1. 
2. 
Solve the following inequalities, and sketch the solutions on the number.
3. 
4. 
5. Solve: 
6. Solve: 
7. Find all points of intersection
8. Solve
9. Jim and Juan are going to ride their motorcycles from San Francisco to Los Angeles. Jim leaves at 8:00 am but Juan can't leave until 8:30 am. If Jim drives at 50 mph and Juan at 55 mph, at what time will Juan catch up with Jim?
10. Let x be the amount (in hundreds of dollars) a company spends on advertising, and let P be the profit, where
a) What expenditures for advertising gives the maximum profit?
b) What is this maximum profit?
11. If $100 is deposited in a savings account at 6% interest compounded monthly, how much will be in the account after 4 years?
Hint: 
12. Evaluate log3 12 (Show your work.)
13. Simplify: 
Write your answer in
standard form, for a complex number.
14. Radioactive iodine is a by-product of some types of nuclear reactors. Its half-life is 60 days. Suppose a contained nuclear accident occurs and gives off an initial amount C of radioactive iodine.
a) Using the exponential model 
, find the
time find the value of k (to 3 decimal places).
b) Using your model from part (a), find the time required to decay to 20% of the original amount.
15. Find an equation of the line that passes through the points (4,-2) and (-3,5).
16. Given 
and 
, find 
(Simplify the composite function)
17. Given the function, 
what is its
a) domain?
b) range?
18. Given 
a) find the inverse function 
.
b) Graph 
and 
19. Find all the zeros of this polynomial. 
20. Given this sketch of a graph:
a) Is it a 3rd degree or 4th degree equation? _________________
b) Is the leading coefficient positive or negative? __________________
21. Graph the function 
22. Graph 
and
.
23. f (x) is sketched on the axes below. Translate it to sketch a graph of f(x-3) + 1.
