Definition--Equation Concepts--Identity Equation
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Algebra >> Expressions, Equations, and Inequalities >> Applications of Equations and Inequalities

Definition--Equation Concepts--Identity Equation

Identity Equation

Identity Equation

Topic

Equations

Definition

An identity equation is true for all values of the variable(s).

Description

Identity equations are equations that hold true for all values of the variable(s). For example, the equation 

2(x + 1) = 2x + 2 

is an identity because it is true for any value of x. These equations are used to express mathematical identities and properties. In the equation above, the identity results from the use of the distributive property.

In real-world applications, identity equations help in simplifying expressions and proving mathematical theorems. Understanding identity equations is essential for students to recognize universal truths in mathematics and apply them in various contexts.

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 2014
Keywords equations, solving equations, definitions, glossary terms