SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)
Note:
Example 4 :
The answers are 7 and . These answers may
not be solutions to the equation. You must verify the answers.
Step 4:
Check the answer x=7 by substituting 7 in the original equation for
x. If the left side of the equation equals the right side of the
equation after the substitution, you have found the correct answer:
Since the left side of the original equation equals the right side of
the original equation after the value 7 is substituted for x, we have
verified the solution x=7.
Since the left side of the original equation equals the right side of
the original equation after the value -9.8 is substituted for x, we
have verified the solution =-9.8.
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Contents.
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Step1:
Step 2:
Step 3:
Check the answer x=-9.8 by substituting -9.8 in the original
equation for x. If the left side of the equation equals the right
side of the equation after the substitution, you have found the
correct answer.
You can also check you answer by graphing
(the left side of the
original equation minus the right side of the original equation). You
will note that the two x-intercepts on the graph are located at 7 and
-9.8.
If you would like to test yourself by working some problems similar
to this example, click on Problems
.
Author:Nancy
Marcus
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