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Chapter 0: Problem 5

Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}+3 x, \text { for } x=8$$

Short Answer

Expert verified
The evaluation of the algebraic expression \(x^{2}+3 x\) for \(x=8\) is 88.

Step by step solution

01

Substitute the Given Value for the Variable

In the given algebraic expression \(x^{2}+3 x\), replace each occurrence of the variable \(x\) with the given value, which is 8. This results in \(8^{2}+3(8)\).
02

Evaluate the Exponents

Calculate the value of \(8^{2}\), which equals to 64.
03

Multiply

Calculate the multiplication of 3 with 8, which equals 24.
04

Sum Up the Results

Finally, add the two results from step 2 and step 3 together. Hence, \(64 + 24 = 88\)

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Most popular questions from this chapter

Exercises \(142-144\) will help you prepare for the material covered in the next section. Use the distributive property to multiply: $$2 x^{4}\left(8 x^{4}+3 x\right)$$

Factor and simplify each algebraic expression. $$\left(x^{2}+3\right)^{-\frac{1}{3}}+\left(x^{2}+3\right)^{-\frac{1}{3}}$$

Factor completely. $$(x-5)^{-\frac{1}{2}}(x+5)^{-\frac{1}{2}}-(x+5)^{\frac{1}{2}}(x-5)^{-\frac{3}{2}}$$

What is a perfect square trinomial and how is it factored?

Simplify each expression. Assume that all variables represent positive numbers. $$ \left(8 x^{-6} y^{3}\right)^{\frac{1}{3}}\left(x^{\frac{5}{6}} y^{-\frac{1}{3}}\right)^{6} $$
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