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\leftline{\bf  Math 135 - section 01 -  Precalculus Diagnostic Quiz}
\leftline{\bf  August 30,  2013}
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\leftline{Your Name:$\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$}

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\noindent
{\bf Show your work} and circle the correct answer.  Please turn over for problems 4,5,6.
\begin{enumerate}
\item Let $f(x) = x^2 - x$ and $g(x) = x + 1$.  Which function is $f(g(x))$?

A.  $x^2 - x$\ \ \ \ \ B. $x^2 + 3x$\ \ \ \ \ \ C. $x^2 + x$\ \ \ \ \ D. $x^2 + x + 2$
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\item Find common factors and cancel to simplify: $\displaystyle \frac{12x}{3x-6} \cdot \frac{x^2-4}{2x+4}$\vspace{.1in}

A. \ $\displaystyle \frac{x^2+12x-4}{5x-2}$ \ \ \ \ \ B. \ $\displaystyle 2x$ \ \ \ \ \ C. \ $\displaystyle -\frac{4}{3}(x-1)$ \ \ \ \ \ D. \ $\displaystyle \frac{12x^3-48x}{6x^2-12}$\vspace{1.8in}

\item Which is equal to $\displaystyle \left(u^{-5}v^2 \right)^3 \left(\frac{v^2}{u}\right)^{-1}$?\vspace{.1in}

A. \ $u^{-16}v^8$ \ \ \ \ \ B. \ $u^{-14}v^{4}$ \ \ \ \ \ C. \ $u^{-9}v^{3}$ \ \ \ \ \ D. \ $(uv)^{-7}$ \vspace{1.8in}


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\item If $f(x) = 5x^2-11$, what is $f(a+1) - f(a)$? \vspace{2.5in}

\item Find all real number values of $x$ satisfying $2(x-2) > 5$. \vspace{2.5in}

\item Solve for $x$:  \ \ $2x^2 - x - 6=0$ (find all real number solutions). 



\end{enumerate}

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