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Site Navigation Solving Multi-Step Equations In multi-step equations, you will need to make use of the techniques used in solving one-step and two-step equations. You may want to review those topics before beginning the examples in this lesson. Just as with solving one-step or two-step or any equation, one goal in solving an equation is to have only variables on one side of the equal sign and numbers on the other side of the equal sign.
The other goal is to have the number in front of the variable equal to one. Keep in mind that the variable does not always have to be x.
These equations can make use of any letter as a variable. The strategy for getting the variable by itself with a coefficient of 1 involves Solving equations project opposite operations. For example, to move something that is added to the other side of the equation, you should subtract.
The most important thing to remember in solving a linear equation is that whatever you do to one side of the equation, you MUST do to the other side. So if you subtract a number from one side, you MUST subtract the same value from the other side. You will see how this works in the examples.
Solve This problem is typical of what you can expect to see in a multi-step equation. This equation has a variable on both sides of the equal sign. We must first put the variables on the same side. Now that we have isolated the variable on the left side of the equation, we can go about solving the new equation using techniques of solving one and two step equations.
Solve We must first make sure we have the variable only on one side. It does not matter which side we choose. The most important thing is to know how to get the variable only on one side.
Solve Before we begin to use any of our equation solving skills, we must first simplify the equation by using the distributive property and eliminating the parentheses. Now we simplify by combining like terms. At this point, we can use our equation solving skills to find the solution to the equation.
Be very careful with the last example.
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Maths problem solving resources. I have started to collate sets of questions by topic - download these from my Problem Sets page. Please let me know if you find any broken links.
Math series Solving math word problems. There are two steps to solving math word problems: Translate the wording into a numeric equation that combines smaller "expressions". mathcentrecommunityproject encouraging academics to share maths support resources AllmccpresourcesarereleasedunderanAttributionNon-commericalShareAlikelicence.
A two-step equation is as straightforward as it sounds. You will need to perform two steps in order to solve the equation. One goal in solving an equation is to have only variables on one side of the equal sign and numbers on the other side of the equal sign.
The other goal is to have the number in front of the variable equal to one. The variable does not always have to be x.
This project is a good companion to a linear equations unit that could provide a rich context to help students think about using these equations to solve a real world problem, instead of just a “problem”.