Lemmara logoLemmaraWorked solution

4MA1/1FR Jun 2019, Question 8: Expand and Simplify

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

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Simplify algebraic expressions, solve a linear equation, factorise an expression, and rearrange a formula to make y the subject.

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

Part (a) · 1 mark

Simplify the sum of four identical terms a.

  1. 1a + a + a + a = 4a

Answer4a

Part (b) · 1 mark

Simplify the product 3c × 5c.

  1. 13c × 5c = 15c²

Answer15c²

Part (c) · 2 marks

Simplify 3e + 7g + 5e − 4g by collecting like terms.

  1. 13e + 5e = 8e
  2. 27g − 4g = 3g
  3. 38e + 3g

Answer8e + 3g

Part (d) · 1 mark

Solve the equation x − 9 = 14 for x.

  1. 1x − 9 = 14
  2. 2x = 14 + 9
  3. 3x = 23

Answer23

Part (e) · 1 mark

Factorise 5y + 15.

  1. 15y + 15 = 5(y + 3)

Answer5(y + 3)

Part (f) · 2 marks

Rearrange H = 3y − w to make y the subject.

  1. 1H = 3y − w
  2. 2H + w = 3y
  3. 3y = (H + w)/3

Answer(H + w)/3

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 1FR June 2019 · 4MA1/1FR · 4ma1 jun19 1fr · question 8.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.