Foundational Algebra: Solving Linear and Quadratic Equations

Do you struggle with the core rules of algebra that underpin higher mathematics and technical fields? This course provides a clear, conceptual introduction to the fundamentals of algebra, focusing on the practical steps needed to solve common equation types. By the end, you will have the confidence to tackle linear and quadratic problems, understand function notation, and interpret graphical representations like parabolas. What you'll learn: * Understand the fundamental properties of real numbers and rules for algebraic manipulation. * Master techniques for solving systems of linear equations using substitution and elimination. * Apply the quadratic formula and factorization methods to solve quadratic equations. * Analyze quadratic functions to determine the vertex, axis of symmetry, and intercepts of a parabola. * Practice transforming real-world word problems into solvable algebraic expressions. The material begins with foundational terminology and rules of arithmetic operations, systematically progressing through linear equations and systems, and finally, detailed coverage of quadratic equations and their relationship to parabolas. This course is designed for absolute beginners, students refreshing their math skills, or anyone preparing for STEM courses. No prior algebraic knowledge is required. Start strengthening your mathematical foundation today.