# 3.1: One-Step Equations and Inverse Operations

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**Practice**One-Step Equations and Inverse Operations

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Addition Property of Equality

For all real numbers and : If , then .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

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

**each other when combined.**

*undo*Multiplication Property of Equality

For all real numbers , and :*If*,

*then*

one-step equations

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

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

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

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

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Description

Learn how to solve one-step equations.

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Basic
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Date Created:

Feb 24, 2012
Last Modified:

Aug 16, 2016
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