<h2>Key Concepts</h2>
<ul>
<li><strong>Determine whether a number is a solution to an equation.</strong>
<ul style="list-style-type: square;">
<li>Substitute the number for the variable in the equation.</li>
<li>Simplify the expressions on both sides of the equation.</li>
<li>Determine whether the resulting equation is true.

<div> </div>

If so, the number is a solution.

<div> </div>

If not, the number is not a solution.</li>
</ul>
</li>
<li><strong>Properties of Equality</strong></li>
</ul>
<table summary=".">
<tbody>
<tr>
<td><strong>Subtraction Property of Equality</strong></td>
<td><strong>Addition Property of Equality</strong></td>
</tr>
<tr>
<td>For any numbers \(a\), \(b\), and \(c\),

<div> </div>
<p>\(\text{If } a = b\)<br/>
\(\text{then } a − c = b − c\)</p>
</td>
<td>For any numbers \(a\), \(b\), and \(c\),

<div> </div>

\(\text{If } a = b\)<br/>
\(\text{then } a + c = b + c\)</td>
</tr>
<tr>
<td><strong>Division of Property of Equality</strong></td>
<td><strong>Multiplication Property of Equality</strong></td>
</tr>
<tr>
<td>For any numbers \(a\), \(b\), and \(c\ne 0\),

<div> </div>

\(\text{If } a = b\)<br/>
\(\text{then } \frac{a}{c} = \frac{b}{c}\)</td>
<td>For any numbers \(a\), \(b\), and \(c\),

<div> </div>

\(\text{If } a = b\)<br/>
\(\text{then } a⋅c = b⋅c\)</td>
</tr>
</tbody>
</table>

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Key Concepts

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Mathematics

Learn how to perform various operations with decimals, such as converting them to fractions, rounding, ordering, and using them in different applications like money and equations, and explore key concepts such as averages, probability, and simplifying expressions with square roots.


Subtraction Property of Equality	Addition Property of Equality
For any numbers \(a\), \(b\), and \(c\), \(\text{If } a = b\) \(\text{then } a − c = b − c\)	For any numbers \(a\), \(b\), and \(c\), \(\text{If } a = b\) \(\text{then } a + c = b + c\)
Division of Property of Equality	Multiplication Property of Equality
For any numbers \(a\), \(b\), and \(c\ne 0\), \(\text{If } a = b\) \(\text{then } \frac{a}{c} = \frac{b}{c}\)	For any numbers \(a\), \(b\), and \(c\), \(\text{If } a = b\) \(\text{then } a⋅c = b⋅c\)

Key Concepts

Key Concepts

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