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Equations and inequalities

IGCSE Mathematics 0580, topics 2.5 and 2.6. Solving linear equations on a balance, changing the subject, simultaneous equations, quadratic equations, inequalities on a number line and regions.

About this lab: Equations and inequalities

Interactive simulation for Cambridge IGCSE Mathematics 0580 topics 2.5 and 2.6: solve linear equations step by step on a balance scale, change the subject of a formula by reversing a function machine, solve simultaneous equations by elimination alongside their graphs including a line and a curve, solve quadratic equations by factorising, completing the square and the formula, show inequalities on a number line, solve them, and shade regions defined by inequalities.

IGCSE Mathematics 0580, topics 2.5 and 2.6. Solving linear equations on a balance, changing the subject, simultaneous equations, quadratic equations, inequalities on a number line and regions.

Equations and inequalities is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 2 Algebra and graphs, sections 2.5 Equations, 2.6 Inequalities). The course is assessed in Paper 1 (Core non-calculator), Paper 2 (Extended non-calculator), Paper 3 (Core calculator), Paper 4 (Extended calculator). Syllabus for examination in 2025-2027. There are 6 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

Full syllabus map: IGCSE Mathematics 0580 topic 2.

How to use this simulation

  1. 1. Linear equations.
  2. 2. Changing the subject.
  3. 3. Simultaneous equations.
  4. 4. Quadratic equations.
  5. 5. Inequalities.
  6. 6. Regions.
  7. The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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