Lemmara logoLemmaraWorked solution

0580/33 Oct/Nov 2023, Question 8: Constructing Equations

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 9 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Algebra question: expand and simplify two expressions, rearrange a formula to make t the subject, and use a triangle's perimeter of 49 cm to find x.

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

Part (ai) · 2 marks

Expand and simplify 4(x + 3) + 2(x − 1).

  1. 14x + 12 + 2x − 2
  2. 2= 6x + 10

Answer6x + 10

Part (aii) · 2 marks

Expand and simplify (m − 6)(m − 4).

  1. 1m² − 4m − 6m + 24
  2. 2= m² − 10m + 24

Answerm² − 10m + 24

Part (b) · 2 marks

Rearrange p = 4t + 3 to make t the subject.

  1. 1p − 3 = 4t
  2. 2t = (p − 3)/4

Answer(p − 3)/4

Part (c) · 3 marks

Triangle sides are 4x − 15, 2x + 1 and x, with perimeter 49 cm; find x.

  1. 1(4x − 15) + (2x + 1) + x = 49
  2. 27x − 14 = 49
  3. 37x = 63, x = 9

Answer9

Stuck on a step? Read the free lesson: Constructing Equations

Practise more constructing equations 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 constructing equations

Also searched as: 0580/33/O/N/23 · 0580_w23_qp_33 · 0580 w23 33 · question 8.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.