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Chapter 0: Problem 14

Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{7(x-3)}{2 x-16}, \text { for } x=9$$

Short Answer

Expert verified
The evaluated algebraic expression for \(x=9\) is '21'.

Step by step solution

01

Substitute given value into the algebraic expression

First, replace variable 'x' in the expression with the provided value 9. It will look like this: \(\frac{7(9-3)}{2*9-16}\)
02

Simplify the numerator and the denominator

Subtract first inside the parentheses both in the numerator and the denominator. That gives: \(\frac{7*6}{18-16}\)
03

Continue Simplification

Further simplify the operation. Now perform the multiplication in numerator to get 42 and subtraction in denominator to get 2. This gives us: \(\frac{42}{2}\)
04

Evaluate the expression

Finally, divide 42 by 2 to get the answer. It results in '21'

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Most popular questions from this chapter

Will help you prepare for the material covered in the next section. A. Simplify: \(21 x+10 x\) B. Simplify: \(21 \sqrt{2}+10 \sqrt{2}\)

Evaluate each expression. $$ \sqrt[3]{\sqrt[4]{16}+\sqrt{625}} $$

Simplify by reducing the index of the radical. $$ \sqrt[9]{x^{6} y^{3}} $$

Factor Completely. $$12 x^{2}(x-1)-4 x(x-1)-5(x-1)$$

What does \(a^{\frac{m}{n}}\) mean?
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