How to Simplify Algebraic Expressions by Collecting Like Terms

MatholiaChannel

This instructional video provides a clear, step-by-step guide on how to simplify algebraic expressions by collecting like terms. It begins with fundamental concepts, demonstrating how to add and subtract terms with the same variable, and crucially addresses the common student misconception that a variable standing alone has a coefficient of 1. The video progresses from simple two-term expressions to more complex problems involving multiple operations and a mix of variable terms and constant numbers. Key themes include the definition and identification of "like terms," the commutative property of addition (rearranging terms), and the distinction between variables and constants. The video uses effective visual cues, such as color-coded underlining, to help students visually group related terms before performing operations. It methodically shows the process of rewriting expressions to organize them, a vital habit for algebraic success. For educators, this video serves as an excellent tool for introducing algebra basics or remediating struggling students. The clear visual separation of terms makes it ideal for helping students understand why $3t + 7$ cannot be combined into $10t$. It provides a solid foundation for pre-algebra and algebra students to master the mechanics of simplification before moving on to solving equations.