OGE Mathematics Task 20: Equations and Algebraic Expressions

Mastering Task 20 in the OGE Mathematics exam requires a deep understanding of algebraic rules and rigorous problem-solving techniques. This text-based course guides you through every concept and algebraic method needed to confidently solve equations, inequalities, and expressions for full exam credit. You will develop the skills to analyze complex algebraic problems, apply factoring and substitution methods, handle domain restrictions, and write clear, mathematically sound solutions. What you'll learn: • Understand essential mathematical terminology, core algebraic rules, and domain restriction rules. • Simplify complex rational expressions, powers, and radical terms accurately. • Solve polynomial, rational, and biquadratic equations using factoring and substitution techniques. • Apply the interval method to solve quadratic and rational inequalities. • Solve non-linear systems of equations using structured elimination and substitution. • Format written solutions step by step according to official exam grading criteria. The course begins with foundational definitions, algebraic identities, and restriction rules before advancing into practical problem-solving through clear written explanations and text examples. Ideal for students preparing for the OGE math exam who want to build a solid algebraic foundation without complex prerequisites. Start reading today to boost your exam readiness.