Showing posts with label simplify. Show all posts
Showing posts with label simplify. Show all posts

Intermediate Algebra Exam #1

Click on the 10 question exam covering topics in chapters 1 and 2. Give yourself one hour to try all of the problems and then come back and check your answers.






 



 

 
   
Solve and graph the solution set. In addition, express the solution set using interval notation.



Sketch the graph and give the domain and range.

  
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Elementary Algebra Exam #1

Click on the 10 question exam covering topics in chapters 1 and 2. Give yourself one hour to try all of the problems and then come back and check your answers.


Simplify:



Solve:



Solve and graph all solutions on a number line.




10. The perimeter of a rectangle is 54 feet.  If the length is 3 feet less than twice the width, find the dimensions of the rectangle. (Set up an algebraic equation and use it to solve this problem.)
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Complex Rational Expressions


It turns out that we have all the tools necessary to simplify complex algebraic fractions. The numerator and denominator of these rational expressions contain fractions and look very intimidating.  We will outline two methods for simplifying them.

Method 1: Obtain a common denominator for the numerator and denominator, multiply by the reciprocal of the denominator, then factor and cancel if possible.
Method 2: Multiply the numerator and denominator of the complex fraction by the LCD of all the simple fractions then factor and cancel if possible.

To illustrate what happened after we multiplied by the LCD we could add an extra step.

For the following solved problems, both methods are used. Choose whichever method feels most comfortable for you.

Simplify using method 1.                                 Simplify using method 2.
Video Examples on YouTube: