Students answer two questions about exercise times for an incrementing fitness programme. They identify an expression relating time exercised to the number of weeks on the programme, and explain why this pattern couldn't continue indefinitely.
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 write the simplest algebraic expressions for the lengths and area of parts of a composite shape, then solve these expressions using substitution. They then solve an equation that relates an algebraic expression to a given side length.
Students use substitution to calculate the cost and length of time taken to repair washing machines, and formulate and solve a related linear equation.