Foundations of Algebra: Solving Linear and Quadratic Equations

Equations are the cornerstone of algebra, yet many learners struggle with the transition from basic arithmetic to algebraic thinking. Understanding how to manipulate and solve linear and quadratic equations is essential for success in higher mathematics, science, and data-driven fields. This written course guides you through the core concepts of algebra, turning complex formulas into logical, manageable steps. You will transition from learning basic terminology to confidently solving single-variable equations, systems of linear equations, and quadratic equations using multiple methods. What you'll learn: - Understand foundational algebraic terms, variables, and the properties of equality - Solve single-variable linear equations and represent their solutions graphically - Master methods for solving systems of linear equations, including substitution and elimination - Factor quadratic expressions and solve quadratic equations using the quadratic formula - Analyze quadratic functions to find vertices, intercepts, and real-world maximums or minimums - Apply algebraic modeling to solve practical word problems and real-world scenarios The course begins with essential terminology and the absolute basics of algebraic balance before moving systematically through linear systems and quadratic methods. You will progress through detailed written explanations, structured derivations, and step-by-step solved examples that reinforce your conceptual understanding. This course is designed for beginners, students looking to strengthen their math foundation, or professionals brushing up on algebra basics. No advanced math background is required. Start reading today to build a confident, intuitive grasp of algebraic equations.