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%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Wednesday, October 20, 2004 21:03:11}
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\input{tcilatex}

\begin{document}


\section{Exam}

\subsection{Text}

\section{ECUACIONES DE PRIMER GRADO (I)}

\subsection{Selecciona la respuesta correcta o m\'{a}s adecuada en cada caso}

Nombre y Apellidos: 
%TCIMACRO{\HTML{<Input TYPE="Text" NAME="STUDENTNAME" VALUE="20" SIZE=0>}}%
%BeginExpansion
%%
%EndExpansion

\vspace{1pt}

\subsection{Setup}

$\limfunc{num}=\limfunc{rand}(1,10)$ [$\limfunc{num}$ genera los numeradores]

$\limfunc{den}=\limfunc{rand}(2,10)$ \ [$\limfunc{den}$ genera los
denominadores]

Choice Space: 2

Choices:\ No Break, Radio Buttons, Permute

Question Space: 1

Title:Ecuaciones de primer grado

Submit: Comprueba tus respuestas

\subsection{Setup}

Select: 10

\section{Variant}

\subsection{Setup}

$a:=\limfunc{rand}(-10,10)$

$b:=\limfunc{rand}(-10,10)$

$X=-b/a$

Conditions: $\left( ab\neq 0\right) \wedge (a\neq b)\wedge \left( a\neq
-b\right) $

\subsection{Statement}

Resuelve: $%
%TCIMACRO{\FORMULA{ax+b}{ax+b}{evaluate}}%
%BeginExpansion
ax+b%
%EndExpansion
=0$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\limfunc{rand}(-10,10)$

$b:=\limfunc{rand}(-10,10)$

$X=b/a$

Conditions: $\left( ab\neq 0\right) \wedge (a\neq b)\wedge \left( a\neq
-b\right) $

\subsection{Statement}

Resuelve: $%
%TCIMACRO{\FORMULA{ax}{ax}{evaluate}}%
%BeginExpansion
ax%
%EndExpansion
=%
%TCIMACRO{\FORMULA{b}{b}{evaluate}}%
%BeginExpansion
b%
%EndExpansion
$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\frac{\limfunc{num}}{\limfunc{den}}$

$b:=\frac{\limfunc{num}}{\limfunc{den}}$

$X=-b/a$

Conditions: $\left( ab\neq 0\right) \wedge (a\neq b)\wedge \left( a\neq
-b\right) $

\subsection{Statement}

Resuelve: $%
%TCIMACRO{\FORMULA{ax+b}{ax+b}{evaluate}}%
%BeginExpansion
ax+b%
%EndExpansion
=0$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\frac{\limfunc{num}}{\limfunc{den}}$

$b:=\frac{\limfunc{num}}{\limfunc{den}}$

$X=b/a$

Conditions: $\left( ab\neq 0\right) \wedge (a\neq b)\wedge \left( a\neq
-b\right) $

\subsection{Statement}

Resuelve: $%
%TCIMACRO{\FORMULA{ax-b}{ax-b}{evaluate}}%
%BeginExpansion
ax-b%
%EndExpansion
=0$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\frac{\limfunc{num}}{\limfunc{den}}$

$b:=\frac{\limfunc{num}}{\limfunc{den}}$

$X=b/a$

Conditions: $\left( ab\neq 0\right) \wedge (a\neq b)\wedge \left( a\neq
-b\right) $

\subsection{Statement}

Resuelve: $%
%TCIMACRO{\FORMULA{ax}{ax}{evaluate}}%
%BeginExpansion
ax%
%EndExpansion
=%
%TCIMACRO{\FORMULA{b}{b}{evaluate}}%
%BeginExpansion
b%
%EndExpansion
$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\frac{\limfunc{num}}{\limfunc{den}}$

$b:=\frac{\limfunc{num}}{\limfunc{den}}$

$X=-b/a$

Conditions: $\left( ab\neq 0\right) \wedge (a\neq b)\wedge \left( a\neq
-b\right) $

\subsection{Statement}

Resuelve: $%
%TCIMACRO{\FORMULA{-ax}{-ax}{evaluate}}%
%BeginExpansion
-ax%
%EndExpansion
=%
%TCIMACRO{\FORMULA{b}{b}{evaluate}}%
%BeginExpansion
b%
%EndExpansion
$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\limfunc{rand}(-10,10)$

$b:=\limfunc{rand}(-10,10)$

$X=\left( 1-b\right) /a$

Conditions: $\left( a\left( b-1\right) \neq 0\right) \wedge (a\neq
b-1)\wedge \left( a\neq -b+1\right) $

