Problem

Write the answer to problem in terms of the variable. See Example 1.A football player gain...

Write the answer to problem in terms of the variable. See Example 1.

A football player gained x yards rushing. On the next down, he gained 29 yd. What expression represents the number of yards he gained altogether?

EXAMPLE 1 Translating Phrases into Algebraic Expressions

Perform each translation.

(a) Two numbers have a sum of 23. If one of the numbers is represented by x, find an expression for the other number.

First, suppose that the sum of two numbers is 23, and one of the numbers is 10. To find the other number, we would subtract 10 from 23.

Instead of using 10 as one of the numbers, we use x. The other number would be obtained in the same way—by subtracting x from 23.

To check, we find the sum of the two numbers.

(b) Two numbers have a product of 24. If one of the numbers is represented by x, find an expression for the other number.

Suppose that one of the numbers is 4. To find the other number, we would divide 24 by 4.

In the same way, if x is one of the numbers, then we divide 24 by x to find the other number.

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Solutions For Problems in Chapter 2.3

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