Foundational Algebra and Geometry: Solving Equations and Inequalities

Do you need to build a strong, systematic foundation in mathematics for academic success or practical life? Refreshing your knowledge of algebra and geometry is crucial for tackling quantitative challenges with confidence. This course provides a complete review of fundamental mathematical concepts, ensuring you can confidently solve linear and quadratic equations, manipulate inequalities, and apply geometric principles to real-world problems. You will develop the structured thinking required to approach complex mathematical tasks. What you'll learn: * Understand the definitions and properties of real numbers, variables, and algebraic expressions. * Master the techniques for solving linear, quadratic, and systems of equations using step-by-step methods. * Apply algebraic rules to solve various types of inequalities and represent solutions graphically. * Practice calculating areas, volumes, and perimeter using essential formulas from plane and solid geometry. * Analyze the fundamentals of coordinate geometry, including graphing linear functions and determining slope and intercepts. * Develop systematic problem-solving strategies for translating word problems into mathematical models. The course begins by establishing core mathematical terminology and notation. We then move methodically through algebraic concepts, focusing on practical application before progressing to essential geometric theorems and calculations. This course is designed for absolute beginners, students seeking to reinforce their high school math foundation, or adults who need a comprehensive review of core mathematics. No prior mathematical knowledge beyond basic arithmetic is required. Start building your mathematical confidence today.