Equations and Inequalities

This topic covers the fundamental skills needed to solve various types of equations and inequalities. Students will learn methods for solving linear and quadratic equations and inequalities, including those involving absolute values and rational expressions. The topic emphasizes understanding solution sets, graphing inequalities on number lines, and applying these skills to practical problems.

Learning Outcomes:
The learner should be able to:

• build formula from word statements.
• re-write a given formula by changing the subject.
• solve equations and inequalities, representing the solutions on a number line or graphically as appropriate.
• Solve linear equations and inequalities using algebraic methods.
• Solve quadratic equations and inequalities by factoring, completing the square, and using the quadratic formula.
• Graph linear and quadratic inequalities on number lines and coordinate planes.
• Solve compound inequalities and interpret their solution sets.
• Apply equations and inequalities to solve real-world problems.