UNIT OVERVIEW

Equations and inequalities are essential tools in algebra. They help you find unknown values, understand relationships between quantities, and solve real-world problems.

In Grade 10, you learned to solve quadratic equations by factorisation. In this unit, you will expand your skills to include:

• Completing the square — rewriting quadratic expressions in a useful form
• The quadratic formula — a method that works for any quadratic equation
• The discriminant — a way to determine what type of solutions an equation has, without solving it
• Quadratic inequalities — finding ranges of values that satisfy an inequality
• Simultaneous equations — solving systems where one equation is linear and one is quadratic