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\begin{document}


{\Large Part 1. Sample Problems}

\bigskip

\begin{enumerate}
\item Consider the equation $2x^{2}+x+34=21x-8$.

\begin{enumerate}
\item Is the number $1$ a solution of the equation?

\item Is $3$ a solution of the equation?

\item Is $x=4$ a solution of the equation?

\item Is $7$ a solution of the equation?
\end{enumerate}

\item Consider the equation \ $3a-2b-1=\left( a-b\right) ^{2}+4$.

\begin{enumerate}
\item Is the pair of numbers $a=8$ and $b=5$ a solution of the equation?

\item Is the pair of numbers $a=10$ and $b=7$ a solution of the equation?

\bigskip \bigskip
\end{enumerate}
\end{enumerate}

{\Large Part 2. Practice Problems}\bigskip

\begin{enumerate}
\item Consider the equation $\dfrac{2x^{2}-11x-21}{2x+3}=\allowbreak
3x-\left( 2x+7\right) $.

\begin{enumerate}
\item Is the number $8$ a solution of the equation?

\item Is $13$ a solution of the equation?

\item Is $x=10$ a solution of the equation?
\end{enumerate}

\item Consider the equation $y=\dfrac{5x-3}{2}$.

\begin{enumerate}
\item Is the pair of numbers $x=1$ and $y=1$ a solution of the equation?

\item Is the pair of numbers $x=9$ and $y=4$ a solution of the equation?

\item Is the pair of numbers $x=3$ and $y=6$ a solution of the equation?

\item Is the pair of numbers $x=17$ and $y=41$ a solution of the equation?
\end{enumerate}

\item Consider the equation \ $\left( p-q\right) ^{2}+\dfrac{3p-1}{6-q}%
=4\left( p+1\right) $.

\begin{enumerate}
\item Is the pair of numbers $p=8$ and $q=5$ a solution of the equation?

\item Is the pair of numbers $p=7$ and $q=1$ a solution of the equation?
\end{enumerate}
\end{enumerate}

\end{document}