# Using the distributive property to write an equivalent variable expression

Factoring algebra Video transcript - In earlier mathematics that you may have done, you probably got familiar with the idea of a factor. So for example, let me just pick an arbitrary number, the number We could say that the number 12 is the product of say two and six; two times six is equal to Combining like terms Video transcript I've gotten feedback that all the Chuck Noris imagery in the last video might have been a little bit too overwhelming.

So, for this video, I've included something a little bit more soothing. So let's try to simplify some more expressions. So, this is the exact same thing as Well this, is the same thing as So, we can write it as 2 3xplus we have two "5". So, plus 2 5. But, you might say: I've essentially just distributed the two "2 3x " plus "2 5 ", And I would tell you: But with that out of the way, let's continue to simplify it.

So, when you multiply the 2 3xyou get 6x. If you multiply the 2 5you get Now, let's try something that's a little bit more evolved. Once again, really just things that you already know. Let's see if we can simplify this.

Well, let's work on the left-hand side of the expression.

## The distributive property & equivalent expressions

We just have to distribute the "7". So, this is gonna be 7 times 3y, which is going to give us 21y, Or, if I had three "y" seven times, this is going to be 21y either way you want to think about it.

And then I have "7" times We're going to be careful with the sign. This is "7" times negative 5. So, we simplified this part of it. Let's simplify the right hand side.

So, you might be tempted to say: But, I like to think of this as And we're just going to distribute the "-2" times "10", and then we're going to distribute the "-2" times "4y".

So, "-2" times "10" is "". And then "-2" times "4y" So, let's write a "-8y" right over here. And now we're done simplifying. Well no, there's a little bit more that we can do.

We can't add the "21y" to the "" or the "", because these are adding different things or subtracting different things. But we do have two things that are multiplying "y".

## Steps for Distributive Property Calculator for Constants

Let me do them all in this green color. You have 21y, right over here. And then, from that we are subtracting 8y. So 21 of something If I have 21 of something and I take 8 of them away, I'm left with 13 of that something.

So, those are going to simplify to 13y. And then, I have "" minus "20".Distributive Property with Variables. Model with algebra tiles to generate equivalent expressions. This video focuses on visualizing the distributive property. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.

As a member, you'll also get unlimited access to over 75, lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed. Click here to see ALL problems on Distributive-associative-commutative-properties Question How do you use the Distributive property to write an expression as an equivalent expression.

Home» Worksheet» 19 Best Of Distributive Property with Variables Worksheet Image» Distributive Property with Variables Worksheet Unique Write Equivalent Expressions Using the Distributive Property Of Pics. Guided Lesson - Rewriting expressions and using the distributive property to create equal expressions.

Guided Lesson Explanation - I might have not provided enough steps. I just never really see have students have trouble with these types of problems.

## Grade 6 » Expressions & Equations | Common Core State Standards Initiative

Practice Worksheet - The entire sheet is dedicated to creating equivalent expressions. A positive attitude is an important aspect of the affective domain and has a profound impact on learning. Environments that create a sense of belonging, encourage risk taking and provide opportunities for success help develop and maintain positive attitudes and self-confidence within students.

Simplifying expressions (video) | Khan Academy