Find all the values ofor which 
are a) Zero b) Undefined
2a) Add |
 |
2b) Add |
 |
3) Simplify |
 |
4) Simplify |
 |
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Intermediate Algebra, Take Home Test 3
Rational Expressions, Roots, Radicals & Complex Numbers
Name: ______________________________ Student ID: _______________________
Instructions: Print this “Take Home
Test”, and solve all problems using Blank
Papers. Please show your work completely, and post them in the discussion forum on Canvas befoer the due date.
5) Simplify |
 |
6a) Add |
 |
| 6b) Add |  |
| 7) Simplify |  |
| 8) Solve for q: |  |
9) Solve |
 |
| 10) Solve |  |
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?
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?
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.
14) The sum of the reciprocals of two consecutive integers is 15/56. Find the two integers.
