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<h3> Warm Up (5 minutes)</h3>
<p>This warm up allows students to practice writing equivalent expressions. It prepares students to use this skill as they work with complex expressions arising from linear and exponential functions in this lesson.</p>
<p>For each given expression, write an equivalent expression with as few terms as possible. Double click on mathematical expressions/equations to enlarge. If needed, use the “^” symbol to enter an exponent.</p>
<ol class="os-raise-noindent">
  <li>\(
    7p&minus;3+2(p+1)\) <br>
    <br>
    <strong>Answer:</strong> \(9p&minus;1\) <br>
    <br>
  </li>
  <li> \(\lbrack 4(n+1)+10 \rbrack&minus;4(n+1)\) <br>
    <br>
    <strong>Answer:</strong> \(
    10\) <br>
    <br>
  </li>
  <li> \(9^5 \cdot 9^2 \cdot 9^x\) <br>
    <br>
    <strong>Answer:</strong> \(9^{7+x}
    \)<br>
    <br>
  </li>
  <li>\(\frac{
    2^{4n}}{2^n}\) <br>
    <br>
    <strong>Answer:</strong> \(2^{3n}\)
  </li>
</ol>
<h4>Activity Synthesis</h4>
<p>Invite students to share how they manipulated the expressions. If not already mentioned in students&rsquo; explanations, bring up how arithmetic properties of operations (distributive, commutative) and properties of exponents come into play in writing equivalent expressions.</p>