How to Evaluate Algebraic Expressions Using Substitution

Miacademy & MiaPrep Learning Channel

This video provides a clear, step-by-step guide to evaluating algebraic expressions with one variable. It begins by establishing the fundamental vocabulary of algebra, defining terms such as variable, coefficient, and constant, before introducing the core concept of substitution. The narrator uses visual animations to demonstrate how to replace a letter in an expression with a given numerical value, emphasizing the importance of using parentheses to indicate multiplication during this process. The video introduces a structured three-step method for solving these problems: (1) Write the expression, (2) Substitute the value, and (3) Evaluate using the order of operations. This framework is applied to a purely mathematical example involving multiple terms ($m + 3m - 10$) to build procedural fluency. The content moves from abstract equations to concrete application, helping students visualize the mechanics of algebra. Finally, the lesson connects these skills to the real world through a word problem about a track star named Chloe. Students learn how variables apply to physics concepts like distance, time, and speed. By calculating Chloe's speed for two different race times, the video demonstrates how algebraic formulas are used to analyze changing data in real-life scenarios, making the abstract math concepts tangible and relevant.