1. Ex press in interval notation: x>-3 OR x<3
2. Express in interval notation: x≥1 AND x<4
3. The solution set for the absolute value inequality l3B
is ...
4. Find the center and radius of the circle by rewriting the equation in
standard form.
5. 
6. If 
, then 
7. 
8. Rationalize the denominator :
9. Simplify: 
10. Factor : 
11. Solve for B :
12. If ln x= -4 then x=...
13. If log x= -2 then x=...
14.2log x -3log y=
15. If 
, then f(-2)=...
16. If 
, then f(a+h)=...
17. The range of the linear function f(x)=1+2x is . . .
18. The domain of the rational function 
is...
19. The range of the quadratic function 
is .
. .
20 . Find the value of f(1) if
21. Solve the following absolute value inequality.
Write your solution in interval notation.
22. Simplify the complex fraction completely:
23. Perform the indicated operations and simplify :
24. Find all four solutions of the following polynomial equation .
25. Set up a 2 x 2 linear system to solve the following word problem, then solve
the
problem. Make certain that you carefully define both of your variables and that
you clearly answer the question asked.
John has $10,000 to invest. If the bank offers 2% and 3% simple interest and the
total annual interest income from the two accounts is $225, how much was
invested in each account?
26. Solve the following radical equation.
27. Use matrices to solve the following 3 x 3 linear
system for (x,y,z)
28. Solve the following rational inequality.
Write your solution in interval notation.
29. Solve for B in the following logarithmic equation.
30. A woman can row a boat 3 miles downstream and return a distance of 3 miles
upstream in a total time of 2 hours. If the rate of the current is 2 mph, what
is the
woman's rate of rowing in still water?
31. A cliff measures a height of 1#00 feet. A ball is thrown upward from the top
of
the cliff with an initial velocity of "! feet per second. The height of the ball
2 in
feet after t seconds is given by the equation:
a. Find the maximum height of the ball.
b. How long after the ball is thrown will it hit the ground?
Round to the nearest tenth of a second.
32. Let 
Find and simplify completely the difference quotient
.
33.Given that 
is a one-to-one function, find
a formula for the
inverse function.
34. The cost of a hospital stay is given by the function:
where B is the number of days spent in the hospital.
a. Find the C- intercept of this linear function.
b. Interpret the meaning of the C-intercept in this problem situation.
c. Find the slope of this linear function.
d. Interpret the meaning of the slope in this problem situation.
e. Predict the cost of a hospital stay for 2 weeks.
35. The value of a car bought in 2000 depreciates, or decreases, as time passes.
Two
years after the car was bought, it was worth $12500;
10 years after it was bought, it was worth $750.
a. Write two ordered pairs that can be used to represent this data.
Let B represent the number of years after 2000.
b. Write the linear function that models this data.
c. Graph the linear function that models this data. Indicate the scale
used on your axes.
36. Graph the following exponential function as carefully as possible below.
Give
exact coordinates of at least three points.
Then list the domain and range in interval notation.
37. Graph the following logarithmic function as carefully as possible below.
Give
exact coordinates of at least three points.
Then list the domain and range in interval notation.
38.
List the transformations being applied and graph f(x)
39. Graph the following quadratic function as carefully as possible below.
40. Graph the piecewise defined function
