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ac82e0ca-3a8d-4e00-abaa-aa79e2ae257f.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>
<p>For questions 1–5, solve each quadratic equation by rewriting it in factored form and using the zero product property.</p>
<ol class="os-raise-noindent">
<li>\(x^2 + 11x + 35 = 7\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \(x = -4\) and \(x = -7\) </li>
<li> \(x = -6\) and \(x = -7\) </li>
<li> \(x = 14\) and \(x = -3\) </li>
<li> \(x = -5\) and \(x = -7\) </li>
</ul>
<p><strong>Answer:</strong> \(x = -4\) and \(x = -7\)</p>
<ol class="os-raise-noindent" start="2">
<li>\(x^2− 14x + 20 = -25\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \(x = 3\) and \(x = 15\) </li>
<li> \(x = 10\) and \(x = 2\) </li>
<li> \(x = -10\) and \(x = -4\) </li>
<li> \(x = 9\) and \(x = 5\) </li>
</ul>
<p><strong>Answer:</strong> \(x = 9\) and \(x = 5\)</p>
<ol class="os-raise-noindent" start="3">
<li>\(x^2− 6x − 52 = -12\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \(x = -16\) and \(x = 10\) </li>
<li> \(x = 8\) and \(x = -8\) </li>
<li> \(x = 10\) and \(x = -4\) </li>
<li> \(x = -8\) and \(x = 5\) </li>
</ul>
<p><strong>Answer:</strong> \(x = 10\) and \(x = -4\)</p>
<ol class="os-raise-noindent" start="4">
<li>\(x^2 − x − 64 = -8\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \(x = 8\) and \(x = -8\) </li>
<li> \(x = -7\) and \(x = 8\) </li>
<li> \(x = 28\) and \(x = -2\) </li>
<li> \(x = 4\) and \(x = -14\) </li>
</ul>
<p><strong>Answer:</strong> \(x = -7\) and \(x = 8\)</p>
<ol class="os-raise-noindent" start="5">
<li>\(x^2 + 9x + 13 = -5\)</li>
</ol>
<ul class="os-raise-noindent">
<li> \(x = -3\) and \(x = -6\) </li>
<li> \(x = -9\) and \(x = -2\) </li>
<li> \(x = 8\) and \(x = 1\) </li>
<li> \(x = 3\) and \(x = 6\) </li>
</ul>
<p><strong>Answer:</strong> \(x = -3\) and \(x = -6\)</p>
<ol class="os-raise-noindent" start="6">
<li>Without graphing, identify the function whose graph has only one zero.</li>
</ol>
<ul class="os-raise-noindent">
<li> \(f(x) = x^2− 9\) </li>
<li> \(f(x) = x^2− 13x + 42\) </li>
<li> \(f(x) = x^2 + 6x + 5\) </li>
<li> \(f(x) = x^2 − 8x + 16\) </li>
</ul>
<p><strong>Answer:</strong> \(f(x) = x^2 − 8x + 16\)</p>
<ol class="os-raise-noindent" start="7">
<li>Without graphing, identify the function whose graph has only one zero.</li>
</ol>
<ul class="os-raise-noindent">
<li> \(f(x) = x^2+ 7x − 30\) </li>
<li> \(f(x) = x^2+ x − 30\) </li>
<li> \(f(x) = x^2+ 12x + 36\) </li>
<li> \(f(x) = x^2 − 10x + 9\) </li>
</ul>
<p><strong>Answer:</strong> \(f(x) = x^2+ 12x + 36\)</p>
<ol class="os-raise-noindent" start="8">
<li>Without graphing, identify the function whose graph has two zeros.</li>
</ol>
<ul class="os-raise-noindent">
<li> \(f(x) = x^2− 81\) </li>
<li> \(f(x) = x^2− 8x + 16\) </li>
<li> \(f(x) = x^2+ 8x + 16\) </li>
<li> \(f(x) = x^2− 12x + 36\) </li>
</ul>
<p><strong>Answer:</strong> \(f(x) = x^2− 81\)</p>
<ol class="os-raise-noindent" start="9">
<li>Without graphing, identify the function whose graph has two zeros.</li>
</ol>
<ul class="os-raise-noindent">
<li> \(f(x) = x^2− 10x + 25\) </li>
<li> \(f(x) = x^2+ 4x − 21\) </li>
<li> \(f(x) = x^2+16x + 64\) </li>
<li> \(f(x) = x^2− 14x + 49\) </li>
</ul>
<p><strong>Answer:</strong> \(f(x) = x^2+ 4x − 21\)</p>
<ol class="os-raise-noindent" start="10">
<li>Solve the equation: \(x^2− 18x + 90 = 9\).</li>
</ol>
<ul class="os-raise-noindent">
<li> \(x = -9\) </li>
<li> \(x = -9\) and \(x=9\) </li>
<li> \(x= -10\) and \(x=8\) </li>
<li> \(x=9\) </li>
</ul>
<p><strong>Answer:</strong> \(x=9\)</p>