1.
2.
3.
Solve this system of equations:
4.
Solve
this system of equations, find all points
of intersection.
5. .A store has $30,000 of
inventory in 12-inch and 19-inch color televisions. The profit on a 12-inch set is 22 % and the profit on a 19-inch
set is 40 %. The profit for the entire
stock is $10,500. What is the $ value
of the inventory for each type of television?
Solve the following inequalities:
6. 
7.
8. Evaluate:
a.
=
b.
=
Solve for x:
9. 
10 
11.
a. Determine
the interest rate if $600 grew
to $800 in 5 years assuming interest was
compounded continuously.
b.
At
that interest rate, when would the account balance be 1200?
12.
a. Graph 
and
(Label intercepts and asymptotes.)
b. Describe how the graph of g(x) differs from that of f(x) in terms of transformations such as shifts up or down, left or right.
c.
What
is the domain of
?
13.
Sketch a graph of a 3rd degree polynomial with a leading coefficient
that is negative.
14.
a. Graph 
. Clearly label
all important aspects such as
intercepts and
maximum or minimum points.
b. Over what intervals
is this graph increasing?
15.
Find the number of units, x, that would have to be sold to produce a maximum
revenue, R, where 
.
b.
What is the maximum revenue?
16. Analyze the function
f(x) = 
(a)
y-intercept
(b) x-intercept
(c)
vertical
asymptotes
(d)
horizontal asymptote
(e) graph y = f(x); include x and y-intercepts and all
asymptotes.
17. Multiply these complex numbers, simplify
the
answer and write it in the standard a+bi form.
(3 + 2 i)(6 – 5 i)
18.Find
all the zeros of the polynomial
function
19. 
is sketched on the
axes below. Translate it to
sketch a graph of 
20.Given
the function 
, what is it’s
a.
domain?
b.
range?
c.
inverse
function?
d.
Graph 
21. Given
= 
and 
= 
find:
a.
f (5)
b.
g (-2)
c.
22. Find an equation of the line that passes
through the point (1, 2) and is perpendicular to the line 3x - 2y = 5.
23. The
approximate number of new AIDS
cases reported in each of the years 1983-1986 is
given in the table, with year 3 corresponding to 1983.
Year(3=1983)
3 4 5 6
New AIDS Cases 2100 4400 8200
13100
a.
Use
your graphing calculator to fit a linear
model to the data. Write
the equation and
correlation
coefficient here.
b.
Use
your graphing calculator to fit an
exponential model to the data. Write
the
equation and correlation coefficient
here.
c.
Which
equation is a better model of the data?
Explain.
d.
Using
the better equation, estimate how many new cases of aids there were in 1987.