Problem 5 - Algebra and Trigonometry

Question

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

Step-by-Step Solution

Answer

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

Step 1: 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 \(8^{2}+3(8)\).

Step 2: Evaluate the Exponents

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

Step 3: Multiply

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

Step 4: Sum Up the Results

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