Algebra Essentials: Rational Equations, Quadratic Equations, and Inequalities

Developing confidence in core algebra is essential for success in higher-level mathematics and quantitative fields. This written course guides you through foundational algebraic topics, giving you the tools to analyze and solve algebraic expressions with precision. You will gain a thorough understanding of key algebraic structures and practical methods for finding exact solutions. What you'll learn: - Understand essential algebraic terminology, core definitions, and number properties. - Solve quadratic equations using factoring, completing the square, and the quadratic formula. - Apply Vieta's formulas to analyze roots and simplify algebraic expressions. - Solve rational equations while identifying domain restrictions and domain constraints. - Master single-variable inequalities and systems of inequalities using the interval method. - Practice working with absolute values and non-linear mathematical expressions. The course begins with basic definitions and foundational notation before progressing to structured methods for rational expressions and multi-step inequalities. It is designed for beginners and students seeking a solid mathematical grounding, with no prior advanced math required. Begin building your algebra proficiency today.