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If you want solving one step equations explained in another way, watch this video.

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Video transcript

Now that we're comfortable with the "why" of why we do something to both sides of an equation, let's see if we can apply it to some equations to solve for an unknown variable. So let's say that you have x plus seven is equal to ten, and I want to solve for x. All its saying is something plus seven is equal to ten, and you might be able to figure that out in your head, but if you want to do it a little bit more systematically, you're like well just all I want on the left hand side is an x. Well if all I want on the left hand side is an x I'd want to get rid of the seven. I want to subtract seven from the left-hand side, but if I want to maintain an equality here, whatever I do to the left-hand side I also have to do to the right-hand side going back to our scales that's so that we can keep our scale balanced, so that we can say that the left is still equal to the right. And so what we're going to be left with is x and then the sevens cancel out is equal to ten minus seven is equal to three. So that unknown is three, and you can verify it, three plus seven is indeed equal to ten. Let's try one more. Let's say we have a minus five is equal to negative two. So this is a little bit more interesting since we have all of these negative numbers here, but we can use the exact same logic. We just want an a over here on the left-hand side so we have to get rid of this negative five somehow. Well the best way of getting rid of a negative 5 is to add five to it. So I'll do that. So I will add five to the left-hand side. But if I want the left-hand side to stay equal to the right-hand side, whatever I do to the left I have to do the right. So I'm going to have to add five on the right-hand side as well, and so on the left-hand side I'm left with a, and then the negative five and the positive five cancel out and on the right hand side, and they're going to stay equal because I did the same thing to both sides, we have negative two plus five which is equal to three. So a is equal to three. Once again you can verify it. Three minus five is indeed equal to negative two.

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One-step addition & subtraction equations (video) | Khan Academy

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If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

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If you need more practice with input / output (plug in x to get y), play this function machine game!

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Discover algebraic thinking with a function machine at MathPlayground.com!

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If you need more practice knowing which fractions and decimals are equivalent, play this game.

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Fraction Decimal Scale | MathPlayground.com

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Balance fractions and decimals at MathPlayground.com!

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If you need more practice with fractions, play this game.

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Problem Solving - complete mathematical puzzles

Common Core Connection for Grades 3 and 4

Recognize and generate simple equivalent fractions.
Explain why the fractions are equivalent by using a visual fraction model.
Decompose a fraction into a sum of fractions with the same denominator.
Compare two fractions with different numerators and different denominators.
Recognize that comparisons are valid only when fractions refer to the same whole.

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Triplets | Equivalent Fractions | Math Playground

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Play Triplets: Equivalent Fractions at Math Playground - Make trios of equal fractions!

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If you need solving equations with one step, this website would be helpful- visuals and videos

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There are four things that you must remember when solving any equation AND everything must be mathematically correct!

Your goal is to get the variable that you are solving for by itself on one side of the equation.

To eliminate a term on one side of the equation, you use the opposite mathematical operation.

Whatever you do to one side of the equation, you MUST do to the other side of the equation. This keeps the equation balanced!

Always check your answer by substituting the value back into the original equation.

Let's take a closer look at the three rules above in an example problem.

Example 1: Addition Equations

Here we have two more examples of how to solve a one step addition equation! I've even thrown in a few negatives, because that can sometimes confuse you, especially if you don't remember your addition integer rules or your subtraction integer rules.

Example 2: One-step Addition Equations

If you are the type of student who prefers to "see and hear" how this problem is solved, then watch the video below for a step-by-step solution.

Example 3: Working with negatives

Addition equations are pretty easy to solve. Remember that the opposite of addition is subtraction, and whatever you do to one side, you must do to the other side!

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There are four things that you must remember when solving any equation AND everything must be mathematically correct! Your goal is to get the variable that you are solving for by itself on one side of the equation. To eliminate a term on one side of the equation, you use the opposite mathematical operation.

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IXL | Solve equations: mixed review | 8th grade math

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Improve your math knowledge with free questions in "Solve equations: mixed review" and thousands of other math skills.

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Scroll down and find a skill you need more practice with and try some problems on paper.

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Practice Problems and Videos

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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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Are the algebra topics we are covering going well, but you know you struggle with Geometry? Try picking a skill from the Geometry Link below to help yourself improve those skills.

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Geometry | 8th grade | Math | Khan Academy

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In this topic, we will learn about special angles, such as angles between intersecting lines and triangle angles. Next, we will learn about the Pythagorean theorem. We will find volume of 3D shapes like spheres, cones, and cylinders. Finally, we will learn about translations, rotations, reflections, and congruence and similarity.

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Solving Equations Using the Distributive Property

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Solving Equations Using the Distributive Property

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Video

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Distributive Property Equations - Example 3

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For more help with distributive property equations, please visit: http://www.algebra-class.com. Struggling? Algebra-class can help you through your Algebra studies.

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Practice Form

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Feel like you have mastered what we are working on in class? Try learning something new about Laws of Exponents to help prepare for Algebra next year!

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Simplifying expressions with exponents | Algebra I | Khan Academy

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If you need help solving equations with fractions this video would be helpful.

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Solving Two Step Equations Involving Fractions

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You may play one soccer game and then move on to a different link.

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One-Step Equations Soccer Game for Tablets and iPads

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You may play one basketball game and then move on to a different link.

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Play this engaging one step equation game.

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These would be good notes to put in your Toolkit.

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To solve an equation we find the value of the variable that makes the equation true. For more complicated, fancier equations, this process can take several steps.

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Sorted by standard

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In the last grade before high school, students work with equations and functions, and perform calculations that analyze 2D and 3D shapes in new ways. As the material gets increasingly difficult, our popular online games ensure that pupils remain engaged and excited about doing math!

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grade 8 math games free practice common core standards numberproperties decimals fractions comparison algebra geometry ratios mixedequations multiplication division addition graphing stats

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In the last grade before high school, students work with equations and functions, and perform calculations that analyze 2D and 3D shapes in new ways. As the material gets increasingly difficult, our popular online games ensure that pupils remain engaged and excited about doing math!

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It would be a good idea to pause this video and take notes in your Toolkit.

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Introduction to solving an equation with variables on both sides | Algebra I | Khan Academy

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BEST Simplifying Algebraic Expressions - FUN LEARNING MATH!

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What student would not want to learn about math this way! An exciting and catchy video set to the music of RHYTHMetric's well known beat. Highly educational and lends itself to being paused, replayed, and discussed to achieve maximum benefit. RHYTHMetric - FUN LEARNING MATH!