CAIE IGCSE Mathematics Extended E2.5.1 Equations

Cambridge IGCSE Mathematics 0580 syllabus for exams in 2028, 2029 and 20302028–2030

Practise forming and solving equations, from factorised quadratics to simultaneous line-curve systems and rearranged formulae.

How this is tested

show a contextual equation simplifies to a given quadratic by clearing fractions correctly
solve quadratics by factorisation or formula, giving decimal answers when requested
rearrange formulae with algebraic denominators by collecting the required variable

[Maximum number: 4]

Gaya spends $ 48 to buy books that cost $ x each.

Myra spends $ 60 to buy books that cost $(x+2) each. Gaya buys 4 more books than Myra.

Show that $x^{2}+5 x-24=0$ .