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. The difference between the product of six and a number and negative two times the number

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 product of 21 the number B minus this number times negative seven. So let's just go ahead and take this piece by piece and start with the first half of this phrase. The product of 21 and the number B. Okay, so what this means is we're taking a product so we're multiplying two numbers together. So what two numbers are we multiplying while we are told that we're taking the product of 21 the number B or in this case B is just a variable. So that's gonna be 21 times B. And 21 times B is just gonna be 21 B. Alright now let's pay attention to the second half of the sentence. We are minus ng. This value from this number times negative seven. So this is a little tricky to understand but minus Ng means subtraction. So we're taking this value and we're subtracting another value from it. But what's that number other value that we're subtracting from? 21 B. While it's this number B times negative seven. So this number is referring to the variable B. And is being multiplied by negative seven. So that means that we're subtracting the product of negative seven and B from 21 B. While negative seven times B is going to be negative seven B. So the whole phrase expresses an algebraic expression is going to be 21 B minus negative seven B. Now, what we need to do with this is go ahead and simplify this. Well, we're subtracting a negative number which is going to result in a positive number. So rewriting this is going to give us 21 B plus seven B. And 21 B plus seven B is equal to B, which is the simplest version of this phrase or the algebraic expression. And that means that the end to this problem is going to be be. So. I hope this video helps you in understanding how to rewrite a phrases algebraic expression. And I'll go ahead and see you all in the next video.

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