In Exercises 1–16, evaluate each algebraic expression for the giv...

Question

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 4+5(x-7)^3, for x =9

Accepted Answer

Welcome back. I'm so glad you're here. We are given an expression and I will write that a bit bigger. We've got parentheses X plus three and parentheses? That whole parentheses is cubed plus five and were given a value for a variable X. X equals one. What does that mean? Anywhere? We see an X. In our expression there's one we are going to replace it with a one. So let's do that. We've got parentheses and now instead of X it's one and then bring down that plus three inside the parentheses. And that whole thing is cubed and bring down plus five and now we've got all numbers so we can follow the guidelines from the order of operations from Pem does as you recall from previous lessons pem dust stance for starting with parentheses than doing exponents. Then doing multiplication and division from left to right and then addition and subtraction from left to right. So do we have any parentheses with operations happening inside of them? Yes we do. So we'll start with parentheses we'll do what's inside of them. First one plus three. Well that equals four. Then we'll bring down that cubed plus five. And now I checked off parentheses. Why do we still have parentheses there? That's just to remind us that the value of what was in the parentheses before is going to be cubed. So looking at what's next that is exponents and we do get to do that cubing next four. Cute. Well that is 64 and bring down that plus five parentheses and exponents are done and gone and good riddance. And do we have any multiplication and division? Nope. We can check that off free. We now addition and subtraction. Yes, we've got some addition. That's the only thing left. So 64 plus five that gives us 69. Now we are done. We can look at our answer choices and that matches with answer choice. D. Well done. We'll catch you on the next one.

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