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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

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