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Definition--Equation Concepts--Solving an Equation

Solving an Equation

Solving an Equation

Topic

Equations

Definition

Solving an equation involves finding the value(s) of the variable(s) that make the equation true.

Description

Solving an equation is a key skill in algebra, where one determines the values of variables that satisfy the equation. For example, in the equation 

2x + 3 = 7

one can find that x = 2 by isolating the variable through algebraic manipulations. Different techniques such as substitution, factoring, or using the quadratic formula may apply depending on the complexity of the equation.

In real-world scenarios, solving equations is significant in various fields including science, engineering, and economics, as it allows for problem-solving and decision-making. The ability to solve equations enhances critical thinking skills and empowers students to model and address real-world issues using mathematical frameworks.

For a complete collection of terms related to functions and relations click on this link: Functions and Relations Collection

Common Core Standards CCSS.MATH.CONTENT.6.EE.B.5, CCSS.MATH.CONTENT.7.EE.B.4, CCSS.MATH.CONTENT.HSA.REI.A.1
Grade Range 6 - 12
Curriculum Nodes Algebra
    • Expressions, Equations, and Inequalities
        • Applications of Equations and Inequalities
Copyright Year 2021
Keywords equations, solving equations, definitions, glossary terms