Definition--Equation Concepts--Isolating the Variable
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Algebra >> Expressions, Equations, and Inequalities >> Variables and Unknowns

Definition--Equation Concepts--Isolating the Variable

Isolating the Variable

Isolating the Variable

Topic

Equations

Definition

Isolating the variable involves manipulating an equation to get the variable alone on one side.

Description

Isolating the variable is a fundamental technique in algebra used to solve equations. It involves performing operations to both sides of an equation to get the variable by itself. For example, solving 

2x + 3 = 7

involves subtracting 3 and then dividing by 2 to isolate x, resulting in x = 2.

This technique is widely used in real-world applications such as calculating unknown quantities in physics and engineering problems. Understanding how to isolate variables helps students solve equations efficiently and develop algebraic manipulation 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
        • Variables and Unknowns
Copyright Year 2021
Keywords equations, solving equations, definitions, glossary terms