<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass{article}
\usepackage{web} % dvips-&gt;ps2pdf|distiller, pdftex, lualatex, xelatex
\usepackage{eforms}
\usepackage[!viewmode,nonrandomized,!showletters,!showanswerkey,savedata]{dps}

%\usepackage{graphicx} % use for rotating the answer key (when showanswerkey option is taken)

%\previewOn \pmpvOn
%\useRandomSeed{number}
\inputRandomSeed
%\useLastSeed

\margins{.5in}{.5in}{24pt}{.5in} % left,right,top, bottom
\screensize{6.5in+3\baselineskip}{8.5in} % height, width


\title{DPS -- Das Puzzle Spiel}
\author{D. P. Story}

% (Optional) Try to prevent the student from saving the game (for some other student)
% we clear the game board if either student closes or save the document.
\clearOnCloseOrSave


\parindent0pt \parskip6pt

\DeclarePuzzle
{%
    {H}{H}
    {e}{e}
    {l}{l}
    {l}{l}
    {o}{o}
    {}{space}
%    {!}{punc}
    {J}{J}
    {\tops{\protect\"{u}}{\ifxetex ü\else\string\374\fi}}{uml} % ü
    {r}{r}
    {g}{g}
    {e}{e}
    {n}{n}
    {,}{punc}
    {}{cr}
%    {}{space}
    {h}{h}
    {o}{o}
    {w}{w}
    {}{space}
    {a}{a}
    {r}{r}
    {e}{e}
    {}{space}
    {y}{y}
    {o}{o}
    {u}{u}
    {}{space}
    {t}{t}
    {o}{o}
    {d}{d}
    {a}{a}
    {y}{y}
    {?}{punc}
}

\begin{Composing}

\begin{cQ}{H}
$ 1 + 1 $
\end{cQ}
\begin{cA}{H}
$2$
\end{cA}

\begin{cQ}{e}
$ 2x + 5x $
\end{cQ}
\begin{cA}{e}
$7x$
\end{cA}

\begin{cQ}{l}
$ 6x - 3x + 1 $
\end{cQ}
\begin{cA}{l}
$3x+1$
\end{cA}

\begin{cQ}{o}
$ 5 -5x + 2x -2 $
\end{cQ}
\begin{cA}{o}
$-3x+3$
\end{cA}

\begin{cQ}{J}
$ 4( x + 2 ) - 2 $
\end{cQ}
\begin{cA}{J}
$4x+6$
\end{cA}

\begin{cQ}{uml}
$ -3x + 2(5-2x) $
\end{cQ}
\begin{cA}{uml}
$-7x+10$
\end{cA}

\begin{cQ}{r}
$ -2 ( 3x + (-4) ) + 4 $
\end{cQ}
\begin{cA}{r}
$-6x+12$
\end{cA}

\begin{cQ}{g}
$ 5 ( x - (-2) ) $
\end{cQ}
\begin{cA}{g}
$5x+10$
\end{cA}

\begin{cQ}{n}
$ 6x - 5 (x - 2) $
\end{cQ}
\begin{cA}{n}
$x+10$
\end{cA}

\begin{cQ}{h}
$ 15 + 2 $
\end{cQ}
\begin{cA}{h}
$17$
\end{cA}

\begin{cQ}{w}
$ 6x - 3 + x + 5 $
\end{cQ}
\begin{cA}{w}
$7x+2$
\end{cA}

\begin{cQ}{a}
$ 5( -2x + 4 ) + 3x - 2 $
\end{cQ}
\begin{cA}{a}
   $-7x+18$
\end{cA}

\begin{cQ}{y}
$ 3(x-3) -  2(x+2) $
\end{cQ}
\begin{cA}{y}
$x-13$
\end{cA}

\begin{cQ}{u}
$ -2(3-x) - 4(1-3x) $
\end{cQ}
\begin{cA}{u}
$14x-10$
\end{cA}

\begin{cQ}{t}
$ \sin( \pi/2) $
\end{cQ}
\begin{cA}{t}
$1$
\end{cA}

\begin{cQ}{d}
$ \cos( \pi/4 ) $
\end{cQ}
\begin{cA}{d}
$\sqrt{2}/2$
\end{cA}

\end{Composing}

\begin{document}
\begin{center}\bfseries\Large\color{blue}
    \webtitle\\[1ex]\webauthor
\end{center}

\textcolor{red}{\textbf{Instructions:}} Select a question from the
center panel by clicking its checkbox. Solve the problem and find
the answer listed in either the left or right panel.  No guessing!
A maximum of $\dsthreshold $ tries on any problem before you get
penalty points!  Passing is to complete the puzzle with only
$\dspassing$ incorrect answers.


\fbox{\begin{minipage}{\linewidth-2\fboxsep-2\fboxrule}\centering
\insertPuzzle{18}
\end{minipage}}
\fbox{\begin{minipage}[t][3in][t]{.2\linewidth-2\fboxsep-2\fboxrule}\raggedright
Find the correct answer
\begin{itemize}
\displayRandomizedAnswersLeftPanel
\end{itemize}
\par\smallskip
\end{minipage}}%
\fbox{\begin{minipage}[t][3in][t]{.6\linewidth-2\fboxsep-2\fboxrule}
Simplify each of the expressions below, and find the answer in the column of answers.
\begin{multicols}{2}
\begin{enumerate}
\displayRandomizedQuestions
\end{enumerate}
\end{multicols}
\par\smallskip
\end{minipage}}%
\fbox{\begin{minipage}[t][3in][t]{.2\linewidth-2\fboxsep-2\fboxrule}\raggedright
Find the correct answer
\begin{itemize}
\displayRandomizedAnswersRightPanel
\end{itemize}
\par\smallskip
\end{minipage}}

\textField[\Ff\FfMultiline]{report}{\linewidth}{50pt}

Print this page: \printDPS{}{11bp}\cgBdry[1ex]
Try again: \resetDPS{}{11bp}

\end{document}
</pre></body></html>