Lemmara logoLemmaraWorked solution

4MA1/2FR Jan 2022, Question 20: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Solve two inequalities and equations: one linear inequality in y and one equation in x involving a fraction, showing algebraic working.

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

Part (a) · 2 marks

Find the range of values of y satisfying 4y + 5 > 12.

  1. 14y + 5 > 12
  2. 24y > 12 − 5
  3. 34y > 7
  4. 4y > 7/4

Answery > 7/4

Part (b) · 3 marks

Solve 6x − 5 = (4x − 7)/2 for x, showing clear algebraic working.

  1. 1(6x − 5)/1 = (4x − 7)/2
  2. 22(6x − 5) = 4x − 7
  3. 312x − 10 = 4x − 7
  4. 412x − 4x = −7 + 10
  5. 58x = 3
  6. 6x = 3/8

Answer3/8

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 January 2022 · 4MA1/2FR · 4ma1 jan22 2fr · question 20.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.