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). 6x-y, for x=3 and y=8

Accepted Answer

Welcome back. I'm so glad you're here. Were given an expression the expression were given is eight. Y minus X. And we're given some information about that. Were given the values of our variables X equals three and Y equals two. Well, what does that mean? It means that anywhere we have an X in our in our expression, oh here's one that X is going to be replaced with a three. And anywhere we have a Y. In our expression, here's one that Y is going to be replaced with two. So let's go ahead and do that. We've got eight times now instead of eight times Y. It's eight times two And that's minus now instead of -X, it's now -3. And now all we've got are numbers. And so we recall from previous lessons that when we have numbers that can all be combined, we're going to use the order of operations given to us by this acronym Pem does meaning we're going to start with parentheses and then work on exponents and then from left to right, multiplication and division and from left, right, addition and subtraction. Last. So what have we got here? Do we have any parentheses? Well, there are parentheses around that too, but there are no operations happening within those parentheses. And that means when you see a number, just a number inside and it's squished up against another number. Like that means those parentheses mean multiplication. So for pandas we don't have any parentheses to do any work here. Do we have any exponents, nope. That one's also done. And now multiplication and division. as we just mentioned that eight is being multiplied by the two so we can do that eight times two is 16. And then bring down that minus three multiplication and division are done. Now addition and subtraction. All that we've got here is one little subtraction operation 16 minus three is 13. That's as much as we can do. We look at our answer choices and that matches with answer choice B. Well done. We'll catch on the next one.

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