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4MA1/1HR Jun 2020, Question 3: Solving Linear Equations

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

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The question, in short

Simplify an index product, evaluate G = c² − 4c at c = −5, and solve an equation with a fraction, showing algebraic working.

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

Part (a) · 1 mark

Simplify h⁷ × h².

  1. 1h⁷ × h² = h^(7+2)
  2. 2h⁹

Answerh⁹

Part (b) · 2 marks

Find G when c = −5, given G = c² − 4c.

  1. 1G = (−5)² − 4 × (−5)
  2. 2G = 25 + 20
  3. 3G = 45

Answer45

Part (c) · 3 marks

Solve (5x − 3)/4 = 2x + 3, showing clear algebraic working.

  1. 1(5x − 3)/4 = 2x + 3
  2. 25x − 3 = 4(2x + 3)
  3. 35x − 3 = 8x + 12
  4. 45x − 8x = 12 + 3
  5. 5−3x = 15
  6. 6x = −5

Answer−5

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

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