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

Question

In Exercises 121–128, write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. Six times the product of negative five and a number

Accepted Answer

Hello. Today we're gonna be rewriting a phrase as a simplified algebraic expression. So the phrase given to us is a dozen times the product of the number G and negative 10. So in order to write this as an algebraic expression, let's go ahead and pay attention to the first part of this phrase, which is a dozen. So what does this mean? Well, a dozen is just another way of saying the number 12. Well, what are we doing with that number? While a dozen times the product means that we are multiplying this by a product of two other numbers. And what are the two numbers that we're multiplying 12 by? Well, we're taking the product of the number G and negative tent. That means that we're taking the numbers negative 10 and multiplying it by a variable G. So negative 10 times the variable G gives us negative 10 G. And what we're doing with this is multiplying it by 12. So this whole phrase represented as an algebraic expression is 12 times negative 10 G. Now, all we need to do is just go ahead and multiply these two values together in order to simplify this. Well, 12 times negative 10 is going to give us negative 120 G. And that's going to be the simplified version of this phrase. And the answer to this problem is going to be D. So I hope this video helps you in understanding how to rewrite this phrase as an algebraic expression and I'll go ahead and see you all in the next video

In Exercises 121–128, write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. Six times the product of negative five and a number

Key Concepts

Algebraic Expressions

Variables and Constants

Order of Operations

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