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4MA1/2F Jun 2021, Question 8: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 7 marks

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The question, in short

Simplify three algebraic expressions involving repeated multiplication and collecting like terms, then solve a linear equation showing algebraic working.

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

Part (a) · 1 mark

Write the product of five w's as a single power.

  1. 1w × w × w × w × w = w⁵

Answerw⁵

Part (b) · 1 mark

Multiply the terms 5a and 3c, giving a simplified product.

  1. 15a × 3c = 15ac

Answer15ac

Part (c) · 2 marks

Collect like terms in 3e + 2f − e + 5f to simplify.

  1. 13e − e = 2e
  2. 22f + 5f = 7f
  3. 32e + 7f

Answer2e + 7f

Part (d) · 3 marks

Solve 5x − 7 = x + 12, showing clear algebraic steps.

  1. 15x − 7 = x + 12
  2. 25x − x = 12 + 7
  3. 34x = 19
  4. 4x = 19 / 4
  5. 5x = 4.75

Answer4.75

Stuck on a step? Read the free lesson: Solving Linear Equations

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