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\begin{center}
{\Large TEST 5

Math 101 - 2}
\end{center}
\vspace{.1in}
You have 50 minutes to complete the test.  
You may not use a calculator.  
Show all relevant work (or else no credit).  
Make your work legible, if I can't read it, I can't grade it.  

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

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\begin{enumerate}

\item  (15 points)  Find all solutions to the equation:
\[
x^{\frac{2}{5}}-x^{\frac{1}{5}}-2=0
\]
\vspace{3in}

\item  (20 points)  Solve the equation:
\[
y^2-3y+4=0
\]
%\vspace{3in}
\newpage

\item  (15 points)  You take a 10 mile hike.  
For the first 6 miles you travel at one speed.  
Then you pick up the pace and finish the next 4 miles 
2 miles per hour faster then the first 6 miles.  
The trip takes 4 hours.
How fast did you go in each part of the hike?
\vspace{5in}
%\newpage

\item  (15 points)  Find the equation of the line through (1,1) and (5,-3).
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\newpage

\item  (15 points)  Graph the inequality:
\[
2x+3y < 9
\]
\vspace{1in}

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\put(50,0){\vector(0,1){100}}
\put(95,53){$x$}
\put(53,95){$y$}
\put(20,49){\line(0,1){2}}
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\put(80,49){\line(0,1){2}}

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\newpage

\item  (20 points)  Graph the parabola and label the vertex clearly.
\[
y=-2x^2-4x+3
\]
\vspace{1in}

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\put(50,0){\vector(0,1){100}}
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\put(35,49){\line(0,1){2}}
\put(65,49){\line(0,1){2}}
\put(80,49){\line(0,1){2}}

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\end{enumerate}

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