Problem 8

Question

Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-7 x+4, \text { for } x=8$$

Step-by-Step Solution

Verified
Answer
The evaluated expression is 12.
1Step 1: Substitute the value of x into the expression
Replace \(x\) in the expression \(x^{2}-7 x+4\) with the given value 8. This gives us: \(8^{2}-7*8+4\).
2Step 2: Simplify the square
Simplify \(8^{2}\) to get \(64\). So, the expression becomes: \(64-7*8+4\).
3Step 3: Compute the multiplication
Perform the multiplication operation to get \(64-56+4\). According to order of operations (BIDMAS/BODMAS), multiplication/division comes before addition/subtraction.
4Step 4: Simplify the expression
Lastly, simplifying \(64-56+4\) gives us \(12\), which is the expression evaluated for \(x=8\).