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Chapter 6: Problem 15

Evaluate the algebraic expression for the given value or values of the variables. \(8 x^{2}+17 ; \quad x=5\)

Short Answer

Expert verified
The evaluated value of the algebraic expression \(8 x^{2}+17\) where \(x=5\) is 217.

Step by step solution

01

Identify the algebraic expression and the value of the variable

The algebraic expression provided is \(8 x^{2}+17\), and the value of the variable \(x\) that we are going to substitute into this expression is \(x=5\).
02

Substitute the value of the variable

Now, we substitute the given value of \(x\) into the algebraic expression, which gives us: \(8 (5)^{2}+17\).
03

Evaluation of the expression

We calculate the square of 5 and then multiply the result by 8, and finally, we add 17 to get the final result. This yields: \(8 \cdot 25 + 17 = 200 + 17 = 217\).

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Most popular questions from this chapter

Use FOIL to find the products in Exercises 1-8. \((x+3)(x+5)\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. The fastest way for me to solve \(x^{2}-x-2=0\) is to use the quadratic formula.

Solve the quadratic equations by factoring. \(3 x^{2}-4 x=15\)

Factor: \(x^{2 n}+20 x^{n}+99\).

Solve each equation by the method of your choice. \(2 x^{2}-9 x-3=9-9 x\)
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