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

\psset{yunit=0.5cm,xunit=.3cm}
\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 Midterm 1 \\
	& \hspace{3cm} 14 February 2011
\end{tabular}

\begin{center}
\fbox{\parbox{15cm}{
\textbf{The Blessed Word-box}
\begin{shortitemize}[indeterminate]
	\item[] multiplicative
	\item[] exponent
	\item[] commutative
	\item[] variable
	\item[] inverse
	\item[] coefficient
	\item[] divisor
	\item[] summand
	\item[] distributive
	\item[] product
	\item[] factor
	\item[] denominator
	\item[] exponent
	\item[] term
	\item[] property
	\item[] interval
	\item[] associative
	\item[] additive
	\item[] indeterminate
	\item[] equation
	\item[] identity
	\item[] quotient
	\item[] difference
	\item[] sum
	\item[] numerator
	\item[] addition
	\item[] inequality
	\item[] formula
	\item[] law
\end{shortitemize}
}}
\end{center}

\textbf{Section I}  Plot the expression on the number line.  (3 pts. each)
\vspace{.5cm}\\

\begin{tabular}{ll}
	\prob	$x=\frac{4}{5}$ & \prob	$x \geq -1$ \\
	\vspace{.5cm}

	\begin{pspicture}(-8,-0.5)(8,1)
		\psset{yAxis=false}%
		\psaxes[subticks=0,labels=none]{<->}(0,0)(8,5)(-8,-5)%
	\end{pspicture}
	\hspace{2cm}
	&
	\begin{pspicture}(-8,-0.5)(8,1)
		\psset{yAxis=false}%
		\psaxes[subticks=0,labels=none]{<->}(0,0)(8,5)(-8,-5)%
	\end{pspicture}\\

	\prob	$x \geq 0$ & \prob	$t \in [22,\infty)$ \\
	\vspace{.5cm}
	\begin{pspicture}(-8,-0.5)(8,1)
		\psset{yAxis=false}%
		\psaxes[subticks=0,labels=none]{<->}(0,0)(8,5)(-8,-5)%
	\end{pspicture}
	&
	\begin{pspicture}(-8,-0.5)(8,1)
		\psset{yAxis=false}%
		\psaxes[subticks=0,labels=none]{<->}(0,0)(8,5)(-8,-5)%
	\end{pspicture}\\

	\prob	$-\infty < a < -1$  & \\
	\begin{pspicture}(-8,-0.5)(8,1)
		\psset{yAxis=false}%
		\psaxes[subticks=0,labels=none]{<->}(0,0)(8,5)(-8,-5)%
	\end{pspicture}
	&\\
\end{tabular}\\

\vspace{1cm}
\textbf{Section II}  Identify the algebraic fact that justifies the equality .  (3 pts. each)
\vspace{.5cm}\\

	\begin{tabular}{ll}
	\vspace{1cm}
	\prob	$(x+6)+z^2=x+(6+z^2)$ &\prob	$7-4=3$\\
	\vspace{1cm}
	\prob	$7(13+s)=91+7s$ &\prob	$\frac{3}{4}=[\frac{1}{7a}(7a)](\frac{3}{4})$\\
	\vspace{1cm}
	\prob	$(x+6)(x-2)=(x+6)x+(x+6)(-2)$\hspace{2cm} &\prob	$\frac{t}{t}x=x$\\
	\vspace{1cm}
	\prob	$(x+6)(x-2)=(x-2)(x+6)$ &\prob	$(-a + a)+6=6$\\
	\vspace{1cm}
	\prob	$(m^an^b)^c=m^{ac}n^{bc}$ &\prob	$7(13+s)=7(s+13)$\\
\end{tabular}\\


\textbf{Section III}  Give the name that best describes each item.  (3 pts. each)
\vspace{.5cm}\\

\begin{tabular}{ll}
	\vspace{1cm}
	\prob	The $8$ in $\frac{8}{15}$ &\prob	$x > 6$\\
	\vspace{1cm}
	\prob	The $a$ in $2a^2+4a-6=5b$ &\prob	$[1,22]$\\
	\vspace{1cm}
	\prob	The $4$ in $2a^2+4a-6=5b$ &\prob	The $24$ in $2(12)=24$\\
	\vspace{1cm}
	\prob	The $4a$ in $2a^2+4a-6=5b$ \hspace{3cm} &\prob	The $8$ in $8+9=17$\\
	\vspace{1cm}
	\prob	$2a^2+4a-6=5b$ &\prob	The $2$ in $\frac{8}{4}=2$\\
\end{tabular}\\

\textbf{Section IV}  Simplify.  (5 pts. each) \textit{It is not necessary to give rationale for every step in this section.}\\
\vspace{.5cm}\\

\prob	$\frac{10}{3}(\frac{6}{5})m+2a-(a+a)$\\

\vspace{5cm}
\prob $8t=4$\\

\pagebreak

\prob $3a-7=2$\\

\vspace{5cm}
\prob $x(2+\frac{1}{2x})=\frac{5}{2}$\\

\vspace{5cm}
\prob $t-4=2t-(8-t)$

\vspace{6cm}

\begin{quote}
``By this it appears how necessary it is for any man that aspires to true knowledge to examine the definitions of former authors.... For the errors of definitions multiply themselves, according as the reckoning proceeds, and lead men into absurdities, which at last they see, but cannot avoid, without reckoning anew from the beginning; in which lies the foundation of their errors.'' --- Thomas Hobbes, \textit{Leviathan}
\end{quote}
\end{document}