Intermediate Algebra, Practice Test #3

 

Rational Expressions, Roots, Radicals & Complex Numbers

Name: ______________________________ Student ID: _______________________

Instructions: Print this “Take Home Test”, and solve all problems using Blank Papers. You must show your work completely, and bring it on the day of the 3rd on campus exam to get full credit

Playback list to view the solutions to the practice test 3

  1. Find all the values ofor which are a) Zero b) Undefined

     (*Solution 1) , *Similar Solution to 1

    Lectures on Domain of the Rational Functions

    2a) Add
    		        

     

    2b) Add

     

     

    3) Simplify

     

     

     

    4) Simplify
    		   

 

 

 

5) Simplify
*Solution 5
*Similar Solution to 5

 

 

6a) Add
 
  *Solution 6a View this example for Problems 6, 9 and 10

 

 

6b) Add
(Solution 6b)
*Similar Solution to 6b

 

 

 

7) Simplify (Solution 7) *Similar Solution to 7 *Another Similar Solution to 7

 

*Lecture for Solving Equations for a single Variable

8) Solve for q: Solve for Q *Solution 8 *Similar Solution to 8

       

 

9) Solve
Solve for x
*Solution 9

View this example for Problems 6, 9 and 10

*Lecture for solving Linear Equations with Fractions and Decimals

 

10) Solve Solve for x Solution 10) *Another example to problem 10
        

 

 11) Jeff can mow a grass in 5 hours. Mark can do the job in 10 hours. How long will it take to do the job if the two of them work together?

*Solution to problem 11

 

12) At a dairy plant, a milk tank can be filled in 6 hours (using the inlet valve).  Using the outlet valve, the tank can be emptied in 8 hours.  If both valves are open and milk is being pumped into the tank, how long will it take them to fill the tank?
*Solution to problem 12

 

13) A train and car leave from the Pasadena, California, railroad station at the same time headed for the state fair in Sacramento. The car averages 60 mph and the train averages 80 mph. If the train arrives at the fair 2 hours ahead of the car, find the distance from the railroad station to the state fair.

*Solution to problem 13

 

14) The sum of the reciprocals of two consecutive integers is 15/56.  Find the two integers.

*Another solution to problem 14

 

  1. Simplify:           a)          b)      c)          d)

     

    *Solution to problem 15a , Another example to problem 15a(no audio)
    *Solution to problem 15b
    *Solution to problem 15c, *Another example to problem 15c
    Solution 15d) , *Similar solution to 15d ,

 

  1. Simplify:           a)            b) c)

     

     

    *Solution to 16a
    *Solution 16b , *Another soution to problem 16b
    *S    olution to 1

  2. 6c

     

     

     

  3. Simplify: a)  b)         c)        d) *Solution to 17a,c,d

     

    *Another solution to problem 17a
    Solution 17b) , *Another problem similar to 17b
    *Another solution to problem 17c
    *Another solution to problem 17d

 

*Lecture for Solving Equations with Radicals

  1.    Solved and check               

    * Solution to 18

 *Another solution to 18

 

  1.    Simplify.          

    a)   *Solution 19a,  Similar Solution to 19a
      
    b) *Solution 19b   

    c) , *Solution 19c     *Similar solution to 19c

     

     

  2. Multiply:            

     

    (Solution 20)