Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 2
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20given in the problem. Note: Letters always represent measurements or
quantities about people and things; they do not represent people or things.
Fill in the chart, table or diagram using the given information for the “X”, the other
4.
quantity in terms of “X”. Certain memorized formulas (known math formula such as
D = RT, I = PRT, etc. are very useful.
5. Using the completed chart and the other relationship information in the problem set
up an equation and solve it for X.
Go back to the problem and answer the question asked.
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Note: There is no absolute law about the best way to solve word problems.
These outlined procedures have been found helpful by many students
because they provide clear-cut ways to get at the information and use it to
solve the problem. If you prefer to use intuition or trial and error (which are
always good in mathematics, but sometimes inefficient), you may certainly
do so. Now, try the above steps in the following problems.
NUMBER PROBLEM
ADDITIONAL HINTS FOR NUMBER PROBLEMS Consecutive integers
can be represented by N, N+1, N+2 , etc. Consecutive odd or even integers
2;
can be represented by N, N+2, N+4, etc. The square of the number N is N
3
the cube of the number N is N
EXAMPLE
1. Find two numbers whose sum is 18 if one number is 8 more than the other.
Solution:
Read the problem carefully.
!
Recognize that you are dealing with a number problem.
!
There is NO guiding chart, table or diagram for this type of problem.
!
Go back and reread the problem.
!
You are asked to find two numbers and you know less about the first one (since
!
the second is 8 larger). Therefore, write
“Let the first number be x.”
Express the second number in terms of X (clue: it is 8 larger); write: “Let
the second number be X + 8.”
The addition sign is the translation for more than.
The relationship between the numbers in the problem is that their sum is
18.
X + X+ 8 = 18
Now solve the equation and you will find X = 5. Since the second number is 8
more than first one, the second number is X + 8 or 5+8 which is 13.
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