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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 value of the expression \(x^{2}-7 x+4\) for \(x=8\) is 12.

Step by step solution

01

Understand the Expression

The expression to be evaluated is \(x^{2}-7 x+4\). The value given for x is 8.
02

Substitute the Value

By plugging in the 8 for x in the expression, it changes to \(8^{2} - 7*8 + 4\). In the second term, note that the variable x is being multiplied by -7, so 8 is also multiplied by -7.
03

Apply BIDMAS/BODMAS rule

Using the BIDMAS/BODMAS rule for order of operations, first compute the value of the index: \(8^{2}=64\). Then perform the multiplication in the next term: \(7*8=56\), and write the problem as \(64 - 56 + 4\).
04

Perform the Subtraction and Addition

Perform the subtraction: \(64 - 56 = 8\). Then perform the addition: \(8 + 4 = 12\).

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Most popular questions from this chapter

Factor and simplify each algebraic expression. $$\left(x^{2}+3\right)^{-\frac{2}{3}}+\left(x^{2}+3\right)^{-\frac{5}{3}}$$

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