Math video combining like terms with exponents

math video combining like terms with exponents

The terms of an expression are the parts of a mathematical expression that are separated by a plus (+) or minus (-) sign.

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Math video combining like terms with exponents Intro to combining like terms. Now, let's think about this a little bit more. Let's go back to this original expression, the 2 Chuck Norrises plus 3 Chuck Norrises. And let's say that I add another 2 plums. So this would be equal to 5 Chuck Norrises. And to that, I would add 3x's How many x's do I have? So you add that.
Math video combining like terms with exponents 419

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in frepple youtube browser. Main content. Math Algebra I Algebra foundations Combining like terms. Intro to combining like terms.

Simplifying expressions. Combining like terms challenge problem. Combining like terms with negative coefficients. Simplifying expressions with rational numbers. Combining like terms with rational coefficients. Next tutorial. Introduction to equivalent algebraic expressions. Current time: And to that I am going to add another 3 Chuck Norrises. So I'm going to add another 3 Chuck Norrises. And this might seem a little bit obvious, but how many Chuck Norrises do I now have?

You could also do this 2 times Chuck Norris, and this is just another way of representing it. And so we would have a grand total-- and this might be very simple for you. But you would have a grand total of 1, 2, 3, 4, 5 Chuck Norrises. So this would be equal to 5 Chuck Norrises.

Now, let's get a little bit more abstract here. Chuck Norris is a very tangible thing. So let's go to a little bit more of traditional algebraic notation. If I have 2x's and remember, you could do this as 2x's or 2 times x. And to that, I would add 3x's How many x's do I have?

Well, once again, 2x's, that's 2 times x. You could do that as an math video combining like terms with exponents plus rom international superstar soccer deluxe x. We don't know what the value of x is. But whatever that value is, we can add it to itself. And then 3x's are they're going to be that value. Let me do that in that same green color. And so how many x's do I now have?

Well, I'm going to have 1, 2, 3, 4, 5 x's. So 2x plus 3x is equal to 5x. And if you think about it, all we really did-- and hopefully, you conceptually get it-- is we just added the 2 numbers that were multiplying the x.

And these numbers, the 2 or the 3, they're called coefficients. Very fancy word, but it's just this constant number, this regular number that's multiplied by the variable. You just added the 2 and the 3, to get your 5x. Now, let's math video combining like terms with exponents about this a little bit more. Let's go back to this original expression, the 2 Chuck Norrises plus 3 Chuck Norrises. Let's say, to that, we were to add to some type of a-- let's we were to add 7 plums over here.

So this is my drawing of a plum. So we have 7 plums plus 2 Chuck Norrises plus 3 Chuck Norrises. And let's say that I add another 2 plums. I add another 2 plums here. So what this whole thing be? Well, I wouldn't add the 7 to the 2 to the 3 plus the 2. We're adding different things here. And then we would separately think about the plums. We have 7 math video combining like terms with exponents, and we're adding another 2 plums. We're going to have 9 plums.

Plus 9 plums, so this simplifies to five Chuck Norrises and 9 plums. Similarly, over here, instead of just 2x plus 3x, if I had 7y plus 2x plus 3x plus 2y, what do I now have? Well, I can't add the x's and the y's. They could very well represent math video combining like terms with exponents different number.

So all I can do is really add the x's. And then I get the 5x. And then, Math video combining like terms with exponents separately add the y.

If I have 7y's and to that I add 2y's, I'm going to have 9y's. If I have 7 of something and I add 2 of something, I now have 9 of that something. So I'm going to have 9y's. So you add that.

Do that in a different color. You add this and this. You get that. You add the x's. You get that right over there. So hopefully, that makes a little sense. Actually I'll throw out one more idea. So given this, what would happen if I were to have 2x plus 1 plus 7x plus 5?

Well, once again, you might be tempted to add the 2 plus the 1, but they're adding different things. These are 2x's. This is just the number 1. So you really just have to add the x's together. So you're going to say, well, I got 2x's. And I'm going to add 7x's to that. Well, that means I now have 9x's. And then, separately, you'd say, well, I've got just the abstract number 1.

And then I've got another 5. Up Next.

math video combining like terms with exponents

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