How to Rearrange Formulas for Any Variable

Miacademy & MiaPrep Learning Channel

In this algebra tutorial, Justin guides students through the process of rearranging common formulas to solve for a specific variable, a skill also known as solving literal equations. The video demonstrates this process using four distinct examples: the area of a triangle, the volume of a cylinder, the Pythagorean theorem, and temperature conversion. Each example introduces slightly more complex algebraic operations, ranging from simple division to handling exponents, square roots, and fraction reciprocals. The video emphasizes that variables in formulas behave just like numbers and can be manipulated using standard algebraic properties. Significant attention is given to common student stumbling blocks, such as how to properly cancel fractions using reciprocals and the misconception that a square root distributes over addition. The narrator uses step-by-step on-screen animations to visualize the isolation of variables. This resource is highly valuable for Algebra I and Geometry classrooms. It connects abstract algebraic manipulation to real-world contexts like architecture and science, helping students understand why rearranging formulas is a necessary skill in various professions. It serves as an excellent introduction or review for lessons on literal equations, inverse operations, and formula manipulation.