Doing the Math - JHU Mathematics - Johns Hopkins University
Doing the Math - JHU Mathematics - Johns Hopkins University
Doing the Math - JHU Mathematics - Johns Hopkins University
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Accuplacer Sample VSC Algebra I/ HSA VSC Notes<br />
Skill Problem Data Analysis Comparable Additional<br />
Problem Topics<br />
Solving linear<br />
inequalities<br />
(continued)<br />
Solving quadratic<br />
equations (by<br />
factoring)<br />
Verbal problems<br />
presented in an<br />
algebraic context,<br />
including geometric<br />
reasoning and<br />
graphing<br />
Translation of<br />
written phrases<br />
into algebraic<br />
expressions<br />
In <strong>the</strong> figure below,<br />
both circles have<br />
<strong>the</strong> same center,<br />
and <strong>the</strong> radius of<br />
<strong>the</strong> larger circle is<br />
R. If <strong>the</strong> radius of<br />
<strong>the</strong> smaller circle is<br />
3 units less than R,<br />
which of <strong>the</strong><br />
following represents<br />
<strong>the</strong> area of <strong>the</strong><br />
shaded region?<br />
If A represents <strong>the</strong><br />
number of apples<br />
purchased at 15<br />
cents each, and B<br />
represents <strong>the</strong><br />
number of bananas<br />
purchased at 10<br />
cents each, which<br />
of <strong>the</strong> following<br />
represents <strong>the</strong> total<br />
value of <strong>the</strong><br />
purchases in cents?<br />
1.1.3 The student<br />
will apply addition,<br />
subtraction,<br />
multiplication,<br />
and/or division of<br />
algebraic<br />
expressions to<br />
ma<strong>the</strong>matical and<br />
real-world<br />
problems.<br />
(continued on next page)<br />
• Graph <strong>the</strong><br />
inequality on <strong>the</strong><br />
grid provided in<br />
<strong>the</strong> Answer Book.<br />
• On Thursday,<br />
Ichiro spent exactly<br />
$60 on lunch and<br />
dinner. He spent<br />
three times as<br />
much on dinner as<br />
he spent on lunch.<br />
How much did<br />
Ichiro spend on<br />
lunch? How much<br />
did Ichiro spend<br />
on dinner? Use<br />
ma<strong>the</strong>matics to<br />
explain how you<br />
determined your<br />
answers. Use<br />
words, symbols,<br />
or both in your<br />
explanations.<br />
Three students sold<br />
pizzas to raise<br />
money. Dwayne sold<br />
x pizzas. Tamara sold<br />
x+20 pizzas. Rueben<br />
sold 3(x+20) pizzas.<br />
Which of <strong>the</strong>se<br />
expressions<br />
represents <strong>the</strong> total<br />
number of pizzas<br />
that all three<br />
students sold?<br />
1.1.4.2 The student<br />
will solve quadratic<br />
equations by<br />
factoring and<br />
graphing.<br />
APPENDICES<br />
Factoring is not in<br />
<strong>the</strong> VSC or <strong>the</strong><br />
HSA.<br />
Geometry is<br />
essentially<br />
missing from <strong>the</strong><br />
VSC and <strong>the</strong> HSA.<br />
A problem like this<br />
one could go<br />
ei<strong>the</strong>r way.<br />
The one-variable<br />
limit in <strong>the</strong> “Skill<br />
Statement” for<br />
1.1.3 is<br />
problematic.<br />
However, many of<br />
<strong>the</strong> o<strong>the</strong>r<br />
indicators include<br />
context in <strong>the</strong>ir<br />
“Assessment<br />
Limits” and “Skill<br />
Statement.”<br />
<strong>Doing</strong> <strong>the</strong> <strong>Math</strong> 41