Solving Multi Step Equations Worksheet – Find free multi-step equation worksheets and other educational and comprehension resources for solving multi-step equation worksheets
Multistep equation solving occurs when there are multiple similar terms on the same side of a linear equation. The first thing we need to do is recognize that similar terms are on the same side of the equals sign. Once we know that there are similar terms on the same side of the equation, we need to combine them by adding or subtracting them. After combining similar terms, solve the equation as you would any other two-step equation. The first step in solving a two-step equation is to find all the constants (numbers) on one side of the equal sign and the coefficients and variables on the other side. To do this, we need to use the addition and subtraction properties of the equations to find the constants on the opposite side of the variables. Once the constant is separated from the variable, we must use multiplication or division equality to cancel the variable’s coefficient. You can always check the answer by substituting the solution into the variable equation. The multi-step equation solving worksheet is very helpful when working on this topic.
Solving Multi Step Equations Worksheet
Fundamental Topics: Combine terms such as partition properties, two-step equations, one-step inequalities, two-step inequalities, and multi-step inequalities.
Equations And Expressions
Certain rules must be followed when solving multi-step equations. The main thing you have to do is find each of the variables on one side of the equation. Must be placed or subtracted. The next step in solving the multistep equation is to find the constants on opposite sides of the equal sign. Adds or subtracts a constant with the goal of having a constant on one side and a variable on the other. The final step in solving the multistep equation is to divide by the coefficient of the variable to be corrected.
Watch our free video on how to solve multi-step equations. This video shows how to solve the problem in the free Multi-Step Equation worksheet available in the email above.
The first problem in the multi-step equation worksheet shows that 1 plus 4x and 3 equals 20. The first step in solving this multi-step equation is to combine similar terms. What we’re going to do is go ahead and combine the constants. because these are two terms on the same side of the equation. After combining these, do 1 plus 3. We need to take 4x, which is also on this side, and equal it to 20, which is on the other side. All we did in this step was combine terms like constant 1 and constant 3. I did 1 plus 3 to get 4 and moved everything else down as is. The next step is to go ahead and find constants on one side of the equation symbol and variables and coefficients on the other. In this case, subtract 4x or, sorry, subtract 4 from this side. Whatever you do on one side, you must do it on the other. Subtracting 4 cancels out 4 on this side leaving only 4x, subtracting 4 from 20 on this side gives 16, and the final step is division. It’s like four times X. The opposite of 4 times X is 2/4, and what you do on one side must also be done on the other. 4 is canceled on our side, leaving only X. Now, dividing 16 by 4 gives 4, of course. The answer is x = 4.
In the following problem from the Multistep Equation Worksheet, x plus 15 plus x equals 55. Now combine variables when combining like terms instead of combining constants. Two similar terms on this side of the equation are X and X. Adding X and X gives you two x’s or two x’s. Then subtract the positive 15 and subtract the equal 55. Then the next step in this multi-step equation is to find 15 on that side of the equation. Only variables remain on that side. Subtract 15 to get a plus or remove a plus 15. Now minus 15, then minus 15, these cancel out and there are two X’s on this side, equal to 55 minus 15. teeth. 40. The final step is to remove this factor of 2. It’s like double X. Divide. Then divide this side by 2 as well. The two cancel out having X on this side, and 40 divided by 2 is 20.
Solving Two Step Equations
The final problem to tackle with the multi-step equation is Problem 8. 8 becomes 10 plus 8x minus 18 which equals minus 8. For the 8 terms, this time combine the two terms. 10 plus minus 18 10 minus 18 or 10 plus minus 18 gives minus 8. The next step is to find 8x on just this side of the equation. Add an 8 here so that the negative 8 of the positive 8 cancels out. Add 8 to the other side they canceled and drop 8x to that side. Here we have minus 8 plus 8 which is zero. Then the final step is to divide this side by 8. Because that’s something like 8 times x. To get rid of those 8 X’s, we need to divide by 8 and divide this side by 8 as well. Of course, the 8 is canceled, leaving only X, which is 0 when divided by 8. The problem with the multi-step equation worksheet is that 0 equals x.
Join thousands of other education professionals with the latest education tips and tactics delivered to your inbox. This product should only be used by the teacher who purchased it. Please do not share this product with other teachers. If this will be used by multiple teachers, please purchase the correct number of licenses.
This website uses cookies to improve your experience. We assume that you agree to this, but you can opt out if you wish. Accept cookie settings
This website uses cookies to improve your experience while browsing the website. Of these cookies, the cookies classified according to your needs are stored in your browser as they are essential for the basic functioning of the website. We also use third-party his cookies that help us analyze and understand how you use this website. These cookies are stored in your browser only with your consent. You also have the option to delete these cookies. However, opting out of some of these cookies may affect your browsing experience.
Variable On Both Sides
Necessary cookies are absolutely essential for the proper functioning of the website. This category only includes cookies that ensure basic functionality and security features of the website. These cookies do not store personal information.
Cookies that are not specifically necessary for the website to function and are used in particular to collect user personal data through analytics, advertisements or other embedded content are called non-necessary cookies. It is mandatory to obtain user consent before placing these cookies on the website.