Simultaneous and quadratic equations

Learning objectives

Solve simultaneous linear equations in two unknowns by elimination and by substitution

Form simultaneous equations from a problem in context and interpret the solution

Solve quadratic equations by factorising (Extended)

Solve quadratic equations by completing the square and by using the quadratic formula (Extended)

Set up and solve quadratic equations from problems in context, rejecting solutions that are not valid (Extended)

Solve simultaneous equations in which one equation is linear and the other is non-linear, by substituting from the linear equation and pairing each solution correctly (Extended)