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{\Large TEST 2

Math 101 - 2}
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\vspace{.1in}
You have 50 minutes to complete the test.  
You may not use a calculator.  
Show all relevant work (or else no credit).  
Put a box around your answer.  
Make your work legible, if I can't read it, I can't grade it.  
Every question is worth 10 points.

\vspace{.1in}

Name \rule{5in}{.2pt}

\begin{enumerate}
\vspace{.1in}

\item  For the polynomial: $17x^4-13x^6+1+6x$
\begin{enumerate}
\item  What is the degree of the polynomial?
\vspace{.2in}
\item  What is the leading coefficient?
\end{enumerate}
\vspace{.2in}

\item  Find the sum:
\[
(3x^2+x^3-1)+(x^3-3x^2+2)
\]
\vspace{2in}

\item  Simplify:
\[
\frac{12a^3b^4}{(3ab)^2}
\]
%\vspace{2in}
\newpage

\item  Multiply (collect like terms too!)
\[
(x+2)(x^2-2x+4)
\]
\vspace{1.8in}

\item  Factor completely:
\[
y^3-27
\]
\vspace{1.8in}

\item  Factor completely:
\[
4t^2-24t-13
\]
\vspace{1.8in}
%\newpage

\item  Factor completely:
\[
x^2-12x+32
\]
%\vspace{1.8in}
\newpage

\item  Solve the equation:
\[
x^2+2x=35
\]
\vspace{2in}

\item  Solve the equation:
\[
x^2=18x-81
\]
\vspace{2in}

\item  The length of a rectangle is $\frac{3}{2}$ times the width.
The area of the rectangle is 54 cm$^2$.  
Find the length and width of the rectangle.

\end{enumerate}

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