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Definition--Equation Concepts--Solution

Solution

Solution

Topic

Equations

Definition

A solution is the value(s) of the variable(s) that satisfy an equation.

Description

The concept of solution is fundamental in equations, referring to the values that make the equation true. For example, in the equation 

x + 2 = 5

the solution is x = 3 because substituting 3 in place of x results in a true statement. Solutions can exist for various types of equations, whether single-variable, multi-variable, linear, or nonlinear.

In real-world applications, finding solutions to equations allows individuals to solve problems in diverse fields such as engineering, economics, and science. Understanding how to find solutions is essential in mathematics, as it empowers students to approach and tackle complex problems systematically. Solutions play a crucial role in mathematical modeling, data analysis, and decision-making scenarios. Thus, mastery of identifying and interpreting solutions enhances students’ mathematical literacy and critical thinking skills.

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