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<!--Do not edit this div tag. It must surround the interaction block-->
<p>Complete the following questions to practice the skills you have learned in this lesson.</p>
<p>For questions 1–5, solve each quadratic equation by rewriting it in factored form and using the zero product property.</p>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="797dd8b2-a6a3-4dd0-9671-ff7b0031b3eb" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<!--1-->
<div class="os-raise-ib-pset-problem" data-content-id="39ac4015-3c0f-469f-9d92-50f25665caf2" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x = -4\) and \(x = -7\)" data-solution-options='["\\(x = -4\\) and \\(x = -7\\)", "\\(x = -6\\) and \\(x = -7\\)", "\\(x = 14\\) and \\(x = -3\\)", "\\(x = -5\\) and \\(x = -7\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>\(x^2 + 11x + 35 = 7\)</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.9.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x = -4\) and \(x = -7\).
</p>
</div>
</div>
<!--2-->
<div class="os-raise-ib-pset-problem" data-content-id="bc01d2d3-654d-4299-a9bf-ab2cd1a59ca7" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x = 9\) and \(x = 5\)" data-solution-options='["\\(x = 3\\) and \\(x = 15\\)", "\\(x = 10\\) and \\(x = 2\\)", "\\(x = -10\\) and \\(x = -4\\)", "\\(x = 9\\) and \\(x = 5\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>\(x^2− 14x + 20 = -25\)</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.9.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x = 9\) and \(x = 5\).
</p>
</div>
</div>
<!--3-->
<div class="os-raise-ib-pset-problem" data-content-id="e6e8fb88-e85e-47d0-8e44-736e7880a25f" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x = 10\) and \(x = -4\)" data-solution-options='["\\(x = -16\\) and \\(x = 10\\)", "\\(x = 8\\) and \\(x = -8\\)", "\\(x = 10\\) and \\(x = -4\\)", "\\(x = -8\\) and \\(x = 5\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>\(x^2− 6x − 52 = -12\)</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.9.2.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x = 10\) and \(x = -4\).
</p>
</div>
</div>
<!--4-->
<div class="os-raise-ib-pset-problem" data-content-id="e16128f0-fbba-4cb5-b03e-9004f3f6126d" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x = -7\) and \(x = 8\)" data-solution-options='["\\(x = 8\\) and \\(x = -8\\)", "\\(x = -7\\) and \\(x = 8\\)", "\\(x = 28\\) and \\(x = -2\\)", "\\(x = 4\\) and \\(x = -14\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>\(x^2 − x − 64 = -8\)</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.9.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x = -7\) and \(x = 8\).
</p>
</div>
</div>
<!--5-->
<div class="os-raise-ib-pset-problem" data-content-id="1f6011d4-4680-4f06-a947-a1a6a4fb9ad4" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x = -3\) and \(x = -6\)" data-solution-options='["\\(x = -3\\) and \\(x = -6\\)", "\\(x = -9\\) and \\(x = -2\\)", "\\(x = 8\\) and \\(x = 1\\)", "\\(x = 3\\) and \\(x = 6\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>\(x^2 + 9x + 13 = -5\)</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.9.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x = -3\) and \(x = -6\).
</p>
</div>
</div>
<!--6-->
<div class="os-raise-ib-pset-problem" data-content-id="14506be6-f1cd-4c73-8dc7-1026c3b54b75" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(f(x) = x^2 − 8x + 16\)" data-solution-options='["\\(f(x) = x^2− 9\\)", "\\(f(x) = x^2− 13x + 42\\)", "\\(f(x) = x^2 + 6x + 5\\)", "\\(f(x) = x^2 − 8x + 16\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>Without graphing, identify the function whose graph has only one zero.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x) = x^2 − 8x + 16\). </p>
</div>
</div>
<!--7-->
<div class="os-raise-ib-pset-problem" data-content-id="636fec47-b971-4621-aa0b-ab8977ee1b6b" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(f(x) = x^2+ 12x + 36\)" data-solution-options='["\\(f(x) = x^2+ 7x − 30\\)", "\\(f(x) = x^2+ x − 30\\)", "\\(f(x) = x^2+ 12x + 36\\)", "\\(f(x) = x^2 − 10x + 9\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li>Without graphing, identify the function whose graph has only one zero.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.9.3.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x) = x^2+ 12x + 36\).
</p>
</div>
</div>
<!--8-->
<div class="os-raise-ib-pset-problem" data-content-id="65e14f56-ac7d-46fd-82e9-43eb8625935e" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(f(x) = x^2− 81\)" data-solution-options='["\\(f(x) = x^2− 81\\)", "\\(f(x) = x^2− 8x + 16\\)", "\\(f(x) = x^2+ 8x + 16\\)", "\\(f(x) = x^2− 12x + 36\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>Without graphing, identify the function whose graph has two zeros.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.9.3.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x) = x^2− 81\). </p>
</div>
</div>
<!--9-->
<div class="os-raise-ib-pset-problem" data-content-id="c4a59048-a9e1-4ed7-a225-a804f579731d" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(f(x) = x^2+ 4x − 21\)" data-solution-options='["\\(f(x) = x^2− 10x + 25\\)", "\\(f(x) = x^2+ 4x − 21\\)", "\\(f(x) = x^2+16x + 64\\)", "\\(f(x) = x^2− 14x + 49\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>Without graphing, identify the function whose graph has two zeros.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(f(x) = x^2+ 4x − 21\).
</p>
</div>
</div>
<!--10-->
<div class="os-raise-ib-pset-problem" data-content-id="39a9a1bd-5d3a-4f62-aeb0-f5ab200dc47c" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x=9\)" data-solution-options='["\\(x = -9\\)", "\\(x = -9\\) and \\(x=9\\)", "\\(x= -10\\) and \\(x=8\\)", "\\(x=9\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="10">
<li>Solve the equation: \(x^2− 18x + 90 = 9\).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct!</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 8.9.4.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x=9\).
</p>
</div>
</div>
<!--Do not edit below this line-->
<div class="os-raise-ib-pset-correct-response"> </div>
<div class="os-raise-ib-pset-encourage-response"> </div>
</div>