Lemmara logoLemmaraWorked solution

0580/12 Oct/Nov 2022, Question 8: Expand and Simplify

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Simplify an algebraic expression by collecting like terms, then evaluate the given formula for s using t = 6 and a = 3.

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

Part (a) · 2 marks

Simplify 6a + 3b − 2a − 5b by combining like terms.

  1. 16a − 2a = 4a and 3b − 5b = −2b
  2. 24a − 2b

Answer4a − 2b or 2(2a − b)

Part (b) · 2 marks

Using s = 5t + 1/2at², find s when t = 6 and a = 3.

  1. 1s = 5 × 6 + 1/2 × 3 × 6²
  2. 2= 30 + 54 = 84

Answer84

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

Practise more expand and simplify questions

Real 0580 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: 0580/12/O/N/22 · 0580_w22_qp_12 · 0580 w22 12 · question 8.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.