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4MA1/2FR Jan 2019, Question 11: Substitution

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 6 marks

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The question, in short

Algebra tasks: factorise 3x² − x, expand 4(2y + 3), and evaluate C = 5a + 4d and P = 3t² + 7t at given values.

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

Part (a) · 1 mark

Factorise the expression 3x² − x.

  1. 1factor out x from 3x² − x
  2. 2x(3x − 1)

Answerx(3x − 1)

Part (b) · 1 mark

Expand the brackets in 4(2y + 3).

  1. 14 × 2y = 8y
  2. 24 × 3 = 12
  3. 38y + 12

Answer8y + 12

Part (c) · 2 marks

Find C from C = 5a + 4d using a = −3 and d = 6.

  1. 15 × (−3) = −15
  2. 24 × 6 = 24
  3. 3−15 + 24 = 9
  4. 4C = 9

Answer9

Part (d) · 2 marks

Find P from P = 3t² + 7t using t = −4.

  1. 1Square first: (−4)² = 16
  2. 23 × 16 = 48
  3. 37 × (−4) = −28
  4. 4P = 48 − 28 = 20

Answer20

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