7384dac4-f18d-489a-bee9-85f86ba53a24.html

<p class="os-raise-text-bold">Students will complete the following questions to practice the skills they have learned in this lesson.</p>
<p>For questions 1&ndash;3 choose an equivalent equation.</p> 
<ol class="os-raise-noindent">
  <li>
    Which equation is equivalent to \(3x + 6 = 4x + 7\)?
  </li>
</ol>
<ul>
  <li>\( 9x=4x+7\)</li>
  <li> \(3x+18=4x+7\)</li>
  <li>\( 3x=4x+7\)</li>
  <li>\( 3x−1=4x\)</li>
  <li>\( 7x=1 \)</li>
</ul>
<p><strong>Answer:</strong></p>  
<p>\(3x-1=4x\)</p>
<ol class="os-raise-noindent" start="2">
  <li>
    Which equation is equivalent to \(3(x + 6) = 4x + 7\)?
  </li>
</ol>
<ul>
  <li>\( 9x=4x+7\)</li>
  <li> \(3x+18=4x+7\)</li>
  <li>\( 3x=4x+7\)</li>
  <li>\( 3x−1=4x\)</li>
  <li>\( 7x=1 \)</li>
</ul>
<p><strong>Answer:</strong></p>  
<p>\(3x+18=4x+7\)</p>

<ol class="os-raise-noindent" start="3">
  <li>
    Which equation is equivalent to \(4x + 3x = 7-6\)?
  </li>
</ol>
<ul>
  <li>\( 9x=4x+7\)</li>
  <li> \(3x+18=4x+7\)</li>
  <li>\( 3x=4x+7\)</li>
  <li>\( 3x−1=4x\)</li>
  <li>\( 7x=1 \)</li>
</ul>
<p><strong>Answer:</strong></p>  
<p>\(7x=1\)</p>
<ol class="os-raise-noindent" start="4">
  <li>
    <strong>Select three </strong>equations that have 0 as a solution.
  </li>
</ol>
<ul>
  <li>\(  2x+10=4x+10 \)</li>
  <li>\(5x + 7 = 0 \)</li>
  <li>\(3(x-2)=9\) </li>
  <li>\(2x-3+4x=4-7 \)</li>
  <li>\(4x=9x \)</li>
</ul>
<p><strong>Answer:</strong></p>  
<p>\(2x+10=4x+10\), \(4x=9x\),&nbsp;and&nbsp;\(2x-3+4x=4-7\)</p>
<ol class="os-raise-noindent" start="5">
  <li>Which equation is equivalent to 6(x-3)=24?</li>
</ol>
<ul>
  <li>\(  6x-3=24 \)</li>
  <li>\(x-3=4\)</li>
  <li>\(6x=21\)</li>
  <li>\(6x=27\)</li>
</ul>
<p><strong>Answer:</strong></p>  
<p>\(x-3=4\)</p>
<ol class="os-raise-noindent" start="6">
  <li>
    Which of the following sets of equations are equivalent to each other?
  </li>
</ol>
<ul>
  <li>\(10(x+9) = 50\) and \(2(x+9)=10\)</li>
  <li>\(7(x+2)=21\) and \(7x +2=21\)</li>
  <li>\(5x - 2 = 7x +4\) and \(12x -2 =4\)</li>
  <li>\(6x-4=11\) and \(6x =7\) </li>
</ul>
<p><strong>Answer:</strong></p>  
<p>\(10(x+9) = 50\) and \(2(x+9)=10\). Each side of the equation was divided by 5. So the equations are equivalent.</p>
<ol class="os-raise-noindent" start="7">
  <li>
    Using the distributive property, choose which equation would be an equivalent equation to \(3(x-2) =7\).
  </li>
</ol>
<ul>
  <li>\(3x-2=7\)</li>
  <li>\(3x-6=7\)</li>
  <li>\(x-2=4\)</li>
  <li>\(3x=9\) </li>
</ul>
<p><strong>Answer:</strong></p>  
<p>3x - 6 =7. It is one of the solutions that could be equivalent to 3(x-2)=7</p>