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6c2e14d6-ec41-4c94-b614-3873413aa0f5.html
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<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="21edbea3-3cb2-402d-ac90-f3b8dbec36cc" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<!--Enter Questions Below this line-->
<!--Q1-->
<!--
<div class="os-raise-ib-pset-problem" data-problem-type="multiselect" data-solution='[\\(15x-60=120\\)", "\\(3x=36\\)", "\\(x-4=8\\)"]' data-solution-options='["\\(15x-60=120\\)", "\\(3x=12\\)", "\\(3x=36\\)", "\\(x-4=8\\)", "\\(12x-12=24\\)"]'>-->
<div class="os-raise-ib-pset-problem" data-content-id="75ab0de5-d0d8-464a-8fc5-06a2360884f3" data-problem-type="multiselect" data-solution='["\\(15x-60=120\\)", "\\(3x=36\\)", "\\(x-4=8\\)"]' data-solution-options='["\\(15x-60=120\\)", "\\(3x=12\\)", "\\(3x=36\\)", "\\(x-4=8\\)", "\\(12x-12=24\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>1. <strong>Select three</strong> the equations that have the same solution as the equation \(3x-12=24\).</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 1.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are \(15x-60=120,\;3x=36,\;x-4=8\). </p>
</div>
</div>
<!--Q2-->
<div class="os-raise-ib-pset-problem" data-content-id="dd027593-d07a-43ea-8d5e-67b8b5569b1e" data-problem-type="multiselect" data-solution='["\\(2x=20\\)", "\\(2x-20=0\\)", "\\(4x-10=30\\)"]' data-solution-options='["\\(2x=10\\)", "\\(2x=20\\)", "\\(2(x-5)=15\\)", "\\(2x-20=0\\)", "\\(4x-10=30\\)", "\\(15=5-2x\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>2. <strong>Select three</strong> the equations that have the same solution as \(2x-5=15\).</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(2x=20,\;2x-20=0,\;4x-10=30\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.6..</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are \(2x=20,\;2x-20=0,\;4x-10=30\). </p>
</div>
</div>
<!--Q3-->
<div class="os-raise-ib-pset-problem" data-content-id="01ada8b9-a708-4ddb-b38d-50d129283b51" data-problem-type="multiselect" data-solution='["\\(1.4x - 4.2 =12.8\\)", "\\(1.4x = 17\\)", "\\(14x - 42 =128\\)", "\\(14x =170\\)" ]' data-solution-options='["\\(1.4x - 4.2 =12.8\\)", "\\(1.4x = 8.6\\)", "\\(1.4x = 17\\)", "\\(14x - 42 =128\\)", "\\(10x +4x -42=12.8\\)", "\\(14x =170\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>3. <strong>Select four </strong>of the equations that are equivalent to: \(x + 0.4x - 4.2 =12.8\).</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 1.6.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are \(1.4x\;-\;4.2\;=12.8,\;1.4x\;=\;17,\;14x\;-\;42\;=128,\;14x\;=170\). </p>
</div>
</div>
<!--Q4-->
<div class="os-raise-ib-pset-problem" data-content-id="0331b218-3e9b-45ec-ad25-e6d74a049ed7" data-problem-type="multiselect" data-solution='["\\(3(x-2) = 12\\)", "\\(x - 2 =4\\)"]' data-solution-options='["\\(3x = 6\\)", "\\(3(x-2) = 12\\)", "\\(x - 2 =4\\)","\\(x - 2 = 12\\)", "\\(x -6 = 4\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>4. <strong>Select two </strong>of the following that are equivalent to \(3x -6 =12.\)</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 1.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are \(3(x-2) = 12\), \(x - 2 =4\). </p>
</div>
</div>
<!--Q5-->
<div class="os-raise-ib-pset-problem" data-content-id="56557040-0379-48a2-a762-f030812bac8f" data-problem-type="dropdown" data-retry-limit="2" data-solution="Step 1" data-solution-options='["Step 1", "Step 2", "Step 3"]'>
<div class="os-raise-ib-pset-problem-content">
<p>5. Identify which step the mistake is made in finding an equivalent equation to \(2(x - 4) = 16\).</p>
