Lemmara logoLemmaraWorked solution

4MA1/1F Jun 2022, Question 8: Expand and Simplify

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 6 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Simplify an algebraic expression, evaluate A = 3b − 5c for b = 12 and c = 4, and solve the equation 4p + 9 = 24.

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

Part (a) · 2 marks

Simplify 12g − 8e − 5g + 6e by collecting like terms.

  1. 112g − 5g = 7g
  2. 2−8e + 6e = −2e
  3. 37g − 2e

Answer7g − 2e

Part (b) · 2 marks

Find A when b = 12 and c = 4, given A = 3b − 5c.

  1. 13 × 12 = 36
  2. 25 × 4 = 20
  3. 336 − 20 = 16

Answer16

Part (c) · 2 marks

Solve 4p + 9 = 24 to find the value of p.

  1. 14p = 24 − 9
  2. 24p = 15
  3. 3p = 15/4

Answer15/4

Stuck on a step? Read the free lesson: Expand and Simplify

Practise more expand and simplify 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 expand and simplify

Also searched as: 4MA1 1F June 2022 · 4MA1/1F · 4ma1 jun22 1f · question 8.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.