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The complete summary of Solving One Step Equations

One Step Equations are algebraic equations that can be solved in only one step. Each equation will have numbers and a variable. The variable is a representation of an unknown number that you are trying to figure out. In order to find the number that the variable is equal to you have to use addition, subtraction, multiplication, or division. When you are deciding which operation to use, you have to use the opposite operation that is being used in the equation. For example, the opposite of addition is subtraction, so if you needed to solve an equation with an addition sign, you would use subtraction because it is the opposite of addtion. You know the equation has been solved when you have a final solution of the variable equals a number.

Common Core Standard: 6.EE.7

Return To: Home, 6th Grade

Here’s how to Solve One Step Equations easily

Are you wondering whats the quickest way to learn how to do one step equations? Read our quick guide below.

One Step Equations are math equations that are solved in just a single step. Every equation has one variable and multiple numbers. The variable represents an unknown number that you are attempting to solve for. To find the number that the variable is equivalent to you need to use multiplication, division, addition, or subtraction. When you are choosing which operation to utilize, you have to find the inverse of the operation being used in the equation. For instance, the inverse of multiplication is division, so in the event that you expected to solve an equation with a multiplication sign, you would use division since it is in the inverse of multiplication.

The easy step for answering any One Step Equations Example Problem

Use the opposite operation of whatever is being used in the One Step Equation to solve for the variable.

Try Some One Step Equations Practice Problems

Watch the video explanation of our One Step Equations Worksheet

Watch our free video on how to solve 1 Step Equations. This video shows how to solve problems that are on our free One Step Algebra Equation Worksheets that you can get by submitting your email above.

Watch the free One Step Equation Practice video on YouTube here: Solving One Step Equation Video

Video Transcript:

This video is about solving one-step equations. You can get the one step equation worksheet used in this video for free by clicking on the link in the description below.

One-step equations are equations that you can solve in one step, hence the name easy one step equations. Typically, when solving one-step equations, you will either use addition, subtraction, multiplication, or division. The trick in solving one-step equations is to keep the equation balanced. This means that whatever you do to one side you also have to do to the other side. Think of the equal sign as sort of a divider represents two equal sides and that the two sides have to remain balanced. If you perform an operation on one side you also have to do the same exact operation on the other side.

If you look at our example here, we have x plus 3 equals 4. We are trying to solve for x. We want to know what x is equal to. In order to solve for x we have to undo this plus three. This plus three is in our way and we have to get rid of it. In order to get rid of this plus three you have to undo it or do the opposite of plus three. In this case the opposite of plus three is minus three so in order to get rid of plus three we’re going to do minus three. The reason we’re doing that is so the threes on this side go away. Remember our equal sign separates the equation into two sides that must remain equal. Whatever you do on one side you also have to do to the other side of the equal sign. In this case since we did minus three on this side, we also have to do minus three on the other side. You now have 4 minus 3 which is 1. We have 1 on this side and then all that’s left on our left side is x. This plus 3 is now canceled because we did minus three and all that’s left over here is x and four minus three is one so our solution is x equals one. I know that we’re done simplifying when we have x equals a number on the other side of the equal sign. Let’s do a couple practice problems on our one-step equations worksheet.

The first problem we’re going to complete on our one step equation worksheet for showing you how to solve one-step equations is problem one. This problem gives us x plus one equals four. Now we know that whatever we do to one side of the equation we also have to do the other. In this case we have x minus 1 equals 4. We have to do the opposite of -1 because we’re trying to get x on this side by itself. In order to get x by itself we have to get rid of this minus 1. The opposite of minus 1 is plus 1. We’re going to do plus 1 here so that this minus 1 and this plus 1 cancel and then whatever you do to one side of the equal sign you also have to do to the other. We’re also going to do a plus 1 on this side on the left side all that’s left is x. Now we have our x we have our equal sign in the middle that we bring straight down finally we’re going to do 4 plus 1 to get our solution of 5. The solution to this one step equation is x equals 5.

The next problem we’re going to complete on the one step equations worksheet 6th grade is number two which gives us three x equals twenty-one. Now three x is like saying three times x. This is like saying three times x equals twenty one. The opposite of 3 times something or opposite of multiplying something times 3 is to divide by 3. We’re going to divide this side by 3 so that 3 divided by 3 will cancel. The 3s will cancel and we’re left with just x on this side and then whatever you do to one side you also have to do the other. We also have to divide this side by 3 and 21 divided by 3 is equal to 7. Our solution is x equals 7.

The last problem we’re going to complete on our one step equations worksheets is number seven. This problem gives us x minus 8 equals two. Now the opposite of minus eight is plus eight. We’re trying to get rid of this minus eight because we want x by itself on one side so we’re going to plus eight on this side and we’re also going to do plus 8 on the other side because whatever you do to one side you also have to do the other. This minus 8 and this plus 8 cancel they go away and we’re left with x equals and then two plus eight on the other side which is ten. Our solution to number seven is x equals ten. I hope this video was helpful for teaching you solving one-step equations. Try all the practice problems by downloading the free one step equations worksheets above.