3 Quick Tips for Mastering any Multi Step Equations Worksheet

Get the free Multi Step Equations Worksheet and other resources for teaching & understanding solving Multi Step Equations Worksheets

A Short Explanation for How to Solve Multi Step Equations

Solving Multi Step Equations happens when a linear equation has multiple Like Terms on the same side of the equal side. The first thing you must do is recognize that Like Terms exist on the same side of the equal sign. Once you have realized that the equation has Like Terms on the same side, you must Combine the Like Terms by either adding them together or subtracting them. After you Combine the Like Terms, you solve the equations just like any other Two Step Equation. The first step in solving Two Step Equations is to get all of the constants (numbers) on one side of the equal sign, and the coefficient with the variable on the other side. In order to do this you must use the addition and subtraction property of equality to get the constants on the opposite side as the variable. Once the constants are separated from the variable, you must use the multiplication or division property of equality to cancel out the coefficient on the variable. You can always check your answer by substituting your solution back in to the equation for the variable. Our Solving Multi Step Equations Worksheet are very helpful when working on this topic.

Common Core Standard: 8.EE.C.7

Basic Topics: Combining Like Terms, Distributive Property, Two Step Equations, One Step Inequalities, Two Step Inequalities, Multi Step Inequalities

Return To: Home, 8th Grade

Clarifying Multi Step Equations Examples

So are you wondering how to do multi step equations? Then you’ve come to the right place. When solving Multi Step Equations, you should follow certain rules. The main thing you should do is get every one of the variables on one side of the equation. To do this, you should use the addition and subtraction property of equality to include or subtract the term with the variable so they are on a similar side. The next thing when solving Multi Step Equations, is to get the constants on the opposite side of the equivalent sign. You add or subtract a constant with the goal being that you have constants on one side and variables on the other side. The last step when solving Multi Step Equations is to divide by the coefficient of the variable so it will offset.

What are the Steps for Completing any Multi Step Equations Practice Problem?

Steps to solve Multi Step Equations:

Combine the Like Terms of one and three by adding them together.
Subtract four from both sides so that you have the variable on one side and constants on the other.
Divide both sides by four so that you solve the equation for x equals four.

Multi Step Equations Practice Problems Quiz

A Short Video on our Solving Multi Step Equations Worksheet

Watch our free video on how to solve Multi Step Equations. This video shows how to solve problems that are on our free Multi Step Equations Practice Worksheet that you can get by submitting your email above.

Watch the free Multi Step Equation Examples video on YouTube here: Multi Step Equations Worksheet Video

Video Transcript:

In this video we’re going to show you some problems from our multi step equations worksheet with answers.

Our first problem in our multi step equation worksheet gives us 1 plus 4x plus 3 equals 20. The first step in solving this multi-step equation is to combine like terms. What we’re going to do is we’re going to go ahead and combine the constants because those are the two like terms that are on the same side of the equation together, after we combine these we’ll do 1 plus 3, which gives us 4. We have to bring down the 4x which is also on this side and then the equals 20 which is on the other side. All we did in this step is we combined the like terms of the constant 1 and the constant 3. We did 1 plus 3 and we got 4 then we brought everything else straight down. The next step is to go ahead and get our constants on one side of the equation sign and our variable with the coefficient on the other. In this case we’re going to subtract 4x or I’m sorry we’re going to subtract 4 from this side, whatever you do to one side you also have to do the other. We’re going to subtract 4, the 4’s on this side cancel and you’re left with just 4x and then 20 minus 4 on this side is 16, and then finally the last step is to divide. This is like 4 times X. The opposite of 4 times X is 2/4 and then whatever you do to one side you also have to do to the other. On this side the fours cancel and you’re left with just X and then over here we have 16 divided by 4 which of course is 4. Our answer is x equals 4.

Our next problem in our multi-step equations worksheet gives us x plus 15 plus x equals 55. Now this time when we combine like terms instead of combining constants we’re going to combine variables. The two like terms on this side of the equation that are same are X and X. When we add one X plus one X that will give us two x’s or two x and then you bring down your positive fifteen and you bring down your equals 55. Then the next step in this multi-step equation is to get our 15 over on this side of the equation that we’re left with just the variable on this side. In order to get our plus or in order to get rid of our plus 15 we’re going to subtract 15. Minus 15 here and then minus 15 here, these will cancel and we have two X on this side equals 55 minus 15 which is 40. And then finally our last step is to get rid of this coefficient of two. This is like two times X. We’re going to divide and then on this side we’re also going to divide by two. The twos will cancel you have X on this side and then 40 divided by two is 20. Our answer to this multi-step equation is x equals 20.

The last problem we’re going to work on on our multi-step equation is problem eight problem. Eight gives us negative 8 equals 10 plus 8x minus 18. In the case of number eight our like terms are the two terms we’re going to combine this time. Our 10 and negative 18 when you add 10 minus 18 or 10 plus negative 18 together you will get negative 8, then you bring down your 8x your equal sign and your negative 8 on this side. Then the next step is we have to get 8x on this side of the equation by itself. We’re going to go ahead and add 8 here so that the negative 8 in the positive eight will cancel and then whatever you do to one side you do to the other. You add 8 to the other side these guys cancel and you bring down your 8x on this side. Over here you have negative 8 plus 8 which is zero. Then the final step is to divide this side by eight because this is like 8 times x. To get rid of that 8 times X we divide by 8 and then you have to also divide this side by 8. Of course the 8’s cancel and you’re left with just X and then 0 divided by 8 is 0. Our last answer for our last problem on our multi-step equations worksheet is as 0 equals x. Try all the practice problems by downloading the free multi step equations worksheet 8th grade above.