Year 12 · General Mathematics

Modelling with linear relationships

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore modelling with linear relationships for Year 12. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

Simultaneous linear equations

Context, sequence/table, graph and formula representations; Two-variable simultaneous equations; Graph/technology solution and non-unique systems

Examples, answers and practice

Linear programming

Form constraints and objective; Graph feasible region and find vertices; Optimise objective and interpret units; Unused resources/wastage; Integer-feasible solutions and parameter sensitivity

Examples, answers and practice

Make, test and investigate.

Plan a production mix

Define two products, resource-capacity constraints and profit. Construct the feasible region, investigate vertex and integer solutions, and test a changed resource limit.

Guided activity · No grade