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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="56f0963a-31c5-4b99-a6dc-1e19eaabb484" 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="530bd03b-738e-44f1-9f19-a6c02f63c76c" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x^2+11x +30\)" data-solution-options='["\\(x^2+10x −30\\)", "\\(x^2+11x +30\\)", "\\(x^2+30\\)", "\\(x^2−11x +30\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>Write \((x + 6)(x + 5)\) in standard form.</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 8.6.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x^2+11x +30\).
</p>
</div>
</div>
<!--q2-->
<div class="os-raise-ib-pset-problem" data-content-id="03e0a71b-2c3f-4d01-812e-4a9860b9a90b" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x^2−10x +21\)" data-solution-options='["\\(x^2+21\\)", "\\(x^2+10x −21\\)", "\\(x^2+10x +21\\)", "\\(x^2−10x +21\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>Write \((x − 3)(x − 7)\) in standard form.</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 8.6.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x^2−10x +21\).
</p>
</div>
</div>
<!--q3-->
<div class="os-raise-ib-pset-problem" data-content-id="c4bad6bf-cc55-40e9-9d7e-b7e546d038aa" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((x + 2)(x + 9)\)" data-solution-options='["\\((x − 2)(x − 9)\\)", "\\((x + 2)(x + 9)\\)", "\\((x + 2)(x − 9)\\)", "\\(x(x + 18)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>An expression in standard form is shown. The diagram below shows it is equivalent to which expression in
factored form?</li>
</ol>
<p>\(x^2+11x +18\)</p>
<br>
<table class="os-raise-doubleheadertable os-raise-skinnytable">
<thead>
<tr>
<th scope="col"> </th>
<th scope="col">
\(x\)
<th scope="col">
2
</th>
</th>
</tr>
</thead>
<tbody>
<tr>
<th scope="row">
\(x\)
</th>
<td>
\(x^2\)
</td>
<td>
\(2x\)
</td>
</tr>
<tr>
<th scope="row">
9
</th>
<td>
\(9x\)
</td>
<td>
18
</td>
</tr>
</tbody>
</table>
</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 8.6.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \((x + 2)(x + 9)\).
</p>
</div>
</div>
<!--q4-->
<div class="os-raise-ib-pset-problem" data-content-id="8e243347-4ac1-4996-93ec-5f2699b7e538" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((x − 5)(x − 7)\)" data-solution-options='["\\((x − 5)(x − 7)\\)", "\\((x − 5)(x + 7)\\)", "\\(x(x − 35)\\)", "\\((x + 5)(x + 7)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>An expression in standard form is shown. The diagram below shows it is equivalent to which expression in
factored form?</li>
</ol>
<p>\(x^2− 12x + 35\)</p>
<br>
<table class="os-raise-doubleheadertable os-raise-skinnytable">
<thead>
<tr>
<th scope="col"> </th>
<th scope="col">
\(x\)
</th>
<th scope="col">
–5
</th>
</tr>
</thead>
<tbody>
<tr>
<th scope="row">
\(x\)
</th>
<td>
\(x^2\)
</td>
<td>
\(-5x\)
</td>
</tr>
<tr>
<th scope="row">
–7
</th>
<td>
\(-7x\)
</td>
<td>
35
</td>
</tr>
</tbody>
</table>
</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 8.6.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \((x − 5)(x − 7)\).
</p>
</div>
</div>
<!--q5-->
<div class="os-raise-ib-pset-problem" data-content-id="1f051cf4-ff3d-467f-b22d-54af248fb612" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((x + 9)(x + 4)\)" data-solution-options='["\\((x − 12)(x − 3)\\)", "\\((x + 12)(x + 1)\\)", "\\((x + 18)(x + 2)\\)", "\\((x + 9)(x + 4)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>Find the factored form of \(x^2+13x +36\).</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 activity 8.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \((x + 9)(x + 4)\).
</p>
</div>
</div>
<!--q6-->
<div class="os-raise-ib-pset-problem" data-content-id="eb89d4ed-a618-402f-86c3-dea7cf411cf8" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((x − 6)(x − 8)\)" data-solution-options='["\\((x − 10)(x − 4)\\)", "\\((x − 12)(x − 4)\\)", "\\((x − 7)(x − 7)\\)", "\\((x − 6)(x − 8)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>Find the factored form of \(x^2−14x +48\).</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 8.6.3.
</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \((x − 6)(x − 8)\).
</p>
</div>
</div>
<!--q7-->
<div class="os-raise-ib-pset-problem" data-content-id="92f42697-a268-43c6-81d2-1c37fb2574ae" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((x + 3)(x + 10)\)" data-solution-options='["\\((x + 15)(x + 2)\\)", "\\((x + 6)(x + 5)\\)", "\\((x + 3)(x + 10)\\)", "\\((x + 6)(x + 7)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li>Find the factored form of \(x^2+13x +30\).</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 8.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \((x + 3)(x + 10)\).
</p>
</div>
</div>
<!--q8-->
<div class="os-raise-ib-pset-problem" data-content-id="17108c3a-65a7-45f8-8a41-b84f45e95ade" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((x − 9)(x − 3)\)" data-solution-options='["\\((x − 9)(x − 3)\\)", "\\((x − 7)(x − 5)\\)", "\\((x − 27)(x − 1)\\)", "\\((x − 6)(x − 6)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>Find the factored form of \(x^2−12x +27\).</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 8.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \((x − 9)(x − 3)\).
</p>
</div>
</div>
<!--q9-->
<div class="os-raise-ib-pset-problem" data-content-id="69fc2356-8184-45bb-a5d1-5fd047dad8da" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\((x − 11)(x − 2)\)" data-solution-options='["\\((x − 11)(x − 2)\\)", "\\((x − 12)(x − 1)\\)", "\\((x − 22)(x − 1)\\)", "\\((x − 6)(x − 7)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>Find the factored form of \(x^2−13x +22\).</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 8.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \((x − 11)(x − 2)\).
</p>
</div>
</div>
<!--q10-->
<div class="os-raise-ib-pset-problem" data-content-id="feaa0e9a-0558-4790-8237-b74c0a708ff0" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="12, 8" data-solution-options='["10, 10", "12, 8", "24, 4", "14, 6"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="10">
<li>Here are pairs of equivalent expressions: one in standard form and the other in factored form. Find the
missing numbers.</li>
</ol>
<p>\(x^2+20x +96\) and \((x\; +\) __\()(x\; +\) __\()\)</p>
</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 8.6.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 12, 8.
</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>