<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-words-to-algebra-iii" target="_blank">Words to Algebra III Exercise</a></p>
<p><strong>Note</strong>: in the second problem presented in the video (about the bank of questions on a website), the answer is 1406, not 1410. See <a href="https://forums.gregmat.com/t/can-someone-correct-my-approach/42904" target="_blank">this forum post</a> for more details.</p><p><span style="color:#27ae60;">Words to Algebra II (Equal to, Powers, Decimal Movement)</span></p>
<p>Below you'll find a list of words and phrases that mean <strong><span style="color:#8e44ad;">equal to</span> </strong>in an algebraic word problem:</p>
<table border="1" cellpadding="1" cellspacing="1" style="width:500px;">
<tbody>
<tr>
<td>amounts to</td>
<td>equivalent</td>
<td>is proportional to</td>
</tr>
<tr>
<td>results in</td>
<td>is</td>
<td>the same as</td>
</tr>
<tr>
<td>equates to</td>
<td>corresponds to</td>
<td>yields</td>
</tr>
</tbody>
</table>
<p>Below you'll find a list of words and phrases that mean <strong><span style="color:#8e44ad;">powers</span></strong> in an algebraic word problem:</p>
<table border="1" cellpadding="1" cellspacing="1" style="width:500px;">
<tbody>
<tr>
<td>squared</td>
<td>cubed</td>
</tr>
<tr>
<td>raised to</td>
<td>to the $n$th power</td>
</tr>
</tbody>
</table>
<p>With regard to <strong><span style="color:#8e44ad;">decimal movement</span></strong>, the following rules apply:</p>
<ul>
<li>moving a decimal $n$ places to the right................$\times 10^n$</li>
<li>moving a decimal $n$ places to the left..................$\div 10^n$</li>
</ul>