How to Simplify Multi-Step Equations
It can be daunting to stare at a multi-step mathematical equation and be charged with the task of solving it. When you know that a particular math equation requires multiple steps it is best to approach the problem by simplifying it. Simplifying a multi-step equation breaks down and condenses similar functions so that you can complete the equation without having to work through all of the individual steps. As such, you may be able to solve the equation more efficiently and effectively.
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Instructions
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Evaluate the parentheses or brackets in the equation. Perform the function that the parentheses tell you to solve so that you can simplify the numbers within the parentheses. This is the first step in the order of operations.
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Combine the like terms in the equation. A multi-step equation will have a variety of similar variables that can be put together to simplify the process. For instance, if you have the expression "2x + 6x," then you can simplify it to "8x." Or, if you have an expression such as "15 - 3 + 2," you can simplify the expression to "14."
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Solve any radicals or exponents. For instance, if your equation contains the number "3" to the "second power," then the simplification of that expression is the number "9."
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Perform multiplication, division, addition and subtraction expressions that are left out of the parentheses, in this order. These expressions must be solved from left to right.
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Solve for the "x" in an algebraic equation. Move the "x" to one side of the equation so that you can find out its value.
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Tips & Warnings
Failure to follow the correct order of operations can result in you getting the wrong answer on a multi-step equation.
Remember the order of operations rule: Please Excuse My Dear Aunt Sally, which stands for "Parentheses," "Exponents," "Multiplication," "Division," "Addition" and "Subtraction."
References
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