25dcbc78-5cd4-46ce-b77c-57a57fc89375.html

<p><b><i>Students will complete the following questions to
  practice the skills they have learned in this lesson.</i></b></p>
<p>For questions 1-8, solve the systems of equations
  using the elimination method.</p>
<ol class="os-raise-noindent">
  <li> \(\begin{array}{c}\left\{\begin{array}{l}5x\;+\;2y\;=\;2\\-6x\;-\;2y\;=\;0\end{array}\right.\\\\\end{array}\)</li>
</ol>
<ul>
  <li>\((-3,9)\)</li>
  <li>\((0,1)\)</li>
  <li>\((2,-4)\)</li>
  <li>\((-2,6)\)</li>
</ul>
<p><strong>Answer:</strong> \( x = -2 \), \( y = 6 \)</p>
<ol class="os-raise-noindent" start="2">
  <li>\(\begin{array}{c}\left\{\begin{array}{l}2x\;-\;5y\;=\;7\\-15x\;+\;5y\;=\;-85\end{array}\right.\\\\\end{array}\)</li>
</ol>
<ul>
  <li>\((7,4)\)</li>
  <li>\((5,-2)\)</li>
  <li>\((6,1)\)</li>
  <li>\((-4,-3)\)</li>
</ul>
<p><strong>Answer:</strong> \( x = 6 \), \( y = 1 \)</p>
<ol class="os-raise-noindent" start="3">
  <li> \(\begin{array}{c}\left\{\begin{array}{l}6x\;-\;10y\;=\;-18\\25x\;+\;10y\;=\;80\end{array}\right.\\\\\end{array}\)</li>
</ol>
<ul>
  <li>\((2,3)\)</li>
  <li>\((7,6)\)</li>
  <li>\((0,8)\)</li>
  <li>\((4,-2)\)</li>
</ul>
<p><strong>Answer:</strong> \( x = 2 \), \( y = 3 \)</p>
<ol class="os-raise-noindent" start="4">
  <li> \(\begin{array}{c}\left\{\begin{array}{l}-6x\;-\;16y\;=\;6\\6x\;+\;15y\;=\;-9\end{array}\right.\\\\\end{array}\)</li>
</ol>
<ul>
  <li>\((-14,5)\)</li>
  <li>\((-9,3)\)</li>
  <li>\((1,-1)\)</li>
  <li>\((7,-2)\)</li>
</ul>
<p><strong>Answer:</strong> \( x = -9 \), \( y = 3 \)</p>
<ol class="os-raise-noindent" start="5">
  <li>\(\begin{array}{c}\left\{\begin{array}{l}-15x\;-\;40y\;=\;-335\\15x\;+\;9y\;=\;180\end{array}\right.\\\\\end{array}\)</li>
</ol>
<ul>
  <li>\((12,0)\)</li>
  <li>\((9,5)\)</li>
  <li>\((17,2)\)</li>
  <li>\((6,10)\)</li>
</ul>
<p><strong>Answer:</strong> \( x = 9 \), \( y = 5 \)</p>
<ol class="os-raise-noindent" start="6">
  <li> \(\begin{array}{c}\left\{\begin{array}{l}x\;-\;3y\;=\;-9\\x\;+\;\frac52y\;=\;2\end{array}\right.\\\\\end{array}\)</li>
</ol>
<ul>
  <li>\((-3,2)\)</li>
  <li>\((0,3)\)</li>
  <li>\((2,0)\)</li>
  <li>\((-9,0)\)</li>
</ul>
<p><strong>Answer:</strong> \( x = -3 \), \( y = 2 \)</p>
<ol class="os-raise-noindent" start="7">
  <li> \(\begin{array}{c}\left\{\begin{array}{l}x\;+\;\frac13y\;=\;3\\2x\;+\;\frac13y\;=\;5\end{array}\right.\\\\\end{array}\)</li>
</ol>
<ul>
  <li>\((3,0)\)</li>
  <li>\((0,9)\)</li>
  <li>\((0,15)\)</li>
  <li>\((2,3)\)</li>
</ul>
<p><strong>Answer:</strong> \( x = 2 \), \( y = 3 \)</p>
<ol class="os-raise-noindent" start="8">
  <li> \(\begin{array}{c}\left\{\begin{array}{l}3x\;-\;8y\;=\;-35\\-5x\;+\;8y\;=\;45\end{array}\right.\\\\\end{array}\)</li>
</ol>
<ul>
  <li>\((-9,0)\)</li>
  <li>\((7,7)\)</li>
  <li>\((-5,2.5)\)</li>
  <li>\((-1,4)\)</li>
</ul>
<p><strong>Answer:</strong> \( x = -5 \), \( y = 2.5 \)<br>
</p>
<p>For questions 9-10,
  add the equations in the following systems of equations. What is the resulting
  new equation?</p>
<ol class="os-raise-noindent" start="9">
  <li> \(\begin{array}{c}\left\{\begin{array}{l}4x\;-\;6y\;=\;14\\-4x\;+\;y\;=\;-19\end{array}\right.\\\\\end{array}\)</li>
</ol>
<p><strong>Answer:</strong> \( -5y=-5 \)</p>
<ol class="os-raise-noindent" start="10">
  <li> \(\begin{array}{c}\left\{\begin{array}{l}3x\;-\;5y\;=\;18\\7x\;+\;5y\;=\;-8\end{array}\right.\\\\\end{array}\)</li>
</ol>
<p><b>Answer: </b>\( 10x=10 \)</p>