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4MA1/1FR Jan 2021, Question 15: Solving Linear Equations

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

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The question, in short

Three short algebra tasks: expand a bracket, factorise an expression, and solve a linear equation showing working.

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

Part (a) · 1 mark

Multiply out 5(3a + 4).

  1. 15 × 3a = 15a
  2. 25 × 4 = 20
  3. 315a + 20

Answer15a + 20

Part (b) · 1 mark

Write 4c − 14 in factorised form.

  1. 1Find the highest common factor of 4 and 14, which is 2
  2. 24c ÷ 2 = 2c
  3. 3−14 ÷ 2 = −7
  4. 42(2c − 7)

Answer2(2c − 7)

Part (c) · 3 marks

Find x from 5x − 11 = x + 6, showing clear algebraic steps.

  1. 15x − 11 = x + 6
  2. 25x − x = 6 + 11
  3. 34x = 17
  4. 4x = 17 ÷ 4
  5. 5x = 4.25

Answer4.25

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

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