A-level · Algebra & functions

Simultaneous equations and inequalitiesExam-style questions

Two conditions at once, and conditions that pick out a range. What solving simultaneously means on a graph; a line meeting a curve, with the answers given as pairs; counting the meeting points with the discriminant; linear inequalities, and why dividing by a negative turns the sign round; quadratic inequalities from the critical values and a sketch; and the outside region, set notation and combining two conditions.

15 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    Solve the inequality 5−2x<115 - 2x < 11. (2 marks)
    Level 2 · 2 marksTry it