PROCEDURE FOR PROBLEM SOLVING IN ALGEBRA
Understand
the problem.
This means you must read the problem and note what it
is about. Focus on processes rather than numbers.
You cannot work a problem you do not understand.
A sketch may help in understanding the problem.
Devise
a plan.
Write down a verbal description of the problem using
operation signs and an equal or inequality sign.
Note the following common translations.
Carry
out the plan.
In the context of word problems, we need
to proceed deductively by carrying out the following
steps.
Choose a variable. If there is a single
unknown, choose a variable. If there are several
unknowns, you can use the substitution property to reduce
the number of unknowns to a single variable. Later
we will consider word problems with more than one unknown.
Substitute. Replace the verbal phrase for
the unknown with the variable.
Solve the equation. This is generally the
easiest step. Translate the symbolic statement
(such as x = 3) into a verbal statement.
Probably no variables were given as part of the word
problem, so x = 3 is not an answer. Generally,
word problems require an answer stated in words.
Pay attention to units of measure and other details
of the problem.
Look
back. Be sure your answer makes sense
by checking it with the original question in the problem.
Remember to answer the question that was asked.