<h2>Key Concepts</h2>
<ul data-bullet-style="bullet">
<li><strong>How to determine whether a number is a solution to an equation.</strong>
<ul data-bullet-style="open-circle" style="list-style-type: square;">
<li>Step 1. Substitute the number for the variable in the equation.</li>
<li>Step 2. Simplify the expressions on both sides of the equation.</li>
<li>Step 3. Determine whether the resulting equation is true.

<ul data-bullet-style="none">
<li>If it is true, the number is a solution.</li>
<li>If it is not true, the number is not a solution.</li>
</ul>
</li>
</ul>
</li>
<li><strong>Properties of Equalities</strong>
<table data-label="" summary="This is a table with two columns. The first column is labeled subtraction property of equality. The second column is labeled addition property of equality. In the row under the first column, subtraction property of equality, it states for any numbers, a, b, and c, if a equals b, then a minus c equals b minus c. In the row under the second column, addition property of equality, it states for any numbers a, b, and c, if a equals b, then a plus c">
<thead>
<tr>
<th>Subtraction Property of Equality</th>
<th>Addition Property of Equality</th>
</tr>
</thead>
<tbody>
<tr>
<td>\(\text{For any numbers}\phantom{\rule{0.2em}{0ex}}a,b,c,\)

<div> </div>

\(\text{if}\phantom{\rule{0.2em}{0ex}}a=b\phantom{\rule{0.2em}{0ex}}\text{then}\phantom{\rule{0.2em}{0ex}}a-c=b-c.\)</td>
<td>\(\text{For any numbers}\phantom{\rule{0.2em}{0ex}}a,b,c,\)

<div> </div>

\(\text{if}\phantom{\rule{0.2em}{0ex}}a=b\phantom{\rule{0.2em}{0ex}}\text{then}\phantom{\rule{0.2em}{0ex}}a+c=b+c.\)</td>
</tr>
</tbody>
</table>
</li>
<li><strong>Division Property of Equality</strong>
<ul style="list-style-type: square;">
<li>For any numbers \(a,b,c,\) and \(c\ne 0\)

<div> </div>

If \(a=b\), then \(\frac{a}{c}=\frac{b}{c}\).</li>
</ul>
</li>
</ul>
<figure data-label="">
<p> </p>
</figure>

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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

Explore the world of integers, learn to locate numbers on the number line, find opposites, simplify expressions with absolute value, model addition, subtraction, multiplication, and division of integers, and solve equations using properties of equality in this tutorial.


Key Concepts

Key Concepts

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