Problem 14
Question
Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{7(x-3)}{2 x-16}, \text { for } x=9$$
Step-by-Step Solution
Verified Answer
The evaluated algebraic expression for \(x=9\) is '21'.
1Step 1: Substitute given value into the algebraic expression
First, replace variable 'x' in the expression with the provided value 9. It will look like this: \(\frac{7(9-3)}{2*9-16}\)
2Step 2: Simplify the numerator and the denominator
Subtract first inside the parentheses both in the numerator and the denominator. That gives: \(\frac{7*6}{18-16}\)
3Step 3: 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: \(\frac{42}{2}\)
4Step 4: Evaluate the expression
Finally, divide 42 by 2 to get the answer. It results in '21'
Other exercises in this chapter
Problem 14
In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. $$ \left(8 x^{2}+7 x-5\right)-\lef
View solution Problem 14
Evaluate each exponential expression. $$ 3^{3} \cdot 3^{2} $$
View solution Problem 15
multiply or divide as indicated. $$ \frac{x-2}{3 x+9} \cdot \frac{2 x+6}{2 x-4} $$
View solution Problem 15
Factor by grouping. $$3 x^{3}-2 x^{2}-6 x+4$$
View solution