1. Solve each of the systems:
a) 
b) 
c) 
d) 
e) 
f) 
2. Find the domains of each of the given functions and write them using interval notation:
a) 
b) 
c) 
3. Find the requested information:
a) The
distance, s, in feet, traveled by a body falling freely from rest in t seconds
is approximated by the function 
. A physics teacher
releases an egg from the top of the school.
It takes 3 seconds until the egg splatters on the ground. How tall is the school?
b) If
an object is thrown upwards at 8 ft/sec from a height of 100 feet, the height,
h, of the object above the ground t seconds after being thrown is given by 
. How high is an
object 2 seconds after being thrown into the air?
4. Find the slope-intercept equations for each of the following lines:
a) The line passing through (2, 7) and (4, -3)
b) The line passing through (4, -2) and (7, -2).
c) The line passing through ( 9, 19) and (2, -2).
d) The line passing through (-5, 4) and (-5, -3)
e) The line parallel to 
and passing through
the point (2, 5)
f) The line perpendicular to 
and passing through the point (2, 5).
g) The line parallel to 
and passing through (4, 19).
h) The line perpendicular to
and passing through (0,0)
i) The line parallel to 
and passing through (0, -
)
j) The line perpendicular to 
and passing through (-4, -19)
5. Graph each of the following functions:
a) 
b) 
c) 
d) 
e) 
f) 
6. Graph the solutions sets of each of the following inequalities:
a) 
b)
c)
d) 
or 
e) 
and 
f) 
or 
7. Perform the indicated operation and simplify:
a) 
b) 
c) 
c) 
8. For
each set of functions, find all values of 
which satisfy the
given inequality.
a) 
, 
; 
b) 
, 
; 
9. Solve the following problems:
a) The cost of manufacturing engines is related to the number of engines being produced. When 200 engines are produced, the cost is $800; when 500 engines are produced, the cost is $1700. What is the average cost per engine?
b) Selling Porter’s Potions costs money due to advertising, shipping, salaries for sales staff, etc. The total cost is related to the number of bottles sold. When 280 bottles is $77.60; the cost of selling 432 bottles is $103.44. What is the average selling cost per bottle?
10. Solve the inequalities and write the solution sets using interval notation.
a) 
b) 
or 
c) 
and 
d) 
11. Graph the following lines:
a) 4x=8 b) 5x-7y = 21 c) 7y-2 = 19
12. Solve each problem:
a) Miranda wants to paint her basement with 40% grey paint and she has determined that she needs 15 gallons. The store carries 25% grey and 50% grey. How many gallons of each does she need to mix to get 15 gallons of 40% grey?
b)
13. Find the following and simplify:
a) 
and 
. Find 
b) 
and 
. Find 
.
c) 
and 
. Find 
.