Definition--Equation Concepts--Subtraction Property of Equality
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Algebra >> Expressions, Equations, and Inequalities >> Applications of Equations and Inequalities

Definition--Equation Concepts--Subtraction Property of Equality

Subtraction Property of Equality

Subtraction Property of Equality

Topic

Equations

Definition

The Subtraction Property of Equality states that if you subtract the same value from both sides of an equation, the equality remains true.

Description

The Subtraction Property of Equality is a fundamental principle in algebra. It states that for any real numbers a, b, and c, if 

a = b, then a − c = b − c

This property is used to solve equations by isolating variables. For example, to solve 

x + 3 = 7

you subtract 3 from both sides to get x = 4.

This property is applied in various real-world contexts, such as balancing accounts or adjusting quantities. Understanding the Subtraction Property of Equality helps students solve equations and understand the balance of mathematical relationships.

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