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2:21 Shmoop

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Translation into Mathematical Expressions by Shmoop

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We find it's easiest just to have a mathematical expressions translator follow you everywhere. That way, you never have to do any of the work. You just stand there and let him figure everything out for you. Translation into Math Expressions by Shmoop! http://www.shmoop.com/video/translation-into-mathematical-expressions/

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1:37 by Shmoop

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In life, you've got your x's and you've got your y's. Okay, maybe it's just in algebra. But the x's have to stick together, as do the y's. Simply the way it is. We didn't make the rules -- we just live here. Combining like terms brings the x's and the other x's together...

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2:30 Youtube

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Want to be a part of the Integers Club? Are you a whole number? If you answered yes to both, congrats you're in. If you answered yes to only one, tough luck, try again next time. Want to learn more about Integers? Come check out our site. http://www.shmoop.com/basic-operations/integers.html

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Different Types of Solutions of Equations by Shmoop

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Different Types of Solutions of Equations by Shmoop

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Youtube

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Different Types of Solutions for Equations by Shmoop

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As with single variable equations, systems of two-variable equations can have one solution, no solution, (when lines are parallel), or infinitely many solutions (when two lines are the same). For the last instance, don't bother counting the solutions. It might take a while. http://www.shmoop.com/common-core-standards/ccss-8-ee-7b.html

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Solving Proportions using Cross Products by Shmoop

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Solving Proportions using Cross Products by Shmoop

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Shmoop

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Solving Proportions Using Cross Products by Shmoop

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This video covers how to use cross products to solve for a missing number in a proportion by setting that proportion with a variable over the product equal to its equivalent ratio. Solving Proportions: http://www.shmoop.com/ratios-percentages/solving-proportions.html

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Solving Multi-Step Equations with Fractions by Shmoop

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Solving Multi-Step Equations with Fractions by Shmoop

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Shmoop

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Solving Multi-Step Equations with Fractions by Shmoop

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It's the annual Arctic Ball, and each couple needs to bring 5 icebergs and they need to be brought in 1/3's of an iceberg. If Parker doesn't have much ice, but Penny does, how much ice does Penny need to bring? It's kind of a bummer to have to do everything for your guy, isn't it?

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Solving Multi-Step Equations with Combining Like Terms by Shmoop

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Solving Multi-Step Equations with Combining Like Terms by Shmoop

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Shmoop

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Solving Multi-Step Equations by Combining Like Terms by Shmoop

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Combining like terms is just putting all numbers with the same variable to one side of the equation, and then solving for that variable. Just remember to not put un-like variables together. Trust us, we've tried. It would take Dr. Phil to get those guys to get along.

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Youtube

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order of operations (literature subject)

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Please Excuse My Dear Aunt Sally might sound sort of confusing, but the Order of Operations is just the opposite. This video explains PEMDAS, the rule for remembering how to solve a complex equation in the right order to ensure the correct answer every time.

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Shmoop

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Solving Two-Step Equations Using Addition and Subtraction by Shmoop

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http://www.shmoop.com/equations-inequalities/solving-equations-one-variable.html Solving two-step equations can be tricky, but at least they're easier than doing the Texas Two-Step. We trip over our feet so often you'd think we were a centipede.

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Algebra Basics: Solving 2-Step Equations

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Algebra Basics: Solving 2-Step Equations

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Math Antics

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Algebra Basics: Solving 2-Step Equations - Math Antics

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Algebra Basics: Solving Basic Equations Part 2

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Algebra Basics: Solving Basic Equations Part 2

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Math Antics

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Algebra Basics: Solving Basic Equations Part 2 - Math Antics

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Algebra Basics: Solving Basic Equations Part 1

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Algebra Basics: Solving Basic Equations Part 1

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Math Antics

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Algebra Basics: Solving Basic Equations Part 1 - Math Antics

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Math Antics

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Algebra Basics: What Is Algebra? - Math Antics

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Math Dude

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MATH DUDE Unit1-3 Solving Multi-Step Equations

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Math Dude

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MATH DUDE Unit1-2 Solving One Step Equations

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Solving simple equations is child's play for the Math Dude.

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Math Dude

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MATH DUDE Unit1-1 Graphic Representations

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The Math Dude steps up and graphs real-world situations.

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Kahn Academy

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We've learned about order of operations and combining like terms. Let's layer the distributive property on top of this.

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Kahn Academy

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Let's say that I've got 2 Chuck Norrises, or maybe it's Chuck Norri. 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? Well, 2 Chuck Norrises, we can represent this as literally a Chuck Norris plus a Chuck Norris. So let me do that, a Chuck Norris plus another Chuck Norris, 2 Chuck Norrises. You could also do this 2 times Chuck Norris, and this is just another way of representing it. And 3 Chuck Norrises-- you could do that as a Chuck Norris plus a Chuck Norris plus another Chuck Norris. 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 x plus an 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. 3x's are going to be that value plus that value plus whatever that value is. 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 think 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. You have 2 Chuck Norrises and 3 Chuck Norrises, so they're still going to simplify to 5 Chuck Norrises. . And then we would separately think about the plums. We have 7 plums, 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 a different number. So all I can do is really add the x's. And then I get the 5x. And then, I'd 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. 1 plus 5 is going to be equal to 6.

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Intro to combining like terms (video) | Khan Academy

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Let's say that I've got 2 Chuck Norrises, or maybe it's Chuck Norri. 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?

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