SOLVING EQUATIONS WITH FRACTIONS
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Suggestions for this self exam:
[A] Study text section 4.5 , but then keep your book closed during this entire test
[B] Enter your answers in the boxes provided. Check them when you've finished.
[C]
Remember the general rules: a
b
 =  ac
bc
  and also   a
d
 +  b
d
 =  a + b
d
[D]
In many cases, the most effective way to solve an equation containing fractions is to multiply both sides of the equation by the least common denominator, or LCD of all fractions in the equation. If this LCD contains the variable of the equation, this step may introduce roots that will not check in the original equation. Thus, CHECK ALL ROOTS
[E] Practice Addinging and Subtracting Fractions ?

[1]   Enter the root (solution) of the equation below (if there is no solution, write "ns"):
 
If   1
x
 +  1
3
 =  1
4
  Then x =
 
   

[2]   Enter the root (solution) of the equation below (if there is no solution, write "ns"):
 
If     x  
x-1
 +   x-1 
x
 =  13
6
  Then x =
 
   

[3]   Enter the root (solution) of the equation below (if there is no solution, write "ns"):
 
If     x  
x-1
 +   x-1 
x
 =  2   Then x =
 
   

[4]   Enter the roots (solutions) of the equation below (Methods of section 6.1 may help here):
 
If    x+3 
x-6
 -    x  
x-3
 =  3
4
  Then x =
or x =
 
Review
Factoring ?
   

[5]   Enter the root (solution) of the equation below (if there is no solution, write "ns"):
 
If     3  
x-5
 +    1  
2x
 =   1 
x
  Then x =
 
   

[6]   Enter the roots (solutions) of the equation below (Methods of section 6.1 may help here):
 
If    x+2 
x+3
 -   2 
x
 =   5 
2
  Then x =
or x =
 
Review
Factoring ?
   

[7] Enter the root (solution) of the equation below (if there is no solution, write "ns"):
 
If   2 +    x - 1 
2 - x
  =      3   
x - 2
  Then x =
 
   

[8] More problems will be added to this page

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This page last updated
31 May 2001