Lemmara logoLemmaraWorked solution

4MA1/2FR Jun 2024, Question 9: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 8 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Algebra question: simplify products, solve two equations, expand a bracket, and evaluate P = 4y² + w using given values.

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

Part (a) · 1 mark

Simplify the product c × c × c.

  1. 1c × c × c = c³

Answerc³

Part (b) · 1 mark

Simplify the product 12d × 3e.

  1. 112d × 3e = (12 × 3) × d × e = 36de

Answer36de

Part (c) · 1 mark

Solve the equation k/4 = 7 for k.

  1. 1k/4 = 7
  2. 2k = 7 × 4
  3. 3k = 28

Answer28

Part (d) · 2 marks

Solve the equation 2g − 3 = 6 for g.

  1. 12g = 6 + 3
  2. 22g = 9
  3. 3g = 9 ÷ 2
  4. 4g = 4.5

Answer4.5

Part (e) · 1 mark

Expand the bracket x(x − 4).

  1. 1x(x − 4) = x × x − x × 4
  2. 2x² − 4x

Answerx² − 4x

Part (f) · 2 marks

Find P from P = 4y² + w when y = −3 and w = 2.

  1. 1P = 4y² + w
  2. 2y = −3 and w = 2
  3. 3y² = (−3)² = 9
  4. 44 × 9 = 36
  5. 5P = 36 + 2
  6. 6P = 38

Answer38

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

Practise more solving linear equations questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on solving linear equations

Also searched as: 4MA1 2FR June 2024 · 4MA1/2FR · 4ma1 jun24 2fr · question 9.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.