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Math Example--Solving Equations--One-Variable Equations: Example 26

One-Variable Equations: Example 26

One-Variable Equations: Example 26

Topic

Equations

Description

This example showcases a more advanced one-variable equation, likely involving multiple steps and complex algebraic manipulations. The equation might include fractions, exponents, or nested expressions that require careful handling. Solving such an equation typically involves a systematic approach of simplifying, combining like terms, and applying inverse operations. Students may need to use techniques like clearing fractions, factoring, or applying the zero product property. This type of problem enhances students' ability to tackle complex algebraic structures and reinforces the importance of maintaining equation balance throughout the solving process. It also provides an opportunity to practice checking solutions, as complex equations can sometimes lead to extraneous solutions that need to be verified in the context of the original equation.

For a complete collection of math examples related to Solving Equations with One Variable click on this link: Math Examples: Solving Equations with One Variable Collection.

Common Core Standards CCSS.MATH.CONTENT.6.EE.B.7, CCSS.MATH.CONTENT.7.EE.B.4.A
Grade Range 6 - 8
Curriculum Nodes Algebra
    • Expressions, Equations, and Inequalities
        • Solving Multistep Equations
        • Solving One-Step Equations
        • Solving Two-Step Equations
Copyright Year 2013
Keywords variable, equation, solution, two-step equation