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Chapter 1: Q 519. (page 109)

Evaluate variable expressions with fractions.

x-25when

(a)x=35

(b)x=-35

Short Answer

Expert verified

Part (a) The value of the expression is15.

Part (b) The value of the expression is -1.

Step by step solution

01

Part (a) Step 1. Given Information

Consider the expression.

x-25

02

Part (a) Step 2. Evaluate the expression when x=35.

Substitute 35for xinto the given expression.

x-25=35-25

Conclude that the fractions have the same denominators .

Therefore, subtract the fractions to simplify the expression.

x-25=3-25=15

Thus, the value of the expression whenx=35is 15.

03

Part (b) Step 1. Evaluate the expression when x=-34.

Substitute -35for xinto the given expression.

localid="1647945299199" x-25=-35-25

Conclude that the fractions have the same denominators.

Therefore, subtract the fractions to simplify the expression.

x-25=-3-25=-55=-1

Hence, the value of the expression when x=-35is -1.

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