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4MA1/1FR Jun 2024, Question 11: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 8 marks

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The question, in short

Algebra revision: combine like terms, use a linear nth term formula, and solve an equation with brackets, showing working.

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

Part (a) · 1 mark

Write the sum of five identical terms c as a single term.

  1. 1There are five lots of c
  2. 2c + c + c + c + c = 5c

Answer5c

Part (b) · 2 marks

Collect the w terms and the y terms to give one simplified expression.

  1. 1Collect the w terms: 7w − 9w = −2w
  2. 2Collect the y terms: 10y + 2y = 12y
  3. 3So the answer is −2w + 12y

Answer−2w + 12y

Part (c) · 2 marks

Using the rule 7n − 4, work out the values when n = 1 and when n = 5.

  1. 1Put n = 1 into 7n − 4: 7 × 1 − 4 = 3
  2. 2Put n = 5 into 7n − 4: 7 × 5 − 4 = 35 − 4 = 31

Answer1st term 3, 5th term 31 or 3, 31

Part (d) · 3 marks

Find the value of x satisfying 7(x + 5) = 8 − 3x, with full algebraic steps.

  1. 1Expand the bracket: 7x + 35 = 8 − 3x
  2. 2Collect the x terms: 7x + 3x = 8 − 35
  3. 310x = −27
  4. 4x = −2.7

Answer−2.7

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