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The following is a list of end goals for Math 105 with a sample problem that illustrates each goal.  Work the problem and click on the Answer button to see how you did.
   
Math 105 End Goals
    
             Exhibit mastery of absolute value equations and inequalities.

 

  

 

Solve for all real solutions.  Give answer interval notation and graph.
  
 Answer


    
 

Exhibit mastery of basic knowledge of graphing linear equations in two variables and writing equations of lines.

 


 
 
Write the equation in standard form for the line containing the point (-7, 3) and perpendicular to .
 
Answer

 
 
  

  Graph the line above and state its slope.
  
Answer



 

  

Exhibit understanding of the concept of functions, function notation and domain and range.

 
 
Write this linear equation using function notation: 
 
Answer
 

    
Give the domain of this function:
   

Answer

 

  

 

Exhibit mastery of solving quadratic equations with either real or complex solutions.
  


 
Solve this equation:
  
 Answer



   
Solve this equation:
  

 Answer


  

Exhibit mastery of solving rational equations that result in either linear or quadratic equations.
  


  
Solve this equation:
  

 Answer

 

   

  

Demonstrates understanding of the concept of rational exponents.
  


 
Simplify:
   

 Answer

 

  

  

Exhibit mastery of solving radical equations.
  

 
 
Solve this equation:
  

 Answer

 

   

  

Experience logarithmic and exponential forms and properties.

  


  
Write the following in logarithmic form.
   

 Answer



  
Use the properties of logarithms to write the following as a single logarithm.
   

 Answer



  

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Updated 11/07/08 .   For broken links or comments, please email  vzabrocki@msubillings.edu