Solve: 3x + 7 = 22.
Launching your learning experience…
Exam Season Offer 🎯 Sign up today & get 15% OFF on Yearly Plan
Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Equations Topical Past Papers.
Top questions students ask on this sub-topic
These Equations Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Algebra and graphs (E2.5) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Construct expressions, equations and formulas. Solve linear equations, simultaneous linear equations, fractional equations, simultaneous one-linear-one-non-linear (Extended), and quadratic equations by factorising, completing the square and using the quadratic formula (Extended).
Solve: 3x + 7 = 22.
Solve: 4x − 11 = −3.
[1 mark]Solve: 5(x − 2) = 3(x + 4).
[2 marks]Solve the simultaneous equations: 2x + y = 11 and x − y = 1.
[2 marks]Solve x² − 5x + 6 = 0.
Solve: (x + 1) / 2 = (2x − 3) / 5.
[2 marks]Hence find the value of x² using your answer from part (a).
[1 mark]Make x the subject of the formula y = 3x − 7.
[2 marks]Solve 2x² − 5x + 1 = 0 using the quadratic formula. Give your answers correct to 2 decimal places.
[2 marks]