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<title>One-step equations with multiplication</title>
<script data-main="../local-only/main.js" src="../local-only/require.js"></script>
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<body>
<div class="exercise">
<div class="vars">
<var id="X">randFromArray("x")</var>
<var id="A">randRange(2, 10)</var>
<var id="D">randRange(2, 10)</var>
<var id="SOLUTION">fractionReduce(D, A)</var>
<var id="ONE_OVER_A">fractionReduce(1, A)</var>
</div>
<div class="problems">
<div id="mul-var-on-left">
<p class="question">Solve for <code><var>X</var></code>:</p>
<div><code><var>A</var><var>X</var> = <var>D</var></code></div>
<div class="solution" data-type="multiple">
<p><code><var>X</var> =</code> <span class="sol"><var>D / A</var></span></p>
</div>
<div class="hints">
<div>
<p><span class="hint_red">Divide</span> both sides <span class="hint_red">by <code><var>A</var></code></span>:</p>
<p><code>
\red{\dfrac{\color{black}{<var>A</var><var>X</var>}}{<var>A</var>}} =
\red{\dfrac{\color{black}{<var>D</var>}}{<var>A</var>}}
</code></p>
</div>
<div>
<p>Simplify:</p>
<p><code>\dfrac{\cancel{<var>A</var>}<var>X</var>}{\cancel{<var>A</var>}} = <var>SOLUTION</var></code></p>
</div>
<p><code><var>X</var> = <var>SOLUTION</var></code></p>
</div>
</div>
<div id="mul-var-on-right">
<p class="question">Solve for <code><var>X</var></code>:</p>
<div><code><var>D</var> = <var>A</var><var>X</var></code></div>
<div class="solution" data-type="multiple">
<p><code><var>X</var> =</code> <span class="sol"><var>D / A</var></span></p>
</div>
<div class="hints">
<div>
<p><span class="hint_red">Divide</span> both sides <span class="hint_red">by <code><var>A</var></code></span>:</p>
<p><code>
\red{\dfrac{\color{black}{<var>D</var>}}{<var>A</var>}} =
\red{\dfrac{\color{black}{<var>A</var><var>X</var>}}{<var>A</var>}}
</code></p>
</div>
<div>
<p>Simplify:</p>
<p><code><var>SOLUTION</var> = \dfrac{\cancel{<var>A</var>}<var>X</var>}{\cancel{<var>A</var>}}</code></p>
</div>
<p><code><var>X</var> = <var>SOLUTION</var></code></p>
</div>
</div>
<div id="div-var-on-left">
<p class="question">Solve for <code><var>X</var></code>:</p>
<div><code>\dfrac{<var>X</var>}{<var>A</var>} = <var>D</var></code></div>
<div class="solution" data-type="multiple">
<p><code><var>X</var> =</code> <span class="sol"><var>D * A</var></span></p>
</div>
<div class="hints">
<div>
<p><span class="hint_red">Multiply</span> both sides <span class="hint_red">by <code><var>A</var></code></span>:</p>
<p><code>
\dfrac{<var>X</var>}{<var>A</var>} \red{\cdot <var>A</var>} =
<var>D</var> \red{\cdot <var>A</var>}
</code></p>
</div>
<div>
<p>Simplify:</p>
<p><code>\dfrac{<var>X</var>}{\cancel{<var>A</var>}} \cdot \cancel{<var>A</var>} = <var>A * D</var></code></p>
</div>
<p><code><var>X</var> = <var>A * D</var></code></p>
</div>
</div>
<div id="div-var-on-right">
<p class="question">Solve for <code><var>X</var></code>:</p>
<div><code><var>D</var> = \dfrac{<var>X</var>}{<var>A</var>}</code></div>
<div class="solution" data-type="multiple">
<p><code><var>X</var> =</code> <span class="sol"><var>D * A</var></span></p>
</div>
<div class="hints">
<div>
<p><span class="hint_red">Multiply</span> both sides <span class="hint_red">by <code><var>A</var></code></span>:</p>
<p><code>
<var>D</var> \red{\cdot <var>A</var>} =
\dfrac{<var>X</var>}{<var>A</var>} \red{\cdot <var>A</var>}
</code></p>
</div>
<div>
<p>Simplify:</p>
<p><code><var>A * D</var> = \dfrac{<var>X</var>}{\cancel{<var>A</var>}} \cdot \cancel{<var>A</var>}</code></p>
</div>
<p><code><var>X</var> = <var>A * D</var></code></p>
</div>
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