Foundational Algebra: Solving Equations and Manipulating Expressions

Are you ready to move beyond basic arithmetic and unlock the power of symbolic mathematics? Algebra is the fundamental language used to model relationships and solve complex problems in science and technology. By the end of this course, you will have a robust understanding of algebraic principles, allowing you to interpret, simplify, and solve foundational equations and inequalities with precision. What you'll learn: * Understand the core concepts of variables, constants, and the order of operations used in algebraic expressions. * Master techniques for simplifying expressions, including expanding binomials and factoring common terms. * Learn how to rearrange formulas and transpose equations to isolate specific variables efficiently. * Practice solving single-variable linear equations and basic simultaneous linear equations. * Apply algebraic methods to solve word problems and translate practical scenarios into mathematical models. * Configure and solve basic linear inequalities, and correctly interpret the resulting solution sets. This course begins with essential definitions and terminology before progressing through step-by-step methods for simplifying expressions and solving various types of equations. You will practice these skills through numerous written examples and exercises. This course is designed for absolute beginners who have little to no prior experience with algebra. No advanced mathematical knowledge is required. Start building your foundational math skills today.