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Students use substitution to evaluate a linear equation for parking charges. Students expand, simplify, and change the subject of the equation.

Students demonstrate their understanding of a linear algebraic equation to calculate the amount of money in a savings account.

Students identify parts of algebraic equations and use the equations to calculate temperatures in the Antarctic at different times of the day.

Students describe algebraic expressions in words.

Students select the correct algebraic expression describing practical situations.

Students explain the variables in a linear equation involving speed and distance. They then solve the equation by substitution.

Students select the correct factorisation of algebraic expressions.

Students factorise algebraic expressions.

Students use substitution into equations to evaluate the number of blocks and total surface areas in shapes of different heights. The stimulus can be used as a challenging task to try and derive the rules from the spatial pattern. This is classified as Patterns and Relationships.

Students write equations for story problems describing practical situations.

Students write and solve equations for story problems describing practical situations.

Students write algebraic expressions with indices which make equations true.

Students identify what happens to indices when simplifying algebraic expressions.

Students solve given algebraic expressions using substitution.

Students identify whether algebraic equations are always, sometimes, or never true, and explain their reasoning.

Students calculate the weight of parts of a fish from given proportions.

Students solve algebraic problems about people's ages using information given.

Students use given information to solve a story problem about paper deliveries and identify the correct algebraic equation for the answer. They also write an algebraic equation for a similar story problem.

Students use substitution to calculate the cost and length of time taken to repair washing machines, and formulate and solve a related linear equation.

Students write algebraic expressions which make equations true.

Students are required to re-arrange various algebraic equations.

Students complete 3 x 3 addition arrays by using whole numbers and algebraic expressions.

Students use a flowchart to find solutions and generate rules from them.

Students interpret information from a flowchart to calculate the total costs of different sized groups staying in a motel for varying lengths. They also complete a linear algebraic equation to show the costs of one group's stay.

Students calculate the repair charges for two different washing machine repair companies, and compare and explain their results.