Problem 7 - College Algebra Essentials

Question

Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-6 x+3, \text { for } x=7$$

Step-by-Step Solution

Answer

The result of evaluating the algebraic expression \(x^{2}-6 x+3\) for \(x=7\) is 10.

Step 1: Substitute the value of x

Replace x in the algebraic expression \(x^{2}-6 x+3\) with the given value 7. This will give \((7)^{2}-6 *(7)+3\).

Step 2: Simplification

Simplify the expression. The expression \((7)^{2}-6 *(7)+3\) equals to \(49 - 42 + 3\) when the operations within the parenthesis are executed first, following the precedence order of operations in algebra. Moreover, the operation \(49 - 42 + 3\) simplifies to 10.