How to Use Equations
Find something you can use an equation to solve., Define your variables., Figure out which variable is independent and which one is dependent., Set the domain of the equation., Know what you're solving for and know what you're given., Write the...
Step-by-Step Guide
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Step 1: Find something you can use an equation to solve.
This will determine the meaning of your equation.
Unless you're dealing with algebra by itself, your equation will be useless if you don't know what it means.
An example of a useful equation is .15p = t, which will determine how much tip(t) you should give for a meal that costs p. -
Step 2: Define your variables.
In the example above, p is the price of the meal, and t is the tip given. , The independent variable will be the "input" of the equation; basically, it will determine the dependent variable.
In the example, this would be the price of the meal, because it is what determines how much tip you should give.
The dependent variable will be the "output" of the equation; basically, it depends on the independent variable.
In the example, this would be the tip you should give, because it is determined by how much the meal costs. , Variables can be anything, but in most cases not every value of a variable would make sense for the situation described by the equation.
In the example, you can exclude any negative values and zero, because you'll never have to pay a negative amount for a meal, and if it's free, you don't have to pay a tip. , Usually you'll be trying to solve for the dependent variable when you're given the independent variable, but sometimes you'll need to solve for the independent variable when you're given the dependent variable.
In the example, you could either be trying to figure out how much you'll have to tip for a meal that costs something like $10.00, or you could be trying to figure out how much a meal would cost if you had to tip $5.00. , This will help organize your thoughts. , This means that if you know the cost of the meal, put that everywhere you see a p in the equation. .15p = t would become .15(10.00) = t if the price of the meal is $10.00. ,, Ask yourself if your answer makes sense.
Does paying a negative tip make sense? Does paying a $50.00 tip for a salad that cost $2.00 seem reasonable? If it doesn't, you need to review your work, and see if you made any errors.
Check your calculator's memory if it seems like you didn't make any errors on paper. , Once you're reasonably sure about your answer, go ahead and use it for whatever you need it for. -
Step 3: Figure out which variable is independent and which one is dependent.
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Step 4: Set the domain of the equation.
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Step 5: Know what you're solving for and know what you're given.
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Step 6: Write the equation
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Step 7: if you haven't already.
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Step 8: "Plug in" your known integers every time they appear in the equation.
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Step 9: Algebraically solve for the unknown.
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Step 10: Check your answer.
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Step 11: State the answer.
Detailed Guide
This will determine the meaning of your equation.
Unless you're dealing with algebra by itself, your equation will be useless if you don't know what it means.
An example of a useful equation is .15p = t, which will determine how much tip(t) you should give for a meal that costs p.
In the example above, p is the price of the meal, and t is the tip given. , The independent variable will be the "input" of the equation; basically, it will determine the dependent variable.
In the example, this would be the price of the meal, because it is what determines how much tip you should give.
The dependent variable will be the "output" of the equation; basically, it depends on the independent variable.
In the example, this would be the tip you should give, because it is determined by how much the meal costs. , Variables can be anything, but in most cases not every value of a variable would make sense for the situation described by the equation.
In the example, you can exclude any negative values and zero, because you'll never have to pay a negative amount for a meal, and if it's free, you don't have to pay a tip. , Usually you'll be trying to solve for the dependent variable when you're given the independent variable, but sometimes you'll need to solve for the independent variable when you're given the dependent variable.
In the example, you could either be trying to figure out how much you'll have to tip for a meal that costs something like $10.00, or you could be trying to figure out how much a meal would cost if you had to tip $5.00. , This will help organize your thoughts. , This means that if you know the cost of the meal, put that everywhere you see a p in the equation. .15p = t would become .15(10.00) = t if the price of the meal is $10.00. ,, Ask yourself if your answer makes sense.
Does paying a negative tip make sense? Does paying a $50.00 tip for a salad that cost $2.00 seem reasonable? If it doesn't, you need to review your work, and see if you made any errors.
Check your calculator's memory if it seems like you didn't make any errors on paper. , Once you're reasonably sure about your answer, go ahead and use it for whatever you need it for.
About the Author
Anna Roberts
Writer and educator with a focus on practical cooking knowledge.
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