Simplify the algebraic expression. 5(2x - 3) + 7x

Question

Accepted Answer

Welcome back everybody. I'm so glad you're here. We're going to simplify this expression and in order to do that we're going to be looking at these pem Da's steps parentheses. Exponents, multiplication, division addition and subtraction as you've learned about in the past. And we're going to especially for this last one we're going to only look for like terms to add and subtract and that will get it as simplified as possible. So let's take a look at the problem nine X times three plus one over x minus six X. Parentheses. There are parentheses but we can't add or subtract we can't add those two terms because they're not like terms. So we can't do anything with parentheses. Um exponents. There are no exponents now multiplication and division both happen at the same time working left to right. So multiplication on the left. Well we've got the nine X times the three and times the one over X. That's going to be distributed. So that'll be 27 X plus nine X over X. And will carry down that minus six X anymore multiplication or division reading from left right? Yes there is. There is going to be division with the nine X divided by X. Nine X divided by X. Is nine those X's cancel out. So now we've got 27 X plus nine and we carry down that minus six X. And now we are going to look at adding and subtracting from left to right. And we're only going to add and subtract like terms. So that gives us a 27 X. And then minus six X. As our like terms, combine those and we will have 21 X. Carry down that plus nine. And those two terms 21 X and plus nine are not like terms. So that's as far as we can go. And we look at our answers that is answer choice C. For our final answer. Well done, we'll catch you on the next one.

Simplify the algebraic expression. 5(2x - 3) + 7x

Key Concepts

Distributive Property

Combining Like Terms

Simplifying Expressions

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