1. Find the domain of each of the following functions.
a) 
b) 
=
2. Find the domain of each of the following functions.
a)
b) 
3. Simplify completely.
a)
b) 
4. Perform any indicated operations and simplify completely.
a) 
b) 
5. Perform any indicated operations and simplify completely.
a)
b) 
6. Solve the equations.
a) 
b) 
7. Solve the equations.
a) 
b) 
8. Solve the problem.
a)
Let 
. Find a so that 
.
b)
Let 
. Find a so that 
9. Factor completely.
a) 
b) 
10. Solve the story problem
a) In a right triangle, one leg is 9 inches less than 3 times the shortest leg. The hypotenuse is 9 inches more than twice the shortest leg. What are the measurements of the sides of the triangle?
11. Solve the story problem
a) A boat traveled 30 miles upstream and 30 miles downstream. The total time for the trip was 18 hours. If the speed of the ferry downstream is 8 miles per hour faster than upstream, what are the speeds of the ferry in each direction?
12. Find the indicated function values.
a) 
, 
b) 
, 
13. Simplify.
a) 
b)
14. Simplify. Do not use negative exponents in your answer.
a)
