Core Algebra: Solving Equations and Understanding Functions

Do you struggle to understand the core principles behind mathematical modeling and quantitative problem-solving? Algebra provides the essential framework for unlocking higher-level technical and scientific skills. This course transforms your understanding of variables and relationships, enabling you to confidently manipulate complex expressions and solve equations used across various disciplines. What you'll learn: * Understand the foundational terminology, properties of real numbers, and the order of operations. * Solve linear equations and systems of equations using systematic algebraic substitution and elimination methods. * Master the techniques for manipulating polynomials, including multiplication, division, and advanced factoring strategies. * Practice solving quadratic equations using factoring, completing the square, and the standard quadratic formula. * Apply functional notation to define relationships and analyze input-output behavior. * Configure and solve complex inequalities, including compound inequalities and expressions involving absolute values. We begin with the basic axioms and definitions of algebra before progressing through linear equations, polynomials, and rational expressions. The course concludes with a thorough examination of functions and inequalities, reinforced by extensive written exercises. This course is designed for absolute beginners and requires no prior mathematical knowledge beyond basic arithmetic. Start building your rigorous mathematical foundation today.