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Fundamentals of Mathematics, 2008a

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657<br />

Exercise 11.5.52<br />

(Section 10.7) Find the value <strong>of</strong> −3(4−15)−2<br />

−5<br />

.<br />

Exercise 11.5.53 (Solution on p. 687.)<br />

(Section 11.4) Solve the equation x − 14 + 8 = −2.<br />

11.6 Applications I: Translating Words to Mathematical Symbols 6<br />

11.6.1 Section Overview<br />

• Translating Words to Symbols<br />

11.6.2 Translating Words to Symbols<br />

Practical problems seldom, if ever, come in equation form. The job <strong>of</strong> the problem solver is to translate the<br />

problem from phrases and statements into mathematical expressions and equations, and then to solve the<br />

equations.<br />

As problem solvers, our job is made simpler if we are able to translate verbal phrases to mathematical<br />

expressions and if we follow the ve-step method <strong>of</strong> solving applied problems. To help us translate from<br />

words to symbols, we can use the following <strong>Mathematics</strong> Dictionary.<br />

MATHEMATICS DICTIONARY<br />

Word or Phrase<br />

Mathematical Operation<br />

Sum, sum <strong>of</strong>, added to, increased by, more than, and, plus +<br />

Dierence, minus, subtracted from, decreased by, less, less than -<br />

Product, the product <strong>of</strong>, <strong>of</strong>, multiplied by, times, per ·<br />

Quotient, divided by, ratio, per ÷<br />

Equals, is equal to, is, the result is, becomes =<br />

A number, an unknown quantity, an unknown, a quantity x (or any symbol)<br />

Table 11.2<br />

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