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Math Example--Solving Equations--One-Variable Equations: Example 3

One-Variable Equations: Example 3

One-Variable Equations: Example 3

Topic

Equations

Description

This example focuses on solving a linear equation with one variable that may include fractions or decimals. Such equations require additional steps to clear fractions by multiplying through by a common denominator or decimals by multiplying by powers of ten. The goal is to convert the equation into a simpler form, often a standard linear equation, before isolating the variable. For example, an equation like (a/b)x + c = d would involve multiplying every term by b to eliminate the fraction. This example underscores the necessity of precision in handling fractions and decimals, as small errors can lead to incorrect solutions. Solving these equations enhances one's ability to deal with diverse mathematical expressions encountered in practical applications.

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, one-step equation