How to Determine if a Number is a Solution to an Equation

Miacademy & MiaPrep Learning Channel

This video serves as a foundational introduction to algebraic equations, bridging the gap between arithmetic expressions and algebraic thinking. It clearly defines an equation as two equal expressions joined by an equal sign and uses the visual analogy of a balance scale to demonstrate the concept of equality. The narrator explains that for an equation to be true, both sides must have the same value, regardless of how they are written. The core theme focuses on the concept of a "solution" to an equation involving variables. It defines a solution as a specific value for a variable that makes the equation true. Through step-by-step examples, the video demonstrates the method of substitution: replacing a variable with a specific number and using the order of operations to verify if the resulting statement is true or false. It progresses from simple equations like x = 5 to more complex ones involving negative numbers and variables on both sides. For educators, this resource is an excellent tool for introducing pre-algebra students to the mechanics of checking their work. It shifts the focus from just "finding the answer" to understanding what an answer actually represents. The clear visualization of the balance scale helps demystify abstract variables, and the guided practice problems provide immediate application of the substitution method, making it ideal for 6th to 8th-grade classrooms starting algebra units.