<p>Step 1: \(2x -4 = 16\)<br>
Step 2: \(2x =20\)<br>
Step 3: \(x =10\)</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Step 1. Distribute the 2 to both terms in the parentheses.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is Step 1 has the mistake.The 2 should be distributed to BOTH terms in the parenthesis. </p>
</div>
</div>
<!--Q6-->
<div class="os-raise-ib-pset-problem" data-content-id="75fd1f4b-6ad8-4568-93d1-a1ae87c3c273" data-problem-type="dropdown" data-retry-limit="2" data-solution="Step 2" data-solution-options='["Step 1", "Step 2", "Step 3"]'>
<div class="os-raise-ib-pset-problem-content">
<p>6. Identify which step the mistake is made in finding an equivalent equation to \(2x +3x -4 = 20\).</p>
<p>Step 1: \(5x - 4 =20\)<br>
Step 2: \(5x = 16\)<br>
Step 3: \(x =16/5\)</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Step 2. The student should add 4 to both sides of the equation.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is Step 2 has the mistake, The 4 should be ADDED to both sides of the equation. </p>
</div>
</div>
<!--Q7-->
<div class="os-raise-ib-pset-problem" data-content-id="c8bf940b-6ba4-4176-aacb-57cb0c1e47c8" data-problem-type="dropdown" data-retry-limit="2" data-solution="Step 3" data-solution-options='["Step 1", "Step 2", "Step 3"]'>
<div class="os-raise-ib-pset-problem-content">
<p>7. Identify which step the mistake is made in finding an equivalent equation to \(7x - 4x - 5 =16\).</p>
<p>Step \(1: 3x -5 =16\)<br>
Step 2: \(3x = 21\)<br>
Step 3: \(x =62\)</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Step 3. The student should divide both sides of the equation by 3.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is Step 3 has the mistake. The 3 should be DIVIDED on both sides of the equation. </p>
</div>
</div>
<!--Q8-->
<div class="os-raise-ib-pset-problem" data-content-id="e065c300-3340-4075-b263-af12b406a5d8" data-problem-comparator="integer" data-problem-type="input" data-solution="15">
<div class="os-raise-ib-pset-problem-content">
<p>8. Fill in the blank to complete the equivalent equation to 3(<em>x</em> - 5) = 30. </p>
<p>\(3x\)- ____ =30</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 15. Distribute the 3 to the 5 with multiplication.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 15. Distribute the 3 to the 5 with multiplication. </p>
</div>
</div>
<!--Q9-->
<div class="os-raise-ib-pset-problem" data-content-id="401ce19a-68a6-4497-9c4a-31beacefbf67" data-problem-comparator="integer" data-problem-type="input" data-solution="10">
<div class="os-raise-ib-pset-problem-content">
<p>9. Fill in the blank to complete the equivalent equation to \(\frac x2-5=11\). <strong> .</strong></p>
<p>\(x\) - ______ = 22</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 10. Multiply each term in the equation by 2.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p> Correct! 10. Multiply each term in the equation by 2.</p>
</div>
</div>
<!--Q10-->
<div class="os-raise-ib-pset-problem" data-content-id="0df20ed8-b4a3-4125-85ba-698f73c3b8ee" data-problem-comparator="integer" data-problem-type="input" data-solution="9">
<div class="os-raise-ib-pset-problem-content">
<p>10. Fill in the blank to complete the equivalent equation to \( 3(x - 9) = 24\). <strong> .</strong></p>
<p>\(x\) - ____ = 8</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 9. Divide both sides of the equation by 3.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.6.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 9. </p>
</div>
</div>
<!--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>