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<!DOCTYPE html>
<html data-require="math">
<head>
<meta charset="UTF-8" />
<title>Order of operations</title>
<script src="../khan-exercise.js"></script>
</head>
<body>
<div class="exercise">
<div class="vars" data-ensure="B - C !== 0">
<var id="A">randRange(1, 10)</var>
<var id="B">randRange(1, 10)</var>
<var id="C">randRange(1, 10)</var>
<var id="D">randRange(1, 10)</var>
<var id="E">randRange(1, 10)</var>
</div>
<div class="problems">
<div id="order-of-operations">
<p class="question">Simplify the following expression.</p>
<p class="problem"><code>
<var>A</var> + (<var>B</var> \times <var>C</var>)
</code></p>
<p class="solution" data-forms="integer">
<var>A+B*C</var>
</p>
<div class="hints">
<p><code>
= <var>A</var> + (<var>B*C</var>)
</code></p>
<p><code>
= <var>A</var> + <var>B*C</var>
</code></p>
<p><code>
= <var>A+B*C</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
<var>A</var> + <var>B</var> \times <var>C</var>
</code></p>
<p class="solution" data-forms="integer">
<var>A+B*C</var>
</p>
<div class="hints">
<p><code>
= <var>A</var> + <var>B*C</var>
</code></p>
<p><code>
= <var>A+B*C</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
<var>A</var> \times (<var>B</var> + <var>C</var>)
</code></p>
<p class="solution" data-forms="integer">
<var>A*(B+C)</var>
</p>
<div class="hints">
<p><code>
= <var>A</var> \times <var>B+C</var>
</code></p>
<p><code>
= <var>A*(B+C)</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
<var>A</var> + (\dfrac{<var>B*C</var>}{<var>C</var>})
</code></p>
<p class="solution" data-forms="integer">
<var>A+B</var>
</p>
<div class="hints">
<p><code>
= <var>A</var> + (<var>B</var>)
</code></p>
<p><code>
= <var>A</var> + <var>B</var>
</code></p>
<p><code>
= <var>A+B</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
<var>A</var> + \dfrac{<var>B*C</var>}{<var>C</var>}
</code></p>
<p class="solution" data-forms="integer">
<var>A+B</var>
</p>
<div class="hints">
<p><code>
= <var>A</var> + <var>B</var>
</code></p>
<p><code>
= <var>A+B</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
\dfrac{ <var>(A*(B+C))</var> }{ <var>B</var> + <var>C</var> }
</code></p>
<p class="solution" data-forms="integer">
<var>A</var>
</p>
<div class="hints">
<p><code>
= \dfrac{ <var>(A*(B+C))</var> }{ (<var>(B+C)</var>) }
</code></p>
<p><code>
= \dfrac{ <var>(A*(B+C))</var> }{ <var>B+C</var> }
</code></p>
<p><code>
= <var>A</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
\dfrac{ <var>(A*(B-C))</var> }{ (<var>B</var> - <var>C</var>) }
</code></p>
<p class="solution" data-forms="integer">
<var>A</var>
</p>
<div class="hints">
<p><code>
= \dfrac{ <var>(A*(B-C))</var> }{ (<var>(B-C)</var>) }
</code></p>
<p><code>
= \dfrac{ <var>(A*(B-C))</var> }{ <var>B-C</var> }
</code></p>
<p><code>
= <var>A</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
(<var>A</var> + (<var>B</var> - <var>C</var> \times <var>D</var>)) \times <var>E</var>
</code></p>
<p class="solution" data-forms="integer">
<var>(A+(B-(C*D)))*E</var>
</p>
<div class="hints">
<p><code>
= (<var>A</var> + (<var>B</var> - <var>(C*D)</var>)) \times <var>E</var>
</code></p>
<p><code>
= (<var>A</var> + (<var>(B-(C*D))</var>)) \times <var>E</var>
</code></p>
<p><code>
= (<var>A</var> + <var>(B-(C*D))</var>) \times <var>E</var>
</code></p>
<p><code>
= (<var>(A+(B-(C*D)))</var>) \times <var>E</var>
</code></p>
<p><code>
= <var>(A+(B-(C*D)))</var> \times <var>E</var>
</code></p>
<p><code>
= <var>(A+(B-(C*D)))*E</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
<var>A</var> + (<var>B</var> - <var>C</var> \times <var>D</var>) \times <var>E</var>
</code></p>
<p class="solution" data-forms="integer">
<var>A+((B-(C*D))*E)</var>
</p>
<div class="hints">
<p><code>
= <var>A</var> + (<var>B</var> - <var>(C*D)</var>) \times <var>E</var>
</code></p>
<p><code>
= <var>A</var> + (<var>(B-(C*D))</var>) \times <var>E</var>
</code></p>
<p><code>
= <var>A</var> + <var>((B-(C*D))*E)</var>
</code></p>
<p><code>
= <var>A+((B-(C*D))*E)</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
<var>A</var> - <var>B</var> \times <var>C</var> + \dfrac{ <var>(D*E)</var> }{ <var>E</var> }
</code></p>
<p class="solution" data-forms="integer">
<var>A-B*C+D</var>
</p>
<div class="hints">
<p><code>
= <var>A</var> - <var>B</var> \times <var>C</var> + <var>D</var>
</code></p>
<p><code>
= <var>A</var> - <var>(B*C)</var> + <var>D</var>
</code></p>
<p><code>
= <var>(A-B*C)</var> + <var>D</var>
</code></p>
<p><code>
= <var>A-B*C+D</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
<var>A</var> \times <var>B</var> + <var>C</var> \times \dfrac{ <var>(D*E)</var> }{ <var>E</var> }
</code></p>
<p class="solution" data-forms="integer">
<var>(A*B)+(C*D)</var>
</p>
<div class="hints">
<p><code>
= <var>A</var> \times <var>B</var> + <var>C</var> \times <var>D</var>
</code></p>
<p><code>
= <var>(A*B)</var> + <var>C</var> \times <var>D</var>
</code></p>
<p><code>
= <var>(A*B)</var> + <var>(C*D)</var>
</code></p>
<p><code>
= <var>(A*B)+(C*D)</var>
</code></p>
</div>
</div>
<div data-type="order-of-operations">
<p class="problem"><code>
(<var>A</var> + <var>B</var> \times <var>C</var>) - <var>D</var> \times <var>E</var>
</code></p>
<p class="solution" data-forms="integer">
<var>(A+B*C)-(D*E)</var>
</p>
<div class="hints">
<p><code>
= (<var>A</var> + <var>(B*C)</var>) - <var>D</var> \times <var>E</var>
</code></p>
<p><code>
= <var>(A+(B*C))</var> - <var>D</var> \times <var>E</var>
</code></p>
<p><code>
= <var>(A+(B*C))</var> - <var>(D*E)</var>
</code></p>
<p><code>
= <var>(A+B*C)-(D*E)</var>
</code></p>
</div>
</div>
</div>
</div>
</body>
</html>
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