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4MA1/1F Nov 2021, 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

Four short algebra tasks: solve a linear equation, simplify a product, collect like terms, and factorise an expression fully.

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

Part (a) · 1 mark

Solve 5x = 20 for x.

  1. 15x = 20
  2. 2x = 20 / 5
  3. 3x = 4

Answer4

Part (b) · 1 mark

Simplify the product 3a × 8b.

  1. 13a × 8b
  2. 23 × 8 × a × b
  3. 324ab

Answer24ab

Part (c) · 2 marks

Simplify 8w − 4y + w − 3y by collecting like terms.

  1. 18w + w = 9w
  2. 2−4y − 3y = −7y
  3. 39w − 7y

Answer9w − 7y

Part (d) · 2 marks

Factorise 16 + 12t fully.

  1. 116 + 12t
  2. 24 × 4 + 4 × 3t
  3. 34(4 + 3t)

Answer4(4 + 3t)

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