In Exercises 61–66, evaluate each algebraic expression for x=2 an...

Question

In Exercises 61–66, evaluate each algebraic expression for x=2 and y=-5. |x+y|

Accepted Answer

Hello today we're going to be evaluating an absolute value expression. So the expression given to us is six times the absolute value of X plus Y. And we are told that the value of X is equal to six and the value of Y is equal to negative two. So in order to start evaluating this, let's go ahead and plug in our values of X. And Y. Doing so is going to give me six times the absolute value of X which is six plus Y which is negative two. Okay. So in order to start evaluating this, what we want to do is go ahead and simplify the argument inside the absolute value. Well six plus negative two is gonna give us six minus two And 6 -2 is going to give us four. So what we have is six times the absolute value of four. Now the absolute value represents the absolute distance between two numbers in here we have a distance of four but the absolute value just allows you to keep that as a positive value. So evaluating this is going to give us six times positive four and six times positive four is gonna give us which is gonna be our solution and the answer to this problem is going to be seen. So I hope this video helps you in understanding how to evaluate absolute value expressions and I'll go ahead and see you all in the next video