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4MA1/1F Jun 2021, Question 20: Expand and Simplify

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

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The question, in short

Expand and simplify a product expression, rearrange a formula to make t the subject, and use an index equation to find the value of n.

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

Part (a) · 2 marks

Expand and simplify 3x(2x + 3) − x(3x + 5).

  1. 13x(2x + 3) = 6x² + 9x
  2. 2x(3x + 5) = 3x² + 5x
  3. 36x² + 9x − 3x² − 5x
  4. 43x² + 4x

Answer3x² + 4x

Part (b) · 2 marks

Rearrange p = at − d to make t the subject.

  1. 1p = at − d
  2. 2p + d = at
  3. 3t = (p + d)/a

Answert = (p + d)/a

Part (c) · 2 marks

Given (w⁵ × wⁿ) ÷ w³ = w¹⁰, work out the value of n.

  1. 1Multiplying adds powers: w⁵ × wⁿ = w⁵⁺ⁿ
  2. 2Dividing subtracts powers: w⁵⁺ⁿ ÷ w³ = w²⁺ⁿ
  3. 3So 2 + n = 10
  4. 4n = 8

Answer8

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