\subsection{Statement}

Resuelve: $%
%TCIMACRO{\FORMULA{ax+b}{ax+b}{evaluate}}%
%BeginExpansion
ax+b%
%EndExpansion
=1$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\frac{\limfunc{num}}{\limfunc{den}}$

$b:=\frac{\limfunc{num}}{\limfunc{den}}$

$X=\left( 1-b\right) /a$

Conditions: $\left( a\left( b-1\right) \neq 0\right) \wedge (a\neq
b-1)\wedge \left( a\neq -b+1\right) $

\subsection{Statement}

Resuelve: $%
%TCIMACRO{\FORMULA{ax+b}{ax+b}{evaluate}}%
%BeginExpansion
ax+b%
%EndExpansion
=1$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\limfunc{rand}(-10,10)$

$b:=\limfunc{rand}(-10,10)$

$c:=\limfunc{rand}(-10,10)$

$X=\left( c-b\right) /a$

Conditions: $\left( a\left( b-c\right) \neq 0\right) \wedge (a\neq
b-c)\wedge \left( a\neq c-b\right) $

\subsection{Statement}

Resuelve: $%
%TCIMACRO{\FORMULA{ax+b}{ax+b}{evaluate}}%
%BeginExpansion
ax+b%
%EndExpansion
=%
%TCIMACRO{\FORMULA{c}{c}{evaluate}}%
%BeginExpansion
c%
%EndExpansion
$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\frac{\limfunc{num}}{\limfunc{den}}$

$b:=\frac{\limfunc{num}}{\limfunc{den}}$

$c:=\frac{\limfunc{num}}{\limfunc{den}}$

$X=\left( c-b\right) /a$

Conditions: $\left( a\left( b-c\right) \neq 0\right) \wedge (a\neq
b-c)\wedge \left( a\neq c-b\right) $

\subsection{Statement}

Resuelve: $%
%TCIMACRO{\FORMULA{ax+b}{ax+b}{evaluate}}%
%BeginExpansion
ax+b%
%EndExpansion
=%
%TCIMACRO{\FORMULA{c}{c}{evaluate}}%
%BeginExpansion
c%
%EndExpansion
$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\limfunc{rand}(-10,10)$

$b:=\limfunc{rand}(-10,10)$

$X=a-2b$

Conditions: $\left( \left\vert X\right\vert \neq 1\right) \wedge (a\neq
b)\wedge \left( X\neq 0\right) $

\subsection{Statement}

Resuelve: $\frac{%
%TCIMACRO{\FORMULA{x+a}{x+a}{evaluate}}%
%BeginExpansion
x+a%
%EndExpansion
}{%
%TCIMACRO{\FORMULA{x+b}{x+b}{evaluate}}%
%BeginExpansion
x+b%
%EndExpansion
}=2$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\limfunc{rand}(-10,10)$

$b:=\limfunc{rand}(-10,10)$

$c:=\limfunc{rand}(3,10)$

$X=\left( a-cb\right) /\left( c-1\right) $

Conditions: $\left( \left( a-cb\right) \left( c-1\right) \neq 0\right)
\wedge \left( \left| \frac{a-cb}{c-1}\right| \neq 1\right) $

\subsection{Statement}

Resuelve: $\frac{%
%TCIMACRO{\FORMULA{x+a}{x+a}{evaluate}}%
%BeginExpansion
x+a%
%EndExpansion
}{%
%TCIMACRO{\FORMULA{x+b}{x+b}{evaluate}}%
%BeginExpansion
x+b%
%EndExpansion
}=%
%TCIMACRO{\FORMULA{c}{c}{evaluate}}%
%BeginExpansion
c%
%EndExpansion
$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\limfunc{rand}(-10,10)$

$b:=\limfunc{rand}(-10,10)$

$X=-a$

Conditions: $\left( ab\neq 0\right) \wedge \left( a\neq b\right) $

\subsection{Statement}

Resuelve: $\frac{%
%TCIMACRO{\FORMULA{x+a}{x+a}{evaluate}}%
%BeginExpansion
x+a%
%EndExpansion
}{%
%TCIMACRO{\FORMULA{x+b}{x+b}{evaluate}}%
%BeginExpansion
x+b%
%EndExpansion
}=0$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\limfunc{rand}(-10,10)$

$b:=\limfunc{rand}(-10,10)$

$c:=\limfunc{rand}(-10,-1)$

$X=\left( a-cb\right) /\left( c-1\right) $

Conditions: $\left( \left( a-cb\right) \left( c-1\right) \neq 0\right)
\wedge \left( \left| \frac{a-cb}{c-1}\right| \neq 1\right) \wedge \left(
a\neq b\right) $

