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\title{\textbf{Math 010 Fall 21 Test 1}}

\date{\vspace{-1in}}

\begin{document}
\noindent \textbf{NAME:}
\begin{center}
{\textbf{\Large Math 010 Fall 22 Mock Test 1}}
\end{center}
\begin{singlespacing}
\noindent \textbf{Directions:} Do all problems. Partial credit will be awarded. No notes/books/friends allowed. No question requires a calculator but you are welcome to use one. Do not use any decimals in your answers. Graphing calculators above the level of a TI - 84 Plus are not allowed (in particular, calculators with a built in CAS or QWERTY keyboard are not allowed).You have 50 minutes to complete this exam.\\
\textbf{REMEMBER TO SHOW ALL WORK} (except the 1st problem).
\begin{enumerate}
\item (10 points, 2 points each)
\begin{enumerate}
\item Compute $2+5$
\item Compute $7+(-3)$
\item Compute $7-3$
\item Compute $3\cdot(-2)$
\item Compute $4\div 2$
\end{enumerate}


\item (5 points) Simplify the fraction: $\frac{540}{630}$
\vspace{4cm}


\item (10 points) Compute and simplify $\frac{7}{4}-\frac{3}{4}$
\vspace{3cm}


\item (5 points) Compute and simplify
$\frac{1}{6}-(-\frac{1}{2})$
\newpage

\item (10 points) Compute and simplify
$\frac{1}{2}\cdot \frac{2}{3}$
\vspace{3cm}


\item (5 points) Compute and simplify
$\frac{1}{2}\div (-\frac{6}{7})$
\vspace{3cm}


\item (5 points) Compute and simplify $\frac{\frac{1}{2}+\frac{5}{6}}{\frac{1}{2}-\frac{2}{3}}$
\vspace{3cm}


\item (10 points) Solve for x: $\frac{1}{3}x=6$
\vspace{3cm}


\item (5 points) Solve for x: $-6+15+3x=x+2x-3x$
\newpage


\item (5 points) Solve the inequality, graph the solution, and write the solution in interval notation: $5x\leq 12x+21$\\
\vspace{3cm}


\item (10 points) Compute and simplify $2^2a+3^3a$
\vspace{3cm}


\item (5 points) Simplify $99^{47}\cdot 99^{-46}$
\vspace{3cm}


\item (5 points) Compute $\sqrt{9}$
\vspace{3cm}


\item (5 points) Compute $\sqrt[33]{9^{33}}$
\vspace{3cm}


\item (5 points) Simplify $\sqrt[3]{8a^{12}}$


\end{enumerate}

\end{singlespacing}
\end{document}
