<h2>Translating Word Phrases to Algebraic Expressions</h2>
<p>Once again, all our prior work translating words to algebra transfers to phrases that include both multiplying and dividing integers. Remember that the key word for multiplication is <em>product</em> and for division is <em>quotient</em>.</p>
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<h2>Example</h2>
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<p>Translate to an algebraic expression and simplify if possible: the product of \(-2\) and \(14.\)</p>
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<h3>Solution</h3>
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<p>The word <em>product</em> tells us to multiply.</p>
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<td> </td>
<td>the product of \(-2\) and \(14\)</td>
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<td>Translate.</td>
<td>\(\left(-2\right)\left(14\right)\)</td>
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<td>Simplify.</td>
<td>\(-28\)</td>
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<h2>Example</h2>
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<p>Translate to an algebraic expression and simplify if possible: the quotient of \(-56\) and \(-7.\)</p>
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<h3>Solution</h3>
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<p>The word <em>quotient</em> tells us to divide.</p>
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<td> </td>
<td>the quotient of −56 and −7</td>
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<td>Translate.</td>
<td>\(-56÷\left(-7\right)\)</td>
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<td>Simplify.</td>
<td>\(8\)</td>
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Translating Word Phrases to Algebraic Expressions

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Mathematics

Explore the world of integers, learn to locate numbers on the number line, find opposites, simplify expressions with absolute value, model addition, subtraction, multiplication, and division of integers, and solve equations using properties of equality in this tutorial.


	the product of \(-2\) and \(14\)
Translate.	\(\left(-2\right)\left(14\right)\)
Simplify.	\(-28\)

	the quotient of −56 and −7
Translate.	\(-56÷\left(-7\right)\)
Simplify.	\(8\)

Translating Word Phrases to Algebraic Expressions

Translating Word Phrases to Algebraic Expressions

Example

Solution

Example

Solution

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