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\vfil \noindent

{\LARGE{
\hfil Math 120 A, B Winter 2012 \hfil \pp
\hfil Mid-Term Exam Number One\hfil  \pp
\hfil January 26, 2012 \hfil \pp
}}

\normalsize
\vfil
\medskip
\hfil Name: \hrulefill \hrulefill \hspace{0.5in} Student ID no. : \hrulefill

\vfil

\hfil Signature: \hrulefill \hrulefill \hrulefill \hspace{0.5in} Section: \hrulefill 
 
\vfil
\begin{center}
{\Huge
\begin{tabular}{||c|c|r||} \hline 
 1 & 10 &\hspace{10mm} \hfil\\ \hline 
 2 & 10 &       \\ \hline
 3 & 10 &      \\ \hline
4 &  10 &    \\ \hline
Total & 40 & \\ \hline 
\end{tabular}
}
\end{center}
\vfil
\begin{itemize}
\item Complete all four questions. 
\item Show all work for full credit. 
\item You may use a scientific calculator during this
examination.  Graphing calculators are not allowed.
Also, other electronic devices are not allowed, and should be
turned off and put away for the duration of the exam.
\item If you use a trial-and-error or guess-and-check method
when an algebraic method is available, you will not receive full credit.
\item You may use one hand-written 8.5 by 11 inch page of notes.  Write
your name on your notesheet and turn it in with your exam.
\item You have 50 minutes to complete the exam. 
\end{itemize}
\vfil
.

\newp

\begin{enumerate}

\item Ferdinand and Molly are moving in the $xy$-plane. 
They move at constant speeds along straight lines.

Molly starts from the point $(3,4)$ and heads directly toward the point
$(-5,-2)$, reaching it in 8 seconds.

\begin{enumerate}
\item Find the parametric equations describing Molly's location.
\vfil
\item Ferdinand moves half as fast as Molly does.
He starts from the point $(12,6)$ and heads 
directly toward the point $(5,0)$. 

Find the parametric equations describing Ferdinand's location.
\end{enumerate}

\newp

\item 

\begin{enumerate}

\item Let $g(x)=5x-1$.  Simplify the following expression as much as possible:
\[
\frac{g(x+h)-g(x)}{h}.
\]

\vfil

\item Let $f(x)=x^2-3x$.  Simplify the expression below as much as possible.
\[
\frac{f(x+2a)-f(x-a)}{a}.
\]

\end{enumerate}

\newp

\item Freddy is sailing near a buoy.  Freddy starts from a point 3 miles EAST and 2 miles NORTH of
the buoy.  Freddy then sails in a straight line toward a point 4 miles due SOUTH of the buoy.
When Freddy reaches the point closest to the buoy on this course, Freddy changes direction and
sails due WEST for 10 miles.

Freddy sails at a constant speed of 7 miles per hour.

For what length of time is Freddy within 3 miles of the buoy?

\newp

\item Gary and Miri were camped at a site in the desert. 
At 6 AM, Miri bicycled north from the site at 22 km per hour.
At 7:30 AM, Gary bicycled east from the site at 16 km per hour.

When Miri and Gary were 100 km apart, how long had Miri been bicycling?

\end{enumerate}

\end{document}


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