The Difference Between Math Expressions and Equations

Math with Mr. J

This concise and clear educational video explains the fundamental difference between mathematical expressions and equations. Using a blackboard aesthetic, 'Mr. J' breaks down the definitions of both terms, using the analogy of language: expressions are like phrases, while equations are like full sentences. The video highlights two primary distinctions: the presence of an equal sign and the behavior of variables (changing values in expressions versus fixed values in equations). The video walks viewers through four specific examples—two expressions and two equations—to demonstrate these concepts in action. It shows how to evaluate expressions by substituting different values for variables, and contrasts this with solving equations to find the single specific value that makes the statement true. The narrator also addresses implicit multiplication (e.g., '3d') and basic algebraic operations. This resource is highly valuable for introducing early algebra concepts in upper elementary and middle school classrooms. It directly addresses a common point of confusion for students transitioning from arithmetic to algebra. Teachers can use this video to introduce the vocabulary of algebra, support lessons on substitution and solving one-step equations, or as a review tool for students struggling to distinguish between simplifying expressions and solving equations.