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Inverse OperationsInverse operations are operations that "undo" each other. If you add 10 to a number, you can undo that by subtracting 10. If you multiply a number by 3, you can undo that by dividing by 3. Addition and subtraction are inverses. You can use addition to cancel out subtraction and vice versa. Multiplication and division are also inverses.
When you're solving an equation, the goal is to get the variable by itself. A "onestep equation" means there is only one step that needs to be done to solve for the variable. To get the variable by itself, you need to use the inverse operation. It's always a good idea to check your answer when possible. We'll show you how to plug your answer back into the equation to make sure it's correct. Equations with AdditionAddition and subtraction are inverses, you can use one to undo the other. If the equation involves addition, you will need to use subtraction to get the variable by itself.
Let's say we have the solve the equation below. When you solve an equation, the goal is to get the variable by itself on one side of the equation. In the equation above, 2 has been added to x. How do you undo addition? You use subtraction as the inverse operation. Step 1: Use the inverse operation to get the variable by itself. To undo adding 2, you need to subtract 2. Step 2: Check Your Answer Plug in 5 for x in the original equation. Does 5 plus 2 equal 7? Yes. This means you have the right answer. When you're solving an equation, you can think of it as a balance scale. Think of the equals sign as the balance point in the middle of the scale. The "weight" of the left and right sides of the equals sign have to be the same.
If you do anything to an equation, it's important to do it to both sides so that it stays balanced. We can't change the "weight" of one side without changing the other side by the same amount. Equations with SubtractionLet's try another equation, this time with subtraction.
Step 1: Use the inverse operation to get the variable by itself. To undo subtracting 3, we need to add 3. Make sure to add 3 to both sides of the equation. Step 2: Check your answer. Plug in 9 for x in the original equation. Does 9  3 = 6? Yes, the answer is correct. Equations with MultiplicationMultiplication and division are inverses, you can use one to undo the other. If the equation involves multiplication, you will need to use division to get the variable by itself.
Let's say you have to solve the equation below: Step 1: Use the inverse operation to get the variable by itself To undo multiplying by 3, we need to divide both sides by 3. Step 2: Check your answer Plug 4 in for x in the original equation. 3(4) = 12 Equations with DivisionLet's take a look at a onestep equation with division involved:
Step 1: Use the inverse operation to get the variable by itself To undo dividing by 2, we need to multiply by 2. Step 2: Check your answer Take your answer and plug it in for x in the original equation. Does 10 divided by 2 equal 5? Yes. YouTube blocked? Try watching the video here. Powered by Interact 
