<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-1-variable-absolute-value">1-Variable Absolute Value Exercise</a></p><p>The main thing to remember about a <span style="color:#27ae60;">$1$-Variable Absolute Value</span> equation is that it can be split into two separate equations, one positive and one negative. Once you have those two equations, you solve (as seen earlier in the quant mountain) each one separately. </p>
<p><strong>NOTE: </strong>Absolute value equations can never be equal to a negative value.</p>
<p><strong>Example 1</strong></p>
<p style="text-align: center;">$$|x|=5$$</p>
<p style="text-align: center;"><strong>Equation 1: </strong>$x=5$</p>
<p style="text-align: center;"><strong>Equation 2: </strong>$x=-5$</p>
<p><strong>Example 2</strong></p>
<p style="text-align: center;">$$|4x+9|=18$$</p>
<p style="text-align: center;"><strong>Equation 1: </strong>$4x+9=18$</p>
<p style="text-align: center;"><strong>Equation 2: </strong>$4x+9=-18$</p>
<p> </p>