\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 $(2,2)$ and$(3,0)$ &\prob	Between $(-1,5)$ and $(2,-1)$\\
	\vspace{1cm}
	\prob	$x=2$ &\prob	$y=5$\\
	\vspace{1cm}
	\prob	$y=8x+7$ &\prob	$y-2=6(x-1)$\\
	\vspace{1cm}
	\prob	$9x+3y=6$ &\prob	$y-6x=-(x-5)$\\
	\vspace{1cm}
	\prob	$x+3y=-2(y-x)$ &\prob	$4x=2(y-3)-4(y+2x)$\\
\end{tabular}\\
	
\textbf{Section II}  Give an equation for the line.  (5 pts. each)
\vspace{.5cm}\\
\vspace{3cm}
\prob	With slope $3$ passing through $(-3,1)$\\
\vspace{3cm}
\prob	Passing through $(8,2)$ and $(6,0)$\\
\vspace{3cm}
\prob	Passing through $(1,2)$ and parallel to $y=3x+7$\\
\vspace{3cm}
\prob	Passing through $(7,1)$ and perpendicular to the line $x+2y=2$\\


\textbf{Section III}  Plot the expression on the Cartesian coordinate system.  (5 pts. each)
\vspace{.5cm}\\
\begin{tabular}{|lr|lr|}
\hline
	\prob $x>2$ &
	\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}&
	\prob $y=4$ &
	\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 $3=\frac{y-2}{x-1}$ &
	\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 $-2=\frac{y-2}{x-1}$ &
	\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 $y=3x-9$ &
	\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 $x=4y-8$ &
	\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 $10$ to $25$ & \prob From $25$ to $10$
\vspace {4cm}\\
\prob A sale item marked as \$$24$ is sold for \$$18$. & \prob Bacteria in a petrie dish have a mass of $22$mg while two weeks earlier their mass was $8$mg.
\vspace {4cm}\\
\multicolumn{2}{c}
\prob According to the US Census, New Orleans had 484,674 people in  2000 and 223,388 people in 2006.
\vspace {4cm}\\
\end{tabular}
\vspace{1cm}\\
\textbf{Section IV}  Solve.  (5 pts. each)
\vspace{.5cm}\\
\prob A fencing company charges a flat fee of \$$100$ plus \$$6.00$ per post.  The total cost of building a fence was \$$430$.  How many posts did the company set?
\vspace{5cm}\\
\prob In Maryland, there were 187,300 adults ages 25 to 44 without high school diplomas or GED credentials in the year 2000.  This represented 11\% of that age group.  What is teh total number of people in that age group in Maryland in 2000, rounded to the nearest hundred?
\vspace{5cm}\\
\prob John invested \$5000 in an account earning simple interest at noe rate.  He also invested \$3000 in a second account whose rate was 2\% higher simple interest than the first rate.  The total interest earned during one year was \$380.  What were the two rates?
\vspace{5cm}\\
\prob A county tax commission has propossed two property tax bills.  The first bill requires homeowners to pay \$1500 plus 3\% of the assessed value of their property.  The second bill requires them to pay \$300 plus 9\% of the assessed value of gtheir property.  What property values would make the first bill the most economical?
\vspace{5cm}\\
\end{document}