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Chapter 0: Problem 8

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

Short Answer

Expert verified
The evaluated expression is 12.

Step by step solution

01

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: \(8^{2}-7*8+4\).
02

Simplify the square

Simplify \(8^{2}\) to get \(64\). So, the expression becomes: \(64-7*8+4\).
03

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.
04

Simplify the expression

Lastly, simplifying \(64-56+4\) gives us \(12\), which is the expression evaluated for \(x=8\).

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