You will only need to perform one step 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 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.
Once you work through the examples, you may want to link to other lessons that require more steps. Solve Remember the goal is to have the variable by itself on one side of the equation. In this problem, that means moving the 5 to the other side of the equation.
Since the 5 is added to the variable, we move it to the other side of the equation by subtracting 5. However, if we subtract 5 from the left side of the equation, we MUST also subtract 5 from the right side.
Solve It does not matter that the variable in this equation is on the right side of the equation. The position of the variable is not an issue. Remember that the goal is to have the variable on one side by itself. It does not matter which side. To get the variable by itself, we need to add 3 to both sides.
Solve The variable in this equation is already on one side of the equation by itself.
There is no need to add or subtract anything to both sides. However, the number in front of the variable is not 1. The -3 that is in front of the variable indicates multiplication of -3 by x. The opposite operation of multiplication is division.
|Solving One-step Equations with Subtraction||Are you ready to dive into the "real world" of inequalities?|
|Example 2: Working with Negative Numbers||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.|
|Related Resources||How to use the Algebra Calculator Step 1:|
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So we will divide both sides by You should take note of the different ways of writing the answer.In this file, students will practice solving one and two step equations.
Best of all, this file is FREE! Students must be able to work with simple fractions in order to complete these puzzles. Students do not need to be able to use the distributive property to do these problems.
In this file, students will practice solving one and two step equations. Best of all, this file is FREE! Students must be able to work with simple fractions in order to complete these puzzles.
Students do not need to be able to use the distributive property to do these problems. Solving Word Problems in Algebra is easy if you know the key steps!
Try solving these inequality word problems. Practice solving inequalities in one step. If you're behind a web filter, please make sure that the domains *ph-vs.com and *ph-vs.com are unblocked.
Solving One and Two Step Equations Guided Notes: This is a set of guided notes designed to show students how to solve one and two step equations. Answer keys are included!
I give my students these guided notes one page at a time. Then, I post them on the smart board and we fill them out together.
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.