\documentclass[11pt]{article}
\usepackage{amsmath, amsthm, amssymb, amsthm, units, full page}
\usepackage{pstricks-add}

\psset{unit=.25,linewidth=1pt}
\newcounter{prob_num}
\setcounter{prob_num}{1}
\newcommand{\prob}{\arabic{prob_num})  \stepcounter{prob_num}}

\begin{document}


\begin{tabular}{lr}
	Name:\underline{\hspace{8cm}}  & Math 095 Study Guide II \\
	& \hspace{3cm} 10 September 2010
\end{tabular}
\textbf{Section I}  Calculate the slope of the following lines.  (3 pts. each)
\vspace{.5cm}\\
\begin{tabular}{ll}
	\vspace{1cm}
	\prob	Between $(2,1)$ and$(0,5)$ &\prob	Between $(-3,8)$ and $(2,-7)$\\
	\vspace{1cm}
	\prob	$y=8$ &\prob	$x=-1$\\
	\vspace{1cm}
	\prob	$y=3x+6$ &\prob	$y-4=2(x-4)$\\
	\vspace{1cm}
	\prob	$3x+9y=6$ &\prob	$2y-2x=-2(x-3)$\\
	\vspace{1cm}
	\prob	$2x+3y=-2(y-x)$ &\prob	$4x=3(y-3)-(y+2x)$\\
\end{tabular}\\
	
\textbf{Section II}  Give an equation for the line.  (5 pts. each)
\vspace{.5cm}\\
\vspace{3cm}
\prob	With slope $2$ passing through $(2,-1)$\\
\vspace{3cm}
\prob	Passing through $(4,1)$ and $(6,11)$\\
\vspace{3cm}
\prob	Passing through $(3,0)$ and parallel to $y=2x+8$\\
\vspace{3cm}
\prob	Passing through $(4,2)$ and perpendicular to the line $6x+3y=8$\\


\textbf{Section III}  Plot the expression on the Cartesian coordinate system.  (5 pts. each)
\vspace{.5cm}\\
\begin{tabular}{|lr|lr|}
\hline
	\prob $y>3$ &
	\begin{pspicture}(-11,-11)(11,11)
		\psaxes[subticks=0,labels=none]{<->}(0,0)(-11,-11)(11,11)
		\psgrid[subgriddiv=1,griddots=4,gridlabels=0](-10,-10)(10,10)
	\end{pspicture}&
	\prob $x=-3$ &
	\begin{pspicture}(-11,-11)(11,11)
		\psaxes[subticks=0,labels=none]{<->}(0,0)(-11,-11)(11,11)
		\psgrid[subgriddiv=1,griddots=4,gridlabels=0](-10,-10)(10,10)
	\end{pspicture}\\
\hline
	\prob $3=\frac{y-3}{x-3}$ &
	\begin{pspicture}(-11,-11)(11,11)
		\psaxes[subticks=0,labels=none]{<->}(0,0)(-11,-11)(11,11)
		\psgrid[subgriddiv=1,griddots=4,gridlabels=0](-10,-10)(10,10)
	\end{pspicture}&
	\prob $-3=\frac{y+4}{x-2}$ &
	\begin{pspicture}(-11,-11)(11,11)
		\psaxes[subticks=0,labels=none]{<->}(0,0)(-11,-11)(11,11)
		\psgrid[subgriddiv=1,griddots=4,gridlabels=0](-10,-10)(10,10)
	\end{pspicture}\\
\hline
	\prob $3y=6x-9$ &
	\begin{pspicture}(-11,-11)(11,11)
		\psaxes[subticks=0,labels=none]{<->}(0,0)(-11,-11)(11,11)
		\psgrid[subgriddiv=1,griddots=4,gridlabels=0](-10,-10)(10,10)
	\end{pspicture}&
	\prob $x=2y-6$ &
	\begin{pspicture}(-11,-11)(11,11)
		\psaxes[subticks=0,labels=none]{<->}(0,0)(-11,-11)(11,11)
		\psgrid[subgriddiv=1,griddots=4,gridlabels=0](-10,-10)(10,10)
	\end{pspicture}\\
\hline
\end{tabular}
\pagebreak\\
\textbf{Section IV}  Calculate the percent change.  (3 pts. each)
\vspace{.5cm}\\
\begin{tabular}{p{8cm}p{8cm}}
\prob From $12$ to $18$ & \prob From $200$ to $75$
\vspace {4cm}\\
\prob A house purchased at \$420,000 in 2004 and sold for \$280,000 in 2010. & \prob The average American weighed 140lbs in 1980 and 190lbs in 2008.
\vspace {4cm}\\
\multicolumn{2}{c}
\prob In 1984, one in three Americans self-identified as Republicans and in 2009, one in five did.
\vspace {4cm}\\
\end{tabular}
\vspace{1cm}\\
\textbf{Section IV}  Solve.  (5 pts. each)
\vspace{.5cm}\\
\prob A caterer charges \$300 flat fee plus \$7.50 for each meal served at a wedding reception.  The total cost of the reception was \$1200.  How many meals were served?
\vspace{5cm}\\
\prob The formula to compute Fahrenheit temperature is $F=\frac{9}{5}C+32$ whre C is Celsius temperature.  How do you compute Celsius temperature given Fahrenheit temperature?
\vspace{5cm}\\
\prob At a state university in Tennessee, approximately 63\%, or 5800, of the students enrolled in 2006 were female.  What was the total enrollment in 2006 (rounded to the nearest hundred)?
\vspace{5cm}\\
\prob A weight loss program offers two membership options.  Option A is to pay a flat yearly rate of \$225.  Option B is to pay a fee of \$5 for each weekly meeting attended.  How many weeks would you have to attend before the total weekly rate exceeds the flat yearly rate?
\vspace{5cm}\\
\end{document}

