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712bff40-d33b-4e0c-ae36-cb6a4de792ee.html
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<h4>Activity</h4>
<p>Here are four equations followed by worked solutions of the equations. Each solution has at least one error.</p>
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="725afd66-b166-4b56-8fae-0201a305538b" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent">
<li>Solve the equation \(x^2+14x=-24\). Then look at the following worked solution (with errors) and find and describe the error or errors in the worked solution.</li>
</ol>
<p>\(\begin{array}{rlr} x^{2}+14 x & =-24 & \text { Step 1 } \\ x^{2}+14 x+28 & =4 & \text { Step 2 } \\ (x+7)^{2} & =4 & \text { Step 3 } \\ x+7 & =2 & \text { Step 4 } \\ x+7 & =-2 & \text { Step 5 } \\ x & =-5 \text { and } x=9 & \text { Step 6 } \\ \end{array} \) </p>
</div>
<div class="os-raise-ib-input-prompt">
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\(x=-2\) and \(x=-12\) </p>
</div>
</div>
<h4>Activity</h4>
<p>Here are four equations followed by worked solutions of the equations. Each solution has at least one error.</p>
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="a5110bb2-1ee6-4583-9c85-472738bc3ffd" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" type="a">
<li>Where was the error made in the worked solution above and what was the error? </li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer: </p>
<p>Error: In Step 2, the number being added, 28, is not a <span class="os-raise-ib-tooltip" data-schema-version="1.0" data-store="glossary-tooltip">perfect square</span>. It should be 49.</p>
</div>
</div>
<br>
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="3a21b348-d478-444e-9a46-4c585e736ce1" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="2">
<li>Solve the equation \(x^2−10x+16=0\). Then look at the following worked solution (with errors) and find and describe the error or errors in the worked solution.</li>
</ol>
<p>\(\begin{array}{rlr} x^{2}-10 x+16 & =0 & \text { Step 1 } \\ x^{2}-10 x+25 & =9 & \text { Step 2 } \\ (x-5)^{2} & =9 & \text { Step 3 } \\ x-5 & =9 & \text { Step 4 } \\ x-5 & =-9 & \text { Step 5 } \\ x=14 & \text { and } x=-4 & \text { Step 6 } \end{array} \) </p>
</div>
<div class="os-raise-ib-input-prompt">
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\(x=8\) and \(x=2\) </p>
</div>
</div>
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="16e9f4d8-6390-4086-9765-83da3289d785" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" type="a">
<li>Where was the error made in the worked solution above and what was the error? </li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer: </p>
<p>Errors: Step 4 should have 3 on the right side, not 9. Step 5 should have -3 on the right side, not -9.</p>
</div>
</div>
<br>
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="842bbdf3-6de0-4f53-a703-1dfe2be8401b" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="3">
<li>Solve the equation \(x^2+2.4x=-0.8\). Then look at the following worked solution (with errors) and find and describe the error or errors in the worked solution.</li>
</ol>
<p>\(\begin{array}{rlr}x^2+2.4x=-0.8\;\;\text{ Step 1}& \\ x^2+2.4x+1.44=0.64\quad\text{Step 2}& \\ (x+1.2)^2=0.64\quad\text{Step 3}& \\ x+1.2=0.8\quad\text{Step 4}& \\ x=-0.4\quad\text{Step 5}&\end{array} \) </p>
</div>
<div class="os-raise-ib-input-prompt">
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\(x=-0.4\) and \(x=-2\) </p>
</div>
</div>
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="42eae669-a512-47ec-891e-19cec0d9c6b6" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" type="a">
<li>Where was the error made in the worked solution above and what was the error? </li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer: </p>
<p>Error: In Step 4, only the positive square root is written and the negative square root is neglected.</p>
</div>
</div>
<br>
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="0f040a87-4334-4ba5-bc3a-147abaf06b8b" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="4">
<li>Solve the equation \(x^2−\frac{6}{5}x+\frac{1}{5}=0\). Then look at the following worked solution (with errors) and find and describe the error or errors in the worked solution.</li>
</ol>
<p>\(\begin{array}{rrr} x^{2}-\frac{6}{5} x+\frac{1}{5} & =0 & \text { Step 1 } \\ x^{2}-\frac{6}{5} x+\frac{9}{25} & =\frac{9}{25} & \text { Step 2 } \\ \left(x-\frac{3}{5}\right)^{2} & =\frac{9}{25} & \text { Step 3 } \\ x-\frac{3}{5} & =\frac{3}{5} & \text { Step 4 } \\ x-\frac{3}{5} & =-\frac{3}{5} & \text { Step 5 } \\ x=\frac{6}{5} & \text { and } x=0 & \text { Step 6 } \end{array}\) </p>
</div>
<div class="os-raise-ib-input-prompt">
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\(x=1\) and \(x=\frac{1}{5}\) </p>
</div>
</div>
<br>
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="0278d0f1-5bd9-4265-8c89-4351ea46a031" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" type="a">
<li>Where was the error made in the worked solution above and what was the error? </li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Write down your answer, then select the <strong>solution</strong> button to compare your work.</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer: </p>
<p>Errors: For example: <br>
In Step 2, different amounts are added to each side. On the left, \(\frac{4}{25}\) is added. On the right, \(\frac{9}{25}\) is added. Or: While \(\frac{9}{25}\) is added on the right side, \(\frac{1}{5}\) was only subtracted from the left side. Other explanations may also be accurate.</p>
</div>
</div>