Are you ready to dive into the "real world" of inequalities?
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 using 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. It is very easy to make an error with the signs either when working with the -3z terms or when dividing by Be careful not to make arithmetic mistakes that can cause an error with the sign of your answer.Online homework and grading tools for instructors and students that reinforce student learning through practice and instant feedback.
Solving Word Problems in Algebra is easy if you know the key steps!
Try solving these inequality word problems. Free Pre-Algebra worksheets created with Infinite Pre-Algebra. Printable in convenient PDF format. Richard Rusczyk is the founder of Art of Problem Solving. He is co-author of the Art of Problem Solving, Volumes 1 and 2 and Intermediate Algebra, and author of Introduction to Algebra, Introduction to Geometry, and Precalculus.
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