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4MA1/1F Jun 2020, Question 7: Expand and Simplify

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 6 marks

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The question, in short

Five short algebra tasks: simplify a product, solve two equations, simplify an expression by collecting terms, and expand a bracket.

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

Part (a) · 1 mark

Simplify the product 5c × d.

  1. 15c × d = 5cd

Answer5cd

Part (b) · 1 mark

Solve x + 5 = 12 for x.

  1. 1Subtract 5 from both sides
  2. 2x = 12 − 5 = 7

Answer7

Part (c) · 1 mark

Solve 9y = 36 for y.

  1. 19y = 36
  2. 2y = 36 ÷ 9
  3. 3y = 4

Answer4

Part (d) · 2 marks

Simplify 8k + 5m − 2k + 6m by collecting like terms.

  1. 1Collect the k terms: 8k − 2k = 6k
  2. 2Collect the m terms: 5m + 6m = 11m
  3. 36k + 11m

Answer6k + 11m

Part (e) · 1 mark

Expand 4(3g + 1).

  1. 14 × 3g = 12g
  2. 24 × 1 = 4
  3. 312g + 4

Answer12g + 4

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