Students tackle simultaneous linear equations where they use methods like substitution, elimination, and graphical solutions to find the intersections of lines. This section enhances their ability to solve complex problems that require understanding multiple constraints simultaneously, applicable in scenarios ranging from business forecasting to scientific research where relationships between variables must be clearly understood and managed.

Students explore both linear and non-linear equations, distinguishing between their characteristics and solutions. Linear equations are solved using algebraic techniques and graphing, while non-linear equations, including quadratic and exponential, are tackled through factorisation, completing the square, and using appropriate transformations. This practice develops a robust understanding of different mathematical models and their appropriate applications in various contexts.

Students apply their algebraic skills to solve word problems that translate real-world situations into mathematical equations. These exercises involve setting up and solving equations to find solutions to practical issues such as budgeting, planning, and optimising resources. This section not only tests their mathematical knowledge but also enhances their ability to think critically and apply mathematics in daily life and professional environments.