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4MA1/1F Jan 2023, Question 7: Expand and Simplify

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

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The question, in short

Simplify two algebraic products and sums, then solve a two-step linear equation for d.

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

Part (a) · 1 mark

Simplify the product 5p × 9k.

  1. 15p × 9k = 45pk

Answer45pk

Part (b) · 2 marks

Simplify 3e + 2f + 8e − 7f by collecting like terms.

  1. 13e + 8e = 11e
  2. 22f − 7f = −5f
  3. 311e − 5f

Answer11e − 5f

Part (c) · 2 marks

Solve 2d + 7 = 16 to find d.

  1. 12d + 7 = 16
  2. 22d = 16 − 7
  3. 32d = 9
  4. 4d = 9 ÷ 2
  5. 5d = 4.5

Answer4.5

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