Algebra Manipulating Variables - Practice

This math unit begins by developing foundational algebraic skills through the multiplication of bracketed terms with different variables, establishing an understanding of polynomial manipulations. It progresses to solving linear equations, starting with simpler forms involving one variable with three terms, and gradually increasing in complexity to equations with four terms. The unit then transitions to the manipulation of algebraic fractions, increasingly focusing on solving equations that contain variables within fractions and reinforcing the reduction of fractions to their simplest forms. The latter part of the unit introduces solving problems presented in a visual format with balance shapes, which require the use of substitution and subtraction to formulate and solve equations. This specialized focus aims to enhance understanding of how algebraic principles apply to practical and abstract mathematical problems, culminating in the ability to simplify complex algebraic expressions and solve advanced algebraic equations.