How to Rearrange Formulas and Justify Each Step – Mastering Literal Equations in Algebra

Learn how to rearrange formulas and justify every step when solving literal equations in algebra. This video walks through real examples like area formulas, the distance formula, and interest equations, showing how to isolate different variables with clear reasoning.

This lesson aligns with Common Core Standards HSA.CED.A.4 and HSA.REI.A.1:

HSA.CED.A.4: Rearrange formulas to highlight a specific variable, using the same reasoning as solving equations.

HSA.REI.A.1: Explain each step in solving equations as following from equality, and justify solution methods.

By practicing literal equations, students strengthen their algebra skills, improve problem-solving, and learn to model real-life situations with math.

Topics Covered:
Rearranging formulas step by step
Isolating different variables (height, radius, speed, time, etc.)
Using inverse operations correctly
Justifying each step to maintain equality
Real-world applications: area, distance, interest, and force

This video is great for Algebra 1, Algebra 2, and anyone preparing for standardized tests. Perfect for classroom instruction, homework help, or review.

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Time Stamps:
00:00 - Intro
00:29 - Solving for Height in Area of a Triangle
01:24 - Rearranging Area of a Circle
02:30 - Rearranging the Distance Formula
03:12 - Rearranging Simple Interest Formula
04:06 - Rearranging for Time in Compound Interest
05:44 - Summary
06:03 - Includes a bonus question at the end to extend learning and reinforce the concepts taught in the video.

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