In Exercises 121–128, write each English phrase as an algebraic e...

Question

In Exercises 121–128, write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. A number decreased by the sum of the number and four

Accepted Answer

Hello today we're going to be rewriting a phrase as a simplified algebraic expression. So the phrase given to us is the number Y is decreased by the sum of 18 and this number. So let's go ahead and take a look at the first part of the sentence, the number Why? So the number y is just meaning that you have a variable, that is why. And this is being decreased. Or in other words you're subtracting another value By the sum of 18 and this number. So what the phrase this number means, it's just referring to our variable why? And this is gonna be a sum of another number 18? So this part of the sentence represents 18 plus y. So putting all three parts of this phrase together is going to give us the algebraic expression why minus the quantity plus. Why? Now what we need to do is go ahead and simplify this expression. In order to simplify this expression, we're gonna want to distribute this negative sign into the parentheses. Doing so is gonna give us why? Minus 18 minus y. And now we just need to combine like terms well why can be combined with negative Y. And why minus Y. Is just gonna cancel itself out. So what we are left with is negative 18. And that's going to be the simplest version of this algebraic expression. And the answer to this problem is going to be be So I hope this video helps you in understanding how to rewrite a phrase as an algebraic expression. And I'll go ahead and see you all in the next video.

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