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4MA1/1F Jan 2019, Question 8: Expand and Simplify

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

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The question, in short

Simplify an algebraic expression, expand and simplify a bracketed expression, and factorise an expression fully.

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

Part (a) · 2 marks

Simplify 2e − 3f + 4e − 7f by collecting like terms.

  1. 1Collect the e terms: 2e + 4e = 6e
  2. 2Collect the f terms: −3f − 7f = −10f
  3. 3= 6e − 10f

Answer6e − 10f

Part (b) · 2 marks

Expand and simplify 5(4x + 3) − (3x − 1).

  1. 15(4x + 3) = 20x + 15
  2. 2−(3x − 1) = −3x + 1
  3. 320x + 15 − 3x + 1 = 17x + 16

Answer17x + 16

Part (c) · 2 marks

Factorise 4p + 6pq fully.

  1. 1The highest common factor of 4p and 6pq is 2p
  2. 24p ÷ 2p = 2 and 6pq ÷ 2p = 3q
  3. 3= 2p(2 + 3q)

Answer2p(2 + 3q)

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