Solving word problems in algebra can be challenging. You've got to know how to translate the word problem to an equation, and then set it up properly so you can solve it. Use these tips to turn an algebra word problem into an equation that makes sense.
Read the Entire Problem
Before you try mapping out anything in a word problem, read the entire problem. Read it again, if you need to. Reading the entire problem can give you a basic idea what you need to do, so that you are prepared to map it out when you begin writing the equation.
Map out a Sentence that Mirrors the Equation
In algebra-word-problem solving, it may be easier to put the equation in sentence form before you try writing the actual equation. Take this example: Kenny has 18 jelly beans. Together, Kenny and Marta have 37 jelly beans. How many jelly beans does Marta have?
You could create the following sentence, which would then translate into an equation: Kenny's Jelly Beans + Marta's Jelly Beans = Total Jelly Beans (18 + x = 37)
Creating a sentence to help you map out the form that the equation takes is easier than going directly from the word problem to the equation. When you create a sentence, you know you have all of the necessary information from the word problem. All you have to do is plug in the numbers.
Substitute Variables for Unknown Quantities
When you're writing an equation, you must substitute variables for unknown quantities. You'll need to solve for the variables in order to get the answer to the equation. X and Y are traditional variables in an algebra word problem, but you don't have to stick with X and Y.
If you're dealing with a word problem that has many variables, it may be easier to use a letter that better represents the variable. For example, in the above equation, you could use the variable M to stand for Marta's jelly beans. Then, if the equation has multiple variables, it can be easier to keep track of them.
Look for Words that Signal Specific Operations.
Some words tell you which operators to use in the equation. "Together," for example, signals that you're working with an addition problem. "Product" is a multiplication problem, while "per" signals a division problem. The same words are typically used in most word problems to signal specific operations. Review these words so you know you'll get the right operation when you're setting up the algebra equation.
Convert Units of Measurement
If you've got multiple units of measurement, you need to convert them to a common unit of measurement when you're writing your equation. For example, if you have a word problem that contains both feet and inches, you should convert feet to inches so you're working with the same measurement throughout the problem.
Solve the Equation
Setting up the algebra word problem is the hardest part. Solving a word-problem equation is just like solving any other algebra equation, once you have it set. Do what you need to do to map out the word problem and turn it into an equation, because once you've done that, the hard part is finished.
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