\subsection{Statement}

Resuelve: $\frac{%
%TCIMACRO{\FORMULA{x+a}{x+a}{evaluate}}%
%BeginExpansion
x+a%
%EndExpansion
}{%
%TCIMACRO{\FORMULA{x+b}{x+b}{evaluate}}%
%BeginExpansion
x+b%
%EndExpansion
}=%
%TCIMACRO{\FORMULA{c}{c}{evaluate}}%
%BeginExpansion
c%
%EndExpansion
$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\frac{\limfunc{num}}{\limfunc{den}}$

$b:=\frac{\limfunc{num}}{\limfunc{den}}$

$X=a-2b$

Conditions: $(a\neq 2b)\wedge \left( \left| a-2b\right| \neq 1\right) \wedge
\left( a\neq b\right) $

\subsection{Statement}

Resuelve: $\frac{%
%TCIMACRO{\FORMULA{x+a}{x+a}{evaluate}}%
%BeginExpansion
x+a%
%EndExpansion
}{%
%TCIMACRO{\FORMULA{x+b}{x+b}{evaluate}}%
%BeginExpansion
x+b%
%EndExpansion
}=2$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\frac{\limfunc{num}}{\limfunc{den}}$

$b:=\frac{\limfunc{num}}{\limfunc{den}}$

$c:=\frac{\limfunc{num}}{\limfunc{den}}$

$X=\left( a-cb\right) /\left( c-1\right) $

Conditions: $\left( a-cb\neq 0\right) \wedge \left( c>1\right) \wedge \left(
\left| \frac{a-cb}{c-1}\right| \neq 1\right) \wedge \left( a\neq b\right) $

\subsection{Statement}

Resuelve: $\frac{%
%TCIMACRO{\FORMULA{x+a}{x+a}{evaluate}}%
%BeginExpansion
x+a%
%EndExpansion
}{%
%TCIMACRO{\FORMULA{x+b}{x+b}{evaluate}}%
%BeginExpansion
x+b%
%EndExpansion
}=%
%TCIMACRO{\FORMULA{c}{c}{evaluate}}%
%BeginExpansion
c%
%EndExpansion
$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\frac{\limfunc{num}}{\limfunc{den}}$

$b:=\frac{\limfunc{num}}{\limfunc{den}}$

$X:=-a$

Conditions: $\left( ab\neq 0\right) \wedge (a^{2}\neq 1)\wedge \left( a\neq
b\right) $

\subsection{Statement}

Resuelve: $\frac{%
%TCIMACRO{\FORMULA{x+a}{x+a}{evaluate}}%
%BeginExpansion
x+a%
%EndExpansion
}{%
%TCIMACRO{\FORMULA{x+b}{x+b}{evaluate}}%
%BeginExpansion
x+b%
%EndExpansion
}=0$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$

\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\section{Variant}

\subsection{Setup}

$a:=\frac{\limfunc{num}}{\limfunc{den}}$

$b:=\frac{\limfunc{num}}{\limfunc{den}}$

$c:=-\frac{\limfunc{num}}{\limfunc{den}}$

$X=\left( a-cb\right) /\left( c-1\right) $

Conditions: $\left( \left( a-cb\right) \left( c-1\right) \neq 0\right)
\wedge \left( \left\vert X\right\vert \neq 1\right) \wedge \left( a\neq
b\right) $

\subsection{Statement}

Resuelve: $\frac{%
%TCIMACRO{\FORMULA{x+a}{x+a}{evaluate}}%
%BeginExpansion
x+a%
%EndExpansion
}{%
%TCIMACRO{\FORMULA{x+b}{x+b}{evaluate}}%
%BeginExpansion
x+b%
%EndExpansion
}=%
%TCIMACRO{\FORMULA{c}{c}{evaluate}}%
%BeginExpansion
c%
%EndExpansion
$.

\subsection{Choices}

\begin{itemize}
\item $%
%TCIMACRO{\FORMULA{-1/X}{-\frac{1}{X}}{evaluate}}%
%BeginExpansion
-\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{-X}{-X}{evaluate}}%
%BeginExpansion
-X%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{1/X}{\frac{1}{X}}{evaluate}}%
%BeginExpansion
\frac{1}{X}%
%EndExpansion
$

\item $%
%TCIMACRO{\FORMULA{X}{X}{evaluate}}%
%BeginExpansion
X%
%EndExpansion
\correctchoice{}$
\end{itemize}

\begin{description}
\item[Fixed] Ninguna de las anteriores
\end{description}

\end{document}