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<p><strong><em>Students will complete the following questions to practice the skills they have learned in this lesson.</em></strong></p>
<ol class="os-raise-noindent">
<li>Which of the following points is the solution to the system of equations that is graphed?<br>
<img src="https://k12.openstax.org/contents/raise/resources/f8b2817150ab876b42893d7d192fa7208d9b2dfc" width="300"/></li>
</ol>
<ul>
<li> \((20, 0) \)</li>
<li>\( (0, 20) \)</li>
<li>\( (45, 0) \)</li>
<li>\( (5, 15) \)</li>
</ul>
<p><strong>Answer:</strong> \((5, 15)\)</p>
<ol class="os-raise-noindent" start="2">
<li>Which of the following points is the solution to the system of equations that is graphed?<br>
<img src="https://k12.openstax.org/contents/raise/resources/33de84819a3f6bb93578fdc791adb33bc752fc40" width="300"/></li>
</ol>
<ul>
<li> \((5, 2)\)</li>
<li>\( (2, 5) \)</li>
<li>\( (8, 0) \)</li>
<li>\( (5.2, 0)\) </li>
</ul>
<p><strong>Answer:</strong> \((5, 2)\)</p>
<ol class="os-raise-noindent" start="3">
<li>What two equations are represented by the graph? Select <strong>two</strong>.<br>
<img src="https://k12.openstax.org/contents/raise/resources/8bbab63874107229f204df779b103cf9cc8e4dce"/></li>
</ol>
<ul>
<li>\(y=\frac12x-1\)</li>
<li>\(y=4x-2\)</li>
<li>\(y=\frac14x+2\)</li>
<li>\(y=\frac{-1}{2}x+1\)</li>
</ul>
<p><strong>Answer:</strong> Correct! The system of equations includes \(y=\frac12x-1\) and \(y=4x-2\).</p>
<ol class="os-raise-noindent" start="4">
<li> What two equations are represented by the graph? Select<strong> two</strong>.<br>
<img src="https://k12.openstax.org/contents/raise/resources/475020aab78e3fc53257a802ab6832ed21f34470" width="300"/></li>
</ol>
<ul>
<li>\(y=x-1\)</li>
<li>\(y=x+1\)</li>
<li>\(y=\frac13x+2\)</li>
<li> \(y=3x-2\)</li>
</ul>
<p><strong>Answer:</strong> Correct! The system of equations includes \(y=x-1\) and \(y=3x-2\).</p>
<p>For questions 5–8, use the following scenario and matching table.</p>
<blockquote>
<p>A streaming service has two different membership plans. Option A charges $10 per month plus $5 for each movie. Option B charges $20 a month then $2 a movie.</p>
</blockquote>
<table class="os-raise-doubleheadertable">
<thead>
<tr>
<th scope="col"><p>Number of movies in a month, \(x\).</p></th>
<th scope="col"><p>0</p></th>
<th scope="col"><p>1</p></th>
<th scope="col"><p>2</p></th>
<th scope="col"><p>3</p></th>
<th scope="col"><p>4</p></th>
</tr>
</thead>
<tbody>
<tr>
<th scope="row"><p>Option A</p></th>
<td><p>10</p></td>
<td><p>15</p></td>
<td><p>20</p></td>
<td><p>25</p></td>
<td><p>30</p></td>
</tr>
<tr>
<th scope="row"><p>Option B</p></th>
<td><p>20</p></td>
<td><p>22</p></td>
<td><p>24</p></td>
<td><p>26</p></td>
<td><p>28</p></td>
</tr>
</tbody>
</table>
<br>
<ol class="os-raise-noindent" start="5">
<li> What is the \(y\)-intercept for Option A and Option B? </li>
</ol>
<ul>
<li>Option A: 10 <br>
Option B: 20</li>
<li>Option A: 20 <br>
Option B: 10</li>
<li>Option A: 5 <br>
Option B: 2</li>
<li>Option A: 2 <br>
