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2529d988-d7b5-47da-95e0-089a7dc4f4ef.html
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<em><strong>
<p>Students will complete the following questions to practice the skills they have learned in this lesson.</p>
</strong></em>
<ol class="os-raise-noindent">
<li>Which of the following is equivalent to \(10^2−12^2\)?</li>
</ol>
<ul class="os-raise-noindent">
<li> \((10 + 12)(10 + 12)\) </li>
<li> \((10 − 12)(10 − 12)\) </li>
<li> \((10 −12)^2\) </li>
<li> \((10 + 12)(10 − 12)\) </li>
</ul>
<p><strong>Answer:</strong> \((10 + 12)(10 − 12)\)</p>
<p>For questions 2–10, select the expression in factored form.</p>
<ol class="os-raise-noindent" start="2">
<li>\(c^2 − 25\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \(c(c − 25)\) </li>
<li> \((c − 5)(c − 5)\) </li>
<li> \((c − 5)(c + 5)\) </li>
<li> \((c + 5)(c + 5)\) </li>
</ul>
<p><strong>Answer:</strong> \((c − 5)(c + 5)\)</p>
<ol class="os-raise-noindent" start="3">
<li>\(9w^2 − 121\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \((3w − 11)(3w + 11)\) </li>
<li> \((3w + 11)(3w + 11)\) </li>
<li> \(w(9w − 121)\) </li>
<li> \((3w − 11)(3w − 11)\) </li>
</ul>
<p><strong>Answer:</strong> \((3w − 11)(3w + 11)\)</p>
<ol class="os-raise-noindent" start="4">
<li>\(h^2− 121\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \((h − 11)^2\) </li>
<li> \((h − 11)(h + 11)\) </li>
<li> \((h − 11)(h − 11)\) </li>
<li> \((h + 11)(h + 11)\) </li>
</ul>
<p><strong>Answer:</strong> \((h − 11)(h + 11)\)</p>
<ol class="os-raise-noindent" start="5">
<li>\(64 − d^2\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \((8 − d)(8 − d)\) </li>
<li> \((8 − d)(8 + d)\) </li>
<li> \((8 + d)(8 + d)\) </li>
<li> Not possible </li>
</ul>
<p><strong>Answer:</strong> \((8 − d)(8 + d)\)</p>
<ol class="os-raise-noindent" start="6">
<li>\(4b^2 − 25\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \((2b − 5)(2b + 5)\) </li>
<li> \((2b − 5)(2b − 5)\) </li>
<li> \(b(4b − 25)\) </li>
<li> \((2b + 5)(2b + 5)\) </li>
</ul>
<p><strong>Answer:</strong> \((2b − 5)(2b + 5)\)</p>
<ol class="os-raise-noindent" start="7">
<li>\(49 − 81z^2\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \((7 + 9z)(7 + 9z)\) </li>
<li> \((7 − 9z)(7 − 9z)\) </li>
<li> \(z(49 − 81z)\) </li>
<li> \((7 − 9z)(7 + 9z)\) </li>
</ul>
<p><strong>Answer:</strong> \((7 − 9z)(7 + 9z)\)</p>
<ol class="os-raise-noindent" start="8">
<li>\(100y^2−4\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \((10y + 2)(10y + 2)\) </li>
<li> \((10y − 2)(10y + 2)\) </li>
<li> \((10y − 2)(10y − 2)\) </li>
<li> Not possible </li>
</ul>
<p><strong>Answer:</strong> \((10y − 2)(10y + 2)\)</p>
<ol class="os-raise-noindent" start="9">
<li>\(x^2+9\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \((x − 3)(x − 3)\) </li>
<li> \((x − 3)(x + 3)\) </li>
<li> \((x + 3)(x + 3)\) </li>
<li> Not possible </li>
</ul>
<p><strong>Answer:</strong> Not possible</p>
<ol class="os-raise-noindent" start="10">
<li>\(144 − 16g^2\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \((12 − 4g)(12 + 4g)\) </li>
<li> \((12 + 4g)(12 + 4g)\) </li>
<li> \((12 − 4g)(12 − 4g)\) </li>
<li> Not possible </li>
</ul>
<p><strong>Answer:</strong> \((12 − 4g)(12 + 4g)\)</p>