# 3.1: One-Step Equations and Inverse Operations

Difficulty Level:

**Basic**Created by: CK-12
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Addition Property of Equality

Addition Property of Equality

For all real numbers and : If , then .equivalent equation

equivalent equation

By applying the same inverse operations to each side of an equation, you create an**equivalent equation**.

**Equivalent equations**are two or more equations having the same solution.

inverse operation

inverse operation

Each of these operations has an**inverse.**Inverse operations

**each other when combined.**

*undo*Multiplication Property of Equality

Multiplication Property of Equality

For all real numbers , and :*If*,

*then*

one-step equations

one-step equations

Equations that take one step to isolate the variable. Such equations can also involve multiplication or division.solving equations

solving equations

To**solve**an equation means to write an equivalent equation that has the variable by itself on one side. This is also known as

**isolating the variable.**

constant

constant

A constant is a value that does not change. In Algebra, this is a number such as 3, 12, 342, etc., as opposed to a variable such as*x, y*or

*a*.

Equation

Equation

An equation is a mathematical sentence that describes two equal quantities. Equations contain equals signs.Numerical Coefficient

Numerical Coefficient

In mathematical expressions, the numerical coefficients are the numbers associated with the variables. For example, in the expression , 4 is the numerical coefficient and is the variable.Variable

Variable

A variable is a symbol used to represent an unknown or changing quantity. The most common variables are a, b, x, y, m, and n.### Image Attributions

## Description

Learn how to solve one-step equations.

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Basic## Tags:

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## Date Created:

Feb 24, 2012## Last Modified:

Aug 20, 2015## Vocabulary

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