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140e00ef-fdd9-4598-81cf-bfac3c3e5f95.html
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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 - 2, decide whether each statement is true or false.</p>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="4f11f77f-d5ae-445e-9d7f-6455fe1274f3" 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="a0bf2041-1f13-4d4f-89ca-4d2cb952cfe9" data-problem-type="dropdown" data-retry-limit="1" data-solution="False" data-solution-options='["True", "False"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>\(x(x−5)=0\) has only one solution.</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 8.5.1. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is false. </p>
</div>
</div>
<!--2-->
<div class="os-raise-ib-pset-problem" data-content-id="159a7839-3a9d-41c2-a0d4-9f73ec86a309" data-problem-type="dropdown" data-retry-limit="1" data-solution="True" data-solution-options='["True", "False"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>A solution to \(x^2−49=0\) is \(x=-7\).</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 8.5.1.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is true. </p>
</div>
</div>
<!--3-->
<div class="os-raise-ib-pset-problem" data-content-id="98a10022-effb-4842-be8b-8f084b7d2334" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="Two solutions; \(x=-1\) and \(x=0\)" data-solution-options='["No solution", "One solution; \\(x=1\\)", "Two solutions; \\(x=1\\) and \\(x=0\\)", "Two solutions; \\(x=-1\\) and \\(x=0\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>Use graphing technology to determine the number of solutions for the equation \((x-4)(x+5)=−20\). Then find any solutions.</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 8.5.2. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is two solutions; \(x=-1\) and \(x=0\).
</p>
</div>
</div>
<!--4-->
<div class="os-raise-ib-pset-problem" data-content-id="847dfb24-e2e5-44bb-9273-ea927ba44d16" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="Two solutions; \(x=-3\) and \(x=-4\)" data-solution-options='["No solution", "Two solutions; \\(x=-3\\) and \\(x=4\\)", "Two solutions; \\(x=-3\\) and \\(x=-4\\)", "Two solutions; \\(x=3\\) and \\(x=4\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>Use graphing technology to determine the number of solutions for the equation \((x+2)(x+5)=−2\). Then find any solutions.</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 8.5.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is two solutions; \(x=-3\) and \(x=-4\).
</p>
</div>
</div>
<!--5-->
<div class="os-raise-ib-pset-problem" data-content-id="37837e93-07f1-4768-b99a-0b78ecccaa74" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x=0\) and \(x=6\)" data-solution-options='["\\(x=0\\) and \\(x=-6\\)", "\\(x=6\\)", "\\(x=0\\) and \\(x=6\\)", "\\(x=6\\) and \\(x=-6\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>For questions 5–8, choose the best method to solve the equation and then use the method to find the solution.</p>
<ol class="os-raise-noindent" start="5">
<li>\(x(x−6)=0\)</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 8.5.3. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x=0\) and \(x=6\).
</p>
</div>
</div>
<!--6-->
<div class="os-raise-ib-pset-problem" data-content-id="859ba865-6cf5-439c-b0cc-27f65b66fde6" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x=12\) and \(x=-4\)" data-solution-options='["\\(x=-4\\) and \\(x=4\\)", "\\(x=-12\\) and \\(x=4\\)", "\\(x=-8\\) and \\(x=8\\)", "\\(x=12\\) and \\(x=-4\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>\(\frac {1}{2}(x−4)^2=32\)</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 8.5.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x=12\) and \(x=-4\).
</p>
</div>
</div>
<!--7-->
<div class="os-raise-ib-pset-problem" data-content-id="a69c26e7-c3bd-4111-9ccf-d73f7be56067" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x=-6\) and \(x=1\)" data-solution-options='["\\(x=-7\\) and \\(x=2\\)", "\\(x=-8\\) and \\(x=-1\\)", "\\(x=-6\\) and \\(x=1\\)", "No solutions"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li>\((x+7)(x−2)=−8\)</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 8.5.3. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x=-6\) and \(x=1\).
</p>
</div>
</div>
<!--8-->
<div class="os-raise-ib-pset-problem" data-content-id="3329b76a-990f-408f-89f2-5cc0f61d140e" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x=-2.5\)" data-solution-options='["\\(x=-2.5\\)", "\\(x=-3\\) and \\(x=-2\\)", "\\(x=-5\\) and \\(x=-1\\)", "No solutions"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>\((x−4)(x+9)=−42.25\)</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 8.5.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x=-2.5\).
</p>
</div>
</div>
<!--9-->
<div class="os-raise-ib-pset-problem" data-content-id="cff10a24-8cb6-44bb-9473-230b868cb91f" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="The equation has no solutions." data-solution-options='["The solutions are \\(x=0\\) and \\(x=6\\).", "The solution is \\(x=6\\).", "The solutions are \\(x=6\\) and \\(x=-6\\).", "The equation has no solutions."]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>Which statement is true of the equation \(x^2+36=0\)?</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 8.5.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is the equation has no solutions. </p>
</div>
</div>
<!--10--->
<div class="os-raise-ib-pset-problem" data-content-id="4a2456ec-5131-48ff-a1c9-d72b16b89db0" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="The solutions are \(x=0\) and \(x=-9\)." data-solution-options='["The solution is \\(x=-9\\).", "The solutions are \\(x=0\\) and \\(x=-9\\).", "The solutions are \\(x=9\\) and \\(x=-9\\).", "The equation has no solutions."]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="10">
<li>Which statement is true of the equation \(x^2+9x=0\)?</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 8.5.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is the solutions are \(x=0\) and \(x=-9\).
</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>