Option B: 5</li>
</ul>
<p><strong>Answer:</strong> Correct! The \(y\)-intercepts are Option A = 10 and Option B = 20.</p>
<ol class="os-raise-noindent" start="6">
<li>What is the slope of Option A and Option B? </li>
</ol>
<ul>
<li>Option A: \(m =\frac 15\) <br>
Option B: \(m =\frac 12\)</li>
<li>Option A: \(m=2\) <br>
Option B: \(m =5\) </li>
<li>Option A: \(m =\frac12\) <br>
Option B: \(m =\frac15\)</li>
<li>Option A: \(m =5\) <br>
Option B: \(m =2\) </li>
</ul>
<p><strong>Answer:</strong> Correct! The slopes are Option A = 5 and Option B = 2.</p>
<ol class="os-raise-noindent" start="7">
<li>What is the equation of Option A?</li>
</ol>
<ul>
<li>\(y=10x+5\)</li>
<li>\(y=5x-10\)</li>
<li>\(y=5x+10\)</li>
<li>\(y=10x-5\)</li>
</ul>
<p><strong>Answer:</strong> Correct! The equation of the line for Option A is \(y=5x+10\).</p>
<ol class="os-raise-noindent" start="8">
<li>What is the slope for Option B?</li>
</ol>
<ul>
<li>\(y=5x+20\)</li>
<li>\(y=2x+20\)</li>
<li>\(y=5x+10\)</li>
<li>\(y=2x+10\)</li>
</ul>
<p><strong>Answer:</strong> Correct! The equation of the line for Option B is \(y=2x+20\).</p>
<p>For questions 9 - 12, use the following situation and graph.</p>
<blockquote>
<p>A family buys a total of 32 tickets at a carnival. Ride tickets cost $1.50 each and food tickets cost $3.25 each. The family pays a total of $90 for the tickets. The situation is graphed below.</p>
<p><img src="https://k12.openstax.org/contents/raise/resources/eb44767d0c6710228091a100debe7800c1ed2a24" width="300"/></p>
<p>The \(x\)-axis represents the number of ride tickets and the \(y\)-axis represents the number of food tickets.</p>
</blockquote>
<ol class="os-raise-noindent" start="9">
<li>Which line depicts the equation that represents the statement “A family buys a total of 32 tickets at a carnival”?</li>
</ol>
<ul>
<li> the orange, solid line </li>
<li> the blue, dashed line </li>
</ul>
<p><strong>Answer:</strong> The orange, solid line. It represents \(x + y = 32\).</p>
<ol class="os-raise-noindent" start="10">
<li>The remaining line represents the statements “Ride tickets cost $1.50 each and food tickets cost $3.25 each. The family pays a total of $90 for the tickets.” Which equation corresponds to these statements and the remaining line?</li>
</ol>
<ul>
<li> \(1.50x + 3.25y = 90\) </li>
<li> \(3.25x + 1.50y = 90\) </li>
<li> \((1.50 + 3.25)x = 90y\) </li>
<li> \((1.50 + 3.25)y = 90x\) </li>
</ul>
<p><strong>Answer:</strong> The blue, dashed line represents the equation \(1.50x + 3.25y = 90\). This equation also corresponds to the scenario's statements.</p>
<ol class="os-raise-noindent" start="11">
<li>What is the approximate number of ride tickets the family purchased?</li>
</ol>
<ul>
<li> 32 </li>
<li> 60 </li>
<li> 8 </li>
<li> 24 </li>
</ul>
<p><strong>Answer:</strong> 8</p>
<ol class="os-raise-noindent" start="12">
<li>What is the approximate number of food tickets the family purchased?</li>
</ol>
<ul>
<li> 32 </li>
<li> 60 </li>
<li> 7 </li>
<li> 24 </li>
</ul>
<p><strong>Answer:</strong> 24</p>