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\centerline{Mathematics 133 -- Calculus With Fundamentals 1}
\centerline{Precalculus Review}
\centerline{September 1, 2017}
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\noindent
The following problems are an ``unofficial'' review quiz on some algebraic
topics that we will be using all the time this semester.  You have 20 minutes;
we will reconvene as a class and discuss the solutions after that time.    
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\item{1.} 
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\itemitem{a)}   Express the $x$ that satisfy $|3x - 3| < 2$ as an interval.
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\itemitem{b)}   Write the closed interval $[4,9]$ in the form ``the set of all 
$x$ satisfying $|x - c| \le r$ for some $c, r$.''  
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\item{2.}  
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\itemitem{a)} Simplify to rewrite as $x^a$ for some $a$: ${x^{-1/3} \over x^{1/2}}$
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\itemitem{b)} Simplify:  $(x^2 y^{-3})(x^{-5} y^3)$
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\item{3.}  Factor as much as possible:
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\itemitem{a)}  $3x^2 - 6x - 24 = $
\itemitem{b)}  $9x^2 - 16y^4 = $
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\item{4.}  Solve for $x$:
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\itemitem{a)}  $x^2 - 5x + 6 = 0$
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\itemitem{b)}  $8x^2 - 8x - 3 = 0$  (Note: this one {\it does not factor nicely})
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\item{5.} A salesperson's monthly commission is $15\%$ on all sales over $\$20000$. 
If her goal is to make a commission of at least $\$3000$ per month, what should 
her monthly sales be?
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