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111d51f8-9e64-4643-b54d-c86a79ecc8c4.html
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<h4>Warm Up Activity</h4>
<p>Decide whether each statement is true or false.</p>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="f89d3e28-cd75-4b37-b50b-01146a52c286" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<!--Q1-->
<div class="os-raise-ib-pset-problem" data-content-id="6992756e-5681-457f-b6a7-c2e9550f74e2" data-problem-type="dropdown" data-solution="False" data-solution-options='["True", "False"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>3 is the only solution to \(x^2−9=0\).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! False. There are two solutions because there are two numbers that can be squared to get 9. Both 3 and –3 are possible solutions.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>False. There are two solutions because there are two numbers that can be squared to get 9. Both 3 and –3 are possible solutions.</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q2-->
<div class="os-raise-ib-pset-problem" data-content-id="4f56e224-75d6-447b-8675-412ccf6c4c52" data-problem-type="dropdown" data-solution="False" data-solution-options='["True", "False"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>A solution to \(x^2+25=0\) is –5. </li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! False. There is no solution to \(x^2+25=0\) because no real number can be squared to get –25.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>False. There is no solution to \(x^2+25=0\) because no real number can be squared to get –25.</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q3-->
<div class="os-raise-ib-pset-problem" data-content-id="a84ff741-2f65-4dcd-a5eb-bc0584d6f53a" data-problem-type="dropdown" data-solution="True" data-solution-options='["True", "False"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>\(x(x−7)=0\) has two solutions.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! True. There are two factors, 0 and 7, that could make the product of the expression 0.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>True. There are two factors, 0 and 7, that could make the product of the expression 0.</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q4-->
<div class="os-raise-ib-pset-problem" data-content-id="e4012223-6761-4182-9aa8-3f81e734d6b5" data-problem-type="dropdown" data-solution="False" data-solution-options='["True", "False"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>5 and –7 are the solutions to \((x−5)(x+7)=12\).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! False. The product of the two factors is not 0, so we cannot solve it using the zero product property (which gives 5 and –7 as solutions). If we evaluate the expression \((x−5)(x+7)\) at those two values, the result will be 0, not 12.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>False. The product of the two factors is not 0, so we cannot solve it using the zero product property (which gives 5 and –7 as solutions). If we evaluate the expression \((x−5)(x+7)\) at those two values, the result will be 0, not 12.</p>
</div>
</div>
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>