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1.04 Literal Equations Intermediate Algebra: One Step at a Time, Page 47-50: #9, 10, 12, 22, 27, 29, plus 2 Extra Problems. Dr. Robert J. Rapalje Seminole Community College Sanford, FL 32773
To see Section 1.04, with explanations, examples, exercises, and answers, click here!
9. Solve for
x:
Solution: First, remove parentheses by the distributive property.
Next, get all the
Now, factor the common factor of x:
Finally, since the x has been multiplied by
NOTE: Don't be tempted to divide out the a or the c! These are "terms"! Never divide out TERMS--only FACTORS!!
10. Solve for
x:
Solution: First, remove parentheses by the distributive property.
Next, get all the
Now, factor the common factor of
Finally, since the x has been multiplied by
NOTE: Don't be tempted to divide out the a or the c! These are "terms"! Never divide out TERMS--only FACTORS!!
12. Solve for
x:
Solution: First, remove parentheses by the distributive property.
Next, notice that there is only one
Finally, in order to solve for
you must divide both sides of the equation by
NOTE: Don't be tempted to divide out the
22.
Solution:
Since
you are solving for
27.
Solution:
Since there is a denominator of
Next, remember that you are solving for
29.
Solution:
Since there is a denominator of
Next, remember that you are solving for
Extra Problem #1 (from Chris).
Solve for
x:
Solution: First, remove parentheses by the distributive property.
Next, get all the x terms on the left side by subtracting
Now, factor the common factor of x:
Finally, since the x has been multiplied by
Extra Problem #2
Solve for
x:
Solution: First, remove parentheses by the distributive property.
Next, get all the x
terms on the right side by adding
Now, factor the common factor of x:
Finally, since the x
has been multiplied by
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