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4MA1/1F Jun 2019, Question 16: Substitution

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

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The question, in short

Five short algebra tasks: evaluate a formula, simplify two index expressions, expand a pair of brackets, 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

Substitute g = 7 and h = −4 into P = 2g + 3h and work out P.

  1. 12 × 7 = 14
  2. 23 × −4 = −12
  3. 314 + (−12) = 2

Answer2

Part (b) · 1 mark

Simplify e⁹ ÷ e⁵ as a single power of e.

  1. 1Subtract the powers: e⁹ ÷ e⁵ = e⁹⁻⁵ = e⁴

Answere⁴

Part (c) · 1 mark

Simplify (y²)⁸ as a single power of y.

  1. 1Multiply the powers: (y²)⁸ = y²ˣ⁸ = y¹⁶

Answery¹⁶

Part (d) · 2 marks

Expand and simplify (x + 9)(x − 2).

  1. 1(x + 9)(x − 2) = x² − 2x + 9x − 18
  2. 2x² + 7x − 18

Answerx² + 7x − 18

Part (e) · 2 marks

Factorise 16c⁴p² + 20cp³ fully.

  1. 1The highest common factor of both terms is 4cp²
  2. 216c⁴p² = 4cp² × 4c³ and 20cp³ = 4cp² × 5p
  3. 34cp²(4c³ + 5p)

Answer4cp²(4c³ + 5p)

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