Advanced Algebra and Problem Solving

Formulate and solve pairs of linear simultaneous equations using elimination and substitution methods.

Formulate and solve simultaneous equations where one is linear and one is non-linear.

Solve linear inequalities, including compound inequalities, and represent solution sets on a number line.

Translate written information into algebraic equations or expressions to solve multi-step problems.

Construct a logical algebraic argument to transform an expression into a required 'show that' format.