebra tasks: simplify expressions involving w, a, f and c/h, factorise 10d + 15, and rearrange e = 7t + g to make t the subject.

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

Part (a) · 1 mark

Simplify w + w + w + w – w.

  1. 1w + w + w + w − w = 3w

Answer3w

Part (b) · 1 mark

Simplify 4 × a × 2.

  1. 14 × a × 2 = 8a

Answer8a

Part (c) · 1 mark

Simplify f × f × f × f × f.

  1. 1f × f × f × f × f = f⁵

Answerf⁵

Part (d) · 2 marks

Simplify 4c + 4h + 5c – 6h by collecting like terms.

  1. 14c + 5c = 9c
  2. 24h − 6h = −2h
  3. 39c − 2h

Answer9c − 2h

Part (e) · 1 mark

Factorise 10d + 15.

  1. 110d + 15 = 5(2d + 3)

Answer5(2d + 3)

Part (f) · 2 marks

Rearrange e = 7t + g to make t the subject.

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

Answert = (e − g)/7

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