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Solving Equations with Variables on Both Sides: A Step-by-Step Guide, Slides of Algebra

University of North Dakota (UND)Algebra

Learn how to write and solve equations with variables on both sides through examples using algebra tiles and word problems. This guide covers bringing variable terms to the same side and finding the value of the variable that makes the expressions equal.

Typology: Slides

2021/2022

Uploaded on 09/27/2022

courtneyxxx
courtneyxxx 🇺🇸

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6.2 Writing and Solving Equations with Variables on both
Sides
Key Concept:
When you write an equation, you set two expressions equal to each other.
When you solve an equation, you find the value of the variable that makes the
two expressions equal.
Sometimes, both expressions contain a variable term.
To solve this kind of equation, bring all of the variable terms to the same side
of the equation.
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Download Solving Equations with Variables on Both Sides: A Step-by-Step Guide and more Slides Algebra in PDF only on Docsity!

6.2 Writing and Solving Equations with Variables on both

Sides

Key Concept: When you write an equation, you set two expressions equal to each other. When you solve an equation, you find the value of the variable that makes the two expressions equal. Sometimes, both expressions contain a variable term. To solve this kind of equation, bring all of the variable terms to the same side of the equation.

Part One: Modeling Expressions Example: Use algebra tiles to solve the equation 6x-9 = 4x + Your Turn: Use algebra tiles to solve the equation, 12x+7= - 8+13x

Part Two: Two Step Equation Word Problems Example: Your Turn: A town’s population is 14,000, and it is increasing by 160 people every year. A nearby town has a population of 24,000, and it is decreasing by 200 every year. In about how many years will the populations of the towns be equal.

Part Three: Solve Example: