Simplifying Algebraic Expressions by Combining Like Terms

Miacademy & MiaPrep Learning Channel

This video provides a clear and engaging introduction to the algebraic concept of combining like terms, a fundamental skill for simplifying expressions. The lesson begins with a relatable analogy using puppies and dinosaurs to explain why different items cannot be merged, laying a conceptual foundation before introducing variables. The narrator, Justin, systematically defines "like terms" as those sharing the exact same variables and exponents, emphasizing that coefficients can differ while the variable parts must match perfectly. The video progresses through a series of scaffolded examples, starting with a matching activity to identify like terms and moving into simplifying expressions of increasing complexity. It covers critical nuances, such as recognizing invisible coefficients of 1, understanding that sign (positive/negative) is attached to the term, and handling terms that cancel out to zero. The lesson demonstrates a practical visual strategy using colored shapes to organize and group terms before combining them. For educators, this video serves as an excellent instructional tool for Pre-Algebra and Algebra I classes. It effectively addresses common student errors, such as confusing variables with different exponents or misapplying signs during operations. By offering a step-by-step method for annotation and simplification, the video equips students with a concrete process to tackle abstract algebraic problems, making it valuable for introducing the topic or for remediation.