The following document is a Review provided by the A.T.
Teaching Center’s Math Study Center located in S.E
Broward Basement. The A.T. Teaching Center provides Walk‐in Tutoring as well as
In dividual Weekly Appointment
Tutoring Services for a variety of subjects. The service is 100% free. This
Review is made with input from your
instructor.
The solutions to the document are provided at the Review.
1) What is the domain of the following function…
2) Write the equation of parabola with vertex
and going through the point
.
3) What is the vertex of a parabola with intercepts
and 
4) Find all values of k such that the equation
has no real solutions .
5) Suppose the weekly Profit for Gator Gadgets, a popular
local novelty store, depends on the number of
novelty unit produced each week. Now, suppose that the Profit can be modeled by
the function
where x is the number of novelties produced
in thousands per week. How
many novelties should Gator Gadgets produce in order to maximize profit?
6) Simplify the complex valued expressions…
7) Solve for x : 
8) Graph the following rational function given x = 3/2 is
a zero. Include in your graph the x‐intercepts, y-intercepts,
the holes, the vertical asymptotes and the horizontal asymptotes.
9) Evaluate 
10) If the polynomial 
with only real coefficients has the following zeros (multiplicities shown in
parenthesis), what is the smallest degree of ?
11) Perform Long Division on the rational function.
12) Solve the systems :
13) Solve the following inequalities; write the answers in
interval notation.
14) The monthly revenue achieved by selling x tins
of Mary’s Holiday Fudge is calculated to be 
dollars. The wholesale cost of each batch is $15. How many batches must be sold
to achieve a profit
(revenue – cost) of at least $600.
15) It takes a math teacher 10 minutes to walk from his
office to his class 300 ft away while classes are letting
out. When his own class lets out, he is able to walk with the flow of traffic,
getting to his office in 15
minutes. As suming the speed of the math teacher and the collective speed of
students walking from class
is constant, what are the two speeds ?
16) At a local fast food joint four large slices of pizza
and two root beers cost a total of $7.90. Two root beers
cost 15 cents more than one large slice of pizza. How much would one slice of
pizza with one root beer
cost?
