MATH115 Pre-Calculus
Midterm Exam
INSTRUCTIONS
The exam is
worth 100 points. There are 10 problems. This exam is open book and open notes.
This means that you may refer to your textbook, notes, and online classroom
materials, but you must work independently and may not consult anyone (and
confirm this with your submission).
Show
work/explanation where indicated. Answers without any work may earn little, if
any, credit.
1. (10pts) Solve:

b 
Express
your answers in interval notation!
2. (10pts) Solve:
a) (2x –
1)(3x + 2) = 3
b) 
3. (10pts) Use the six-step procedure
from chapter 4 to graph .
Do not use
a graphing utility!
4. (10pts) Given (on the left) the
graph of y = f(x) use transformational methods to graph y = 2 – f(-x).
5. (10pts) Consider the three points:
A(-6, -8), B( 3, -2) & C(9, 2). Are
the three points collinear? If so, find
the equation of the that line.
6. (10pts) Find the equation of the
quadratic function with vertex at (2, -3) and
y-intercept
of 5.
7. (10pts) Make a rough sketch of the
function .
Do
not use a graphing utility!
8. (10pts) Use the transformational
methods to graph . Clearly identify the
horizontal asymptote and y-intercept. Do
not use a graphing utility!
9. (10pts) Express each in exponential
form and solve for the unknown.
a) 
b) 
10. (10pts) An annuity is opened with APR
of 1.25%. How long will it take to
triple the initial deposit? Assume
continuous compounding.