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d1fff94a-58ba-4e42-936c-5805b3f60216.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>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="ddfc55eb-e47c-429f-8110-93a773d36c11" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<!--q1-->
<div class="os-raise-ib-pset-problem" data-content-id="c71e7ef2-74df-4658-9a44-e9c3c913a8a2" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="2 solutions; \(x=4\) and \(x=-4\)" data-solution-options='["0 solutions", "1 solution; \\(x=4\\)", "2 solutions; \\(x=4\\) and \\(x=-4\\)", "2 solutions; \\(x=12\\) and \\(x=-12\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>For questions 1 - 2, determine the number of solutions. Then solve the equation.</p>
<ol class="os-raise-noindent">
<li>\(3x^2=48\)</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 8.3.1. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is two solutions; \(x=4\) and \(x=-4\). </p>
</div>
</div>
<!--q2-->
<div class="os-raise-ib-pset-problem" data-content-id="8133ca1e-ea57-40c5-ac3c-74388fe6fc6c" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="1 solution; \(x=-2\)" data-solution-options='["0 solutions", "1 solution; \\(x=-2\\)", "1 solution; \\(x=2\\)", "2 solutions; \\(x=2\\) and \\(x=-2\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>\((x+2)(x+2)=0\)</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 8.3.1.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is one solution; \(x=-2\). </p>
</div>
</div>
<!--q3-->
<div class="os-raise-ib-pset-problem" data-content-id="41b5f66f-90c1-413f-9e3a-6007000edeea" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(m=3\) and \(m=-3\)" data-solution-options='["\\(m=3\\) and \\(m=-3\\)", "\\( m=3\\)", "\\( m=9\\) and \\(m=-9\\)", "\\(m=2\\) and \\(m=-2\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>For questions 3–10, solve the quadratic equation.</p>
<ol class="os-raise-noindent" start="3">
<li>\(4m^2=36\)</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 activities 8.3.2 and 8.3.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(m=3\) and \(m=-3\). </p>
</div>
</div>
<!--Q4-->
<div class="os-raise-ib-pset-problem" data-content-id="9d2defef-d0de-4715-b977-fb1f2cce5468" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(d=5\) and \(d=-5\)" data-solution-options='["\\(d=5\\) and \\(d=-5\\)", "\\(d=5\\)", "\\(d=-5\\)", "\\(d=25\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>\(d^2-25=0\)</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 activities 8.3.2 and 8.3.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(d = 5\) and \(d = -5\). </p>
</div>
</div>
<!--Q5-->
<div class="os-raise-ib-pset-problem" data-content-id="3b3a88e1-ee15-4f86-bd00-3f793f0c65d1" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(z=9\) and \(z=-9\)" data-solution-options='["\\(z=6\\) and \\(z=-6\\)", "\\(z=7\\) and \\(z=-9\\)", "\\(z=9\\) and \\(z=-9\\)", "\\(z=7\\) and \\(z=-7\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>\(\frac{2}{3}z^2=54\)</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 activities 8.3.2 and 8.3.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(z=9\) and \(z=-9\). </p>
</div>
</div>
<!--q6-->
<div class="os-raise-ib-pset-problem" data-content-id="77e0882d-16e7-4b13-b56f-6677ede5e696" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(p=8\) and \(p=-8\)" data-solution-options='["\\(p=18\\) and \\(p=-18\\)", "\\(p=12\\) and \\(p=-12\\)", "\\(p =16\\) and \\(p=-16\\)", "\\(p=8\\) and \\(p=-8\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>\(4p^2+10=266\)</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 activities 8.3.2 and 8.3.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(p=8\) and \(p=-8\). </p>
</div>
</div>
<!--q7-->
<div class="os-raise-ib-pset-problem" data-content-id="6feca9eb-d756-4000-8edd-4f088dd1c31a" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(a=17\) and \(a=-3\)" data-solution-options='["\\(a=17\\) and \\(a=-3\\)", "\\(a=-17\\) and \\(a=3\\)", "\\(a=-10\\) and \\(a=10\\)", "\\(a=3\\) and \\(a=-3\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li>\((a−7)^2+5=105\)</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 activities 8.3.3 and 8.3.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(a=17\) and \(a=-3\). </p>
</div>
</div>
<!--q8-->
<div class="os-raise-ib-pset-problem" data-content-id="45a90896-1755-48af-b75f-11307359e21c" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(b=9\) and \(b=-7\)" data-solution-options='["\\(b=9\\) and \\(b=-9\\)", "\\(b=8\\) and \\(b=-8\\)", "\\(b=9\\) and \\(b=-7\\)", "\\(b=-9\\) and \\(b=7\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>\((b−1)^2−9=55\)</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 activities 8.3.3 and 8.3.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(b =9\) and \(b=-7\). </p>
</div>
</div>
<!--q9-->
<div class="os-raise-ib-pset-problem" data-content-id="c22605f5-d305-48f1-85f7-248c039ca492" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x=4\) and \(x=-10\)" data-solution-options='["\\(x=-4\\) and \\(x=10\\)", "\\(x=4\\) and \\(x=-10\\)", "\\(x=-4\\) and \\(x=4\\)", "\\(x=-2\\) and \\(x=12\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>\(\frac17(x+3)^2−5=2\)</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 activities 8.3.3 and 8.3.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x=4\) and \(x=-10\). </p>
</div>
</div>
<div class="os-raise-ib-pset-problem" data-content-id="1e9bfb23-6bef-4dc8-89f1-e2f77672912b" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x=13\) and \(x=3\)" data-solution-options='["\\(x=13\\) and \\(x=3\\)", "\\(x=-3\\) and \\(x=-13\\)", "\\(x=5\\) and \\(x=-5\\)", "\\(x=5\\) and \\(x=-11\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="10">
<li>\(5(x−8)^2−7=118\)</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 activities 8.3.3 and 8.3.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x=13\) and \(x=3\). </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>