A-level maths / Pure 1 / Equations and inequalities
Equations and inequalities
Find values that satisfy an equation, an interval or a whole region of conditions.
Work through the algebra, compare it with the visual model, then try the questions at your own pace.
- Simultaneous equationsSolve pairs of linear and quadratic equations, keep coordinates paired, and connect algebraic answers with graph intersections.
- Linear inequalitiesSolve linear inequalities, reverse the sign correctly, and express combined conditions using number lines, intervals and set notation.
- Quadratic inequalitiesUse roots and sign regions to solve quadratic inequalities, combine solution sets, handle rational inequalities and check parameter restrictions.
- Inequalities on graphsCompare functions, shade regions that satisfy inequalities, distinguish solid and dashed boundaries, and find included vertices and areas.
Useful foundations
Review solving quadratic equations if you need help finding roots, or the discriminant to revise counting real solutions.