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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="e4f07aa9-b95c-4c3a-b9e4-071b158d91f1" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0"><!--Q#1-->
<div class="os-raise-ib-pset-problem" data-content-id="d746e47d-1480-40ae-a4c4-5f0f9911c402" data-problem-comparator="integer" data-problem-type="input" data-solution="5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li> What is the slope of the line that goes through the points in the given table of values?</li>
</ol>
<table class="os-raise-horizontaltable">
<thead>
</thead>
<tbody>
<tr>
<th scope="row">\(x\)</th>
<td>1</td>
<td>2</td>
<td>3</td>
<td>4</td>
</tr>
<tr>
<th scope="row">\(y\)</th>
<td>6</td>
<td>11</td>
<td>16</td>
<td>21</td>
</tr>
</tbody>
</table>
<br>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Since the change in \(y\) is 5, and the change in \(x\)is 1, the slope is \(\frac51\) or 5.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 1.13.2 and 1.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 5. You seem to be stuck. Who can you ask for help?
</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q#2-->
<div class="os-raise-ib-pset-problem" data-content-id="5b06c140-6d95-47bd-ae33-47e2866404fd" data-problem-comparator="integer" data-problem-type="input" data-solution="2">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>In the equation, \(y = 4x + 2\), what is the value of the \(y\)-intercept?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! In the form, \(y=mx +b\), \(b\) is the \(y\)-intercept so 2 is the \(y\)-intercept in this equation.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.13.1. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 2. You seem to be stuck. Who can you ask for help?
</p>
</div>
</div>
<!--Q#3-->
<div class="os-raise-ib-pset-problem" data-content-id="f32865f8-862f-40d1-b4c1-fc95f906f760" data-problem-comparator="integer" data-problem-type="input" data-solution="3">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>Identify the slope in the given graph.</li>
</ol>
<p><img src="https://k12.openstax.org/contents/raise/resources/46cec782dce063f1e452bb13a0ec3ba26a8cffdd" width="300"></p>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! From the point \((-1,1)\) to \((0,4)\), the slope is 3.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.13.3. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 3. You seem to be stuck. Who can you ask for help?
</p>
</div>
</div>
<!--Q#4-->
<div class="os-raise-ib-pset-problem" data-content-id="67f9fa7e-8472-4e31-867a-fd8a46226ea4" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(y=5x+2\)" data-solution-options='["\\(y=2x+5\\)", "\\(y=5x+2\\)", "\\(y=7x-2\\)", "\\(y=5x-2\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>Which of the following is an equation for the table of values?</li>
</ol>
<table class="os-raise-horizontaltable">
<thead>
</thead>
<tbody>
<tr>
<th scope="row">\(x\)</th>
<td>0</td>
<td>1</td>
<td>2</td>
<td>3</td>
</tr>
<tr>
<th scope="row">\(y\)</th>
<td>2</td>
<td>7</td>
<td>12</td>
<td>17</td>
</tr>
</tbody>
</table>
<br>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The \(y\)-intercept is 2 and the slope is 5.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 1.13.2 and 1.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(y=5x+2\). You seem to be stuck. Who can you ask for help? </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q#5-->
<div class="os-raise-ib-pset-problem" data-content-id="02f87ef5-ff24-4d92-8448-0da1ee9d0ea0" data-problem-comparator="float" data-problem-type="input" data-solution="-1">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>For the equation \(y= -2x +3\), what is the value when \(x = 2\)?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Substitute \(x=2\) so that \(y = -2(2)+3= -4+3=-1\).</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is -1. You seem to be stuck. Who can you ask for help?
</p>
</div>
</div>
<!--Q#6-->
<div class="os-raise-ib-pset-problem" data-content-id="096276e4-4e51-45b3-8b2b-014cfb1ee59f" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(y=15w +40\)" data-solution-options='["\\(y=15w +40\\)", "\\(y=40w\\)", "\\(y=40w+15\\)", "\\(y=40(15w)\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>Jonah started the month with $40 and earned $15 each week walking dogs for neighbors. How much does he have after \(w\) weeks?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Jonah started with $40 so that is the \(y\)-intercept. He earned $15 each week so that is the slope.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 1.13.2 and 1.13.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(y=15w +40\). You seem to be stuck. Who can you ask for help?
</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q#7-->
<div class="os-raise-ib-pset-problem" data-content-id="d7acd21e-9f2a-4b1a-aa74-1130083fb59b" data-problem-comparator="integer" data-problem-type="input" data-solution="3">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li>Write the slope of the given table.</li>
</ol>
<table class="os-raise-horizontaltable">
<thead>
</thead>
<tbody>
<tr>
<th scope="row">\(x\)</th>
<td>0</td>
<td>2</td>
<td>4</td>
</tr>
<tr>
<th scope="row">\(y\)</th>
<td>5</td>
<td>11</td>
<td>17</td>
</tr>
</tbody>
</table>
<br>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p> Correct! The change in \(y\) is 6 and the change in \(x\) is 2 so the slope is \(\frac62\) or 3.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 1.13.2 and 1.13.3. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 3. You seem to be stuck. Who can you ask for help?
</p>
</div>
</div>
<!--Q#8-->
<div class="os-raise-ib-pset-problem" data-content-id="6f2232f8-366d-46a3-bb45-08649f2af71b" data-problem-comparator="integer" data-problem-type="input" data-solution="5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>For the equation \(g=\frac{w+3}{2}\), what is the value of \(g\) when \(w=7\)?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 5</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.13.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 5. You seem to be stuck. Who can you ask for help?
</p>
</div>
</div>
<!--Q#9-->
<div class="os-raise-ib-pset-problem" data-content-id="2af60583-92e1-4fe3-a3e7-418324146104" data-problem-comparator="integer" data-problem-type="input" data-solution="1">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>Identify the \(y\)-intercept of the given table.</li>
</ol>
<table class="os-raise-horizontaltable">
<thead>
</thead>
<tbody>
<tr>
<th scope="row">\(x\)</th>
<td>1</td>
<td>2</td>
<td>3</td>
</tr>
<tr>
<th scope="row">\(y\)</th>
<td>3</td>
<td>5</td>
<td>7</td>
</tr>
</tbody>
</table>
<br>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Work backward using the pattern to when \(x =0\). Subtract 1 from \(x=1\) and subtract 2 from \(x=3\).</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.13.2. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 1. You seem to be stuck. Who can you ask for help?
</p>
</div>
</div>
<!--Q#10-->
<div class="os-raise-ib-pset-problem" data-content-id="a0a731c8-f232-4ed5-8701-2a23e8395c7e" data-problem-comparator="text" data-problem-type="input" data-solution="-1/5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="10">
<li>Identify the slope of the line between \((3, 6)\) and \((-2, 7)\).</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! \(- \frac15\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 1.13.1.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(- \frac15\). You seem to be stuck. Who can you ask for help?
</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>