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4MA1/2HR Jun 2018, Question 4: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 9 marks

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The question, in short

Algebra question: expand and simplify two expressions, factorise fully, and solve an equation showing algebraic working.

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

Part (a) · 2 marks

Expand and simplify 3(c − 7) + 2(3c + 4).

  1. 13(c − 7) = 3c − 21
  2. 22(3c + 4) = 6c + 8
  3. 33c − 21 + 6c + 8 = 9c − 13

Answer9c − 13

Part (b) · 2 marks

Expand and simplify (x + 7)(x − 2).

  1. 1(x + 7)(x − 2) = x² − 2x + 7x − 14
  2. 2x² + 5x − 14

Answerx² + 5x − 14

Part (c) · 2 marks

Factorise fully 28y² − 21y.

  1. 1Factor out the highest common factor, 7y
  2. 228y² − 21y = 7y(4y − 3)

Answer7y(4y − 3)

Part (d) · 3 marks

Solve (7x − 2) ÷ 4 = 3x + 1, showing clear algebraic working.

  1. 1Multiply both sides by 4: 7x − 2 = 4(3x + 1)
  2. 27x − 2 = 12x + 4
  3. 37x − 12x = 4 + 2
  4. 4−5x = 6
  5. 5x = −6/5

Answer−6/5

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

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