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4MA1/2FR Jun 2022, Question 9: Substitution

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

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The question, in short

Simplify algebraic products and an expansion, then evaluate Q = 5v² − w using v = 1/2 and w = 1/4.

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

Part (a) · 1 mark

Write a × a × a × a × a as a single power of a.

  1. 1a × a × a × a × a = a⁵

Answera⁵

Part (b) · 1 mark

Simplify the product 8b × 3c into one term.

  1. 18b × 3c = 24bc

Answer24bc

Part (c) · 1 mark

Expand the bracket 3(x + 4).

  1. 13(x + 4) = 3x + 12

Answer3x + 12

Part (d) · 2 marks

Find Q from Q = 5v² − w when v = 1/2 and w = 1/4.

  1. 1Q = 5v² − w
  2. 2v = 1/2, so v² = (1/2)² = 1/4
  3. 35 × (1/4) = 5/4
  4. 4w = 1/4
  5. 5Q = 5/4 − 1/4 = 4/4 = 1

Answer1

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