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1.
Read the problem carefully.
2.
Make sure you understand the
situation that is described.
3.
Make sure you understand what
information is provided, and what the question is asking.
4.
For many problems, drawing a
clearly labeled picture is very helpful.
1.
First focus on the objective.
What do you need to know in order to answer the question?
2.
Then look at the given
information. How can you use that information to get what you need to know to
answer the question?
3.
If you do not see a clear
logical path leading from the given information to the solution, just try something.
Look at the given information and think about what you can find from it, even
if it is not what the question is asking for. Often you will find another piece
of information that you can then use to answer the question.
You need to express
mathematically the logical connections between the given information and the
answer you are seeking. This involves:
1.
Assigning variable names to
the unknown quantities. The letter x is always popular, but it is a good
idea to use something that reminds you what it represents, such as d for
distance or t for time. The trickiest part of assigning variables is
that you want to use a minimum number of different variables (just one if
possible). If you know how two quantities are related, then you can express
them both with just one variable. For example, if Jim is two years older than
John is, you might let x stand for John’s age and (x + 2)
stand for Jim’s age.
2.
Translate English into Math.
Mathematics is a language, one that is particularly well suited to describing
logical relationships. English, on the other hand, is much less precise. The
next page is a table of English phrases and their corresponding mathematical meanings,
but don’t take it too literally. The meaning of English words has to be taken
in context.
Now you just have to solve the equation(s) for the unknown(s). Remember to
answer the question that the problem asks.
Think about your answer. Does your answer come out in the correct units? Is
it reasonable? If you made a mistake somewhere, chances are your answer will
not just be a little bit off, but will be completely ridiculous
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