Princeton Review

Display Title

Definition--Equation Concepts--Equivalent Equations

Equivalent Equations

Equivalent Equations

Topic

Equations

Definition

Equivalent equations are equations that have the same solutions.

Description

Equivalent equations are a key concept in algebra. They may look different but yield the same solutions. For instance, 

2x + 3 = 7

and 

4x + 6 = 14

are equivalent because both have the solution x = 2. Transformations such as addition, subtraction, multiplication, or division can produce equivalent equations.

In real-world applications, equivalent equations are used to simplify complex problems and verify solutions. Understanding equivalent equations helps students recognize different forms of the same problem and enhances their problem-solving abilities.

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