distractopedia.tex

\RequirePackage{luatex85}
\documentclass[addpoints]{exam}
\usepackage{multicol, amsmath}
\everymath{\displaystyle}
\begin{document}
\begin{questions}
\section{Elementary algebra. Equations.}
\question Solve $2=-\frac32+b$. \qquad\qquad
\begin{oneparchoices}
	\correctchoice $\frac83$
	\choice $\frac43$
	\choice 3
	\end{oneparchoices}

\section{Elementary algebra. Functions.}
\question Let $f(x) = x^2$. Find $f(5)$.
\begin{oneparchoices}
	\correctchoice 25
	\choice $f(25)$
	\end{oneparchoices}

\section{Algebra. Functions. Composition.}
\question Let $f(x) = -2+\sqrt{x+3}$ and let $g(x) = \frac1x$. Find the composition $(f\circ g)(x)$.
\begin{multicols}3
\begin{choices}
	\choice $\frac1{-2+\sqrt{x+3}}$
	\choice $-2+\sqrt{x+3}$
	\choice $-2+\frac1{\sqrt{x+3}}$
	\choice $-2+\frac1{\sqrt x+3}$
	\correctchoice $-2+\sqrt{\frac1x+3}$
	\end{choices}
	\end{multicols}

\section{Algebra. Functions. Domain.}
\question Find the domain of $-2+\sqrt{3+1/x}$.
\begin{multicols}3
\begin{choices}
	\choice $(-\infty,0)\cup(0,\infty)$ %6/30
	\choice $(-\infty,\infty)$ %5/30
	\choice $[0,\infty)$ %5/30
	\choice $(1,\infty)$ %3/30
	\choice $(-\infty,0)\cup(0,1)$ %3/30
	\correctchoice $(-\infty,-\tfrac13]\cup(0,\infty)$ %2/30
	\end{choices}
	\end{multicols}
\question Find the domain of $\frac1{-2+\sqrt{3+x}}$.
\begin{multicols}3
\begin{choices}
	\correctchoice $[-3,1)\cup(1,\infty)$
	\choice $(-\infty,0)\cup(0,\infty)$
	\choice $(-\infty,\infty)$
	\choice $(-\infty,1)\cup(1,\infty)$
	\choice $(-\infty,-3)\cup(-3,\infty)$
	\end{choices}
	\end{multicols}

\section{Algebra. Trig. Right triangle apps.}
\question The angle of elevation is $26^\circ$. Which diagram is correctly labelled.


\section{Calculus I. Limits. Algebraic.}
\question Find $\lim_{x\to 25} \frac{\sqrt x-5}{x-25}$. \qquad\qquad
\begin{oneparchoices}
	\correctchoice $\frac1{10}$
	\choice $\frac1{50}$ % +reasoning/level; +student stats
	\choice $\frac1{60}$
	\choice $\frac15$
	\choice 0
	\choice DNE
	\choice 0.10001
	\end{oneparchoices}
\question Find $\lim_{h\to0} \frac0h$. \qquad\qquad
\begin{oneparchoices}
	\correctchoice 0
	\choice 1
	\choice $\infty$
	\choice DNE
	\end{oneparchoices}


\section{Calculus Lab}
\question Write $x^{1/(1-x)}$ using computer notation.
\begin{oneparchoices}
	\correctchoice $x\wedge(1/(1-x))$
	\choice $(x\wedge 1)/(1-x))$
	\choice $x\wedge 1/(1-x)$
	\end{oneparchoices}

\end{questions}
\end{document}