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{\Large TEST 1

Math 101 - 2}
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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  (12 points)  True or False, circle the correct answer:
\[
\begin{tabular}{llll}
T & F & $\frac{1}{2}\%=50\%$ \\
\\
T & F & The lines $y=3x-5$ and $y=3x+5$ are parallel. \\
\\
T & F & The lines $y=\frac{1}{3}x-5$ and $y=3x+5$ are perpendicular. \\
\\
T & F & The $x$-intercept of a graph occurs when $y=0$. \\
\\
\end{tabular}
\]
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\item  (10 points)  Two runners start at the corner of State and North Temple.  One runs south along State traveling 8 MPH and the other travels west along North Temple at 6 MPH.  How far apart are they after $\frac{1}{2}$ hour?
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\item (10 points)  If $g(x)=x^2$, what is $g(x+1)-g(1)$?
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\item  (10 points)  Solve and graph the inequality.
\[ -3 < \frac{2x-3}{2} \leq 3 \]
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\item  (10 points)  Solve the equation:
\[ |x+2|=|3x-1| \]
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\item  (10 points)  A tall flagpole casts a shadow that is 42 feet long.  
At the same time, your 6 foot friend has a shadow that is 9 feet long.  
How tall is the flag pole?
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\item  (10 points)  Find the distance between the points: (1,3) and (-2,7).
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\item  (10 points)  Find the slope of the line connecting the points
 (3,6) and (5,-2).
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\item  (10 points)  Graph the equation, label all $x$ and $y$-intercepts.
\[ x-2y-2=0 \]
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\item  (10 points)  In the following graph, is $y$ a function of $x$?
Why or why not?

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\end{enumerate}

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