Equations with Variables on Both Sides – Real World Problems & Modeling Practice

This video covers equations with variables on both sides through real-world problems and algebraic modeling practice. You'll learn how to solve linear equations and inequalities by applying them to realistic scenarios like comparing salary plans, grocery delivery costs, bike rentals, and more.

Aligned with Common Core Standards HSA.REI.B.3 and HSA.CED.A.3, this video helps students:

Solve linear equations and inequalities in one variable
Represent constraints using equations or inequalities
Interpret solutions as viable or non-viable in context

Each problem is explained step-by-step to help reinforce understanding and build algebra problem-solving skills. Ideal for Algebra 1 students and teachers looking for clear examples of mathematical modeling with real-life relevance.

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Time Stamps:
00:00 - Intro
00:27 - Finding the Starting Amount
01:36 - Total Cost for Items
04:04 - Travel Speed Calculation
06:25 - Solving with Multiplication
08:50 - Equation Involving Area
10:41 - Summary
10:59 - Includes a bonus question at the end to extend learning and reinforce the concepts taught in the video.

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