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a3eb3c57-dc2b-4269-88c5-0a9adb18feb8.html
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<p>Complete the following questions to practice the skills you have learned in this lesson.</p>
<p>For numbers 1–9, use the following scenario:<br>
A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of 30 miles per gallon. The gas
mileage (also called "fuel efficiency") tells us the number of miles the car can travel for a particular amount of
fuel (one gallon of gasoline, in this case). After filling the gas tank, the driver got on a highway and drove for a
while.</p>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="7549e8cd-9305-465b-b608-5ac053024935" 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-->
<!--1-->
<div class="os-raise-ib-pset-problem" data-content-id="c9c0b944-2eb3-43b2-acc4-79148148453b" data-problem-comparator="integer" data-problem-type="input" data-solution="30">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>How many miles has the car traveled if it has 15 gallons left in the tank?
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 30 miles</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 30 miles. </p>
</div>
</div>
<br>
<!--2-->
<div class="os-raise-ib-pset-problem" data-content-id="0b8af3c9-6742-4109-9f34-7f7fab8f173e" data-problem-comparator="integer" data-problem-type="input" data-solution="180">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>How many miles has the car traveled if it has 10 gallons left in the tank?
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 180 miles</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 180 miles. </p>
</div>
</div>
<br>
<!--3-->
<div class="os-raise-ib-pset-problem" data-content-id="2ab2e5e8-03f0-40d4-898e-c6155a3fe6c4" data-problem-comparator="integer" data-problem-type="input" data-solution="405">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>How many miles has the car traveled if it has 2.5 gallons left in the tank?
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 405 miles</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 405 miles. </p>
</div>
</div>
<br>
<!--Q4-->
<div class="os-raise-ib-pset-problem" data-content-id="97d672df-68be-43e5-8182-3eeb958b2ccd" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(d=30(16-x)\)" data-solution-options='["\\(d=16(30-x)\\)", "\\(x=\\frac{d-480}{-30}\\)", "\\(d=30(16-x)\\)", "\\(x=\\frac{30}{d-480}\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>Choose the equation that represents the relationship between the distance the car has traveled in miles, \(d\),
and the amount of gas left in the tank in gallons, \(x\)</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(d=30(16-x)\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(d=30(16-x)\)</p>
</div>
</div>
<!--5-->
<div class="os-raise-ib-pset-problem" data-content-id="6b70c89b-27d4-46db-830d-6009497c889c" data-problem-comparator="integer" data-problem-type="input" data-solution="13">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>How many gallons are left in the tank when the car has traveled 90 miles?
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 13 gallons</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 13 gallons. </p>
</div>
</div>
<br>
<!--6-->
<div class="os-raise-ib-pset-problem" data-content-id="0c673f94-e584-4e9e-a231-7697c0dba0dc" data-problem-comparator="integer" data-problem-type="input" data-solution="7.8">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>How many gallons are left in the tank when the car has traveled 246 miles?
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 7.8 gallons</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 7.8 gallons. </p>
</div>
</div>
<br>
<!--Q7-->
<div class="os-raise-ib-pset-problem" data-content-id="3480b5d0-91da-4121-bd45-5ab49f90db3c" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(x=\frac{d-480}{-30}\)" data-solution-options='["\\(d=16(30-x)\\)", "\\(x=\\frac{d-480}{-30}\\)", "\\(d=30(16-x)\\)", "\\(x=\\frac{30}{d-480}\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li>Choose an equation
that makes it easier to find the amount of gas left in the tank, \(x\), if we know the car has traveled \(d\) miles.
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(x=\frac{d-480}{-30}\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(x=\frac{d-480}{-30}\)</p>
</div>
</div>
<br>
<div class="os-raise-ib-pset-problem" data-content-id="c4617740-0dff-4561-ab05-fbbbcf1b0df6" data-problem-type="multiselect" data-solution='["\\( 281.25 - 5.25a=2.75s \\)", "\\(a=53.57- \\frac{2.75}{5.25}s\\)"]' data-solution-options='["\\( 281.25 - 5.25a=2.75s \\)", "\\(a=53.57- \\frac{2.75}{5.25}s\\)", "\\(x - 2 =4\\)","\\(x - 2 = 12\\)", "\\(x -6 = 4\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>Noah was helping to collect the entry fees at his school's football game. Student entry costs $2.75 each and adult
entry costs $5.25 each. By the end of the game, Diego had collected $281.25.
</li>
</ol>
<p><strong>Select two </strong>equations that could represent the relationship between the number of students, \(s\), the number of adults, \(a\), and the dollar amount collected at the game.
</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \( 281.25 - 5.25a=2.75s \), \(a=53.57- \frac{2.75}{5.25}s \)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are \( 281.25 - 5.25a=2.75s \) and \(a=53.57- \frac{2.75}{5.25}s \)</p>
<ul>
<li>\( 281.25 - 5.25a=2.75s \)</li>
<li>\( a=53.57- \frac{2.75}{5.25}s \) (<em><strong>Note:</strong> 53.57 is rounded;
it’s </em><em>\(\frac{281.25}{5.25}\).</em>)</li>
<li>\( 281.25-5.25s=a \)</li>
<li>\( 281.25+2.75a=s \)</li>
<li>\( 281.25+5.25s=a \)</li>
</ul>
</div>
</div>
<br>
<!--
<div class="os-raise-ib-pset-problem" data-content-id="f82f2e4d-ea83-477c-9224-a1ed1ec17b9c" data-problem-type="multiselect" data-solution='["\\(5.25a + 2.75s = 284.75\\)", "\\(284.75 - 5.25a = 2.75s\\)", "\\(284.75 - 2.75s = 5.25a\\)"]' data-solution-options='["\\(5.25a + 2.75s = 284.75\\)", "\\(284.75 - 5.25a = 2.75s\\)", "\\(284.75 - 5.25a = s\\)","\\(284.75 - 2.75s = 5.25a\\)", "\\(284.75 - 2.75s = a\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>Choose the equation that
solves the formula \( 6x + 5y = 13 \) for \( y \).</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(5.25a + 2.75s = 284.75\), \(284.75 - 5.25a = 2.75s\), \(284.75 - 2.75s = 5.25a\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.9.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(5.25a + 2.75s = 284.75\), \(284.75 - 5.25a = 2.75s\), \(284.75 - 2.75s = 5.25a\)</p>
</div>
</div> -->
<br>
<!--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>