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12 Practice <strong>Tests</strong> <strong>for</strong> <strong>the</strong> <strong>SAT</strong><br />

562 Practice Test Six Answers and Explanations<br />

Choice (A) is distortion; <strong>the</strong> author never links parents to<br />

<strong>the</strong> production of better art. Choice (B) is extreme; <strong>the</strong><br />

author presents a more artistically educated society, but<br />

he never goes so far as to claim that this society would<br />

not accept lower-quality art. Choice (C) is correct; <strong>the</strong><br />

author presents children with better artistic educations,<br />

<strong>the</strong>n states that <strong>the</strong>y would grow up to produce better art.<br />

Thus, <strong>the</strong>ir production of better art must stem from <strong>the</strong>ir<br />

artistic education. Choice (D) is distortion; <strong>the</strong> author never<br />

mentions free time. Choice (E) is distortion; <strong>the</strong> author<br />

never discusses how strictly critics would judge art in this<br />

hypo<strong>the</strong>tical society.<br />

SECTION 3<br />

1. E<br />

Difficulty: Low<br />

Strategic Advice: Always read <strong>SAT</strong> questions carefully-tpis<br />

one asks <strong>for</strong> <strong>the</strong> value of x2 and gives you <strong>the</strong> value of x 2.<br />

x 1 is <strong>the</strong> same as Vx. You might find it easier to work with<br />

fractional exponents if you rewrite <strong>the</strong>m as more familiar<br />

l .<br />

roots. Use <strong>the</strong> value of x 2 to find x, <strong>the</strong>n square this to find<br />

x2. Be careful not to stop too soon.<br />

Getting to <strong>the</strong> Answer:<br />

l<br />

x2 =3<br />

l<br />

(x2)2 =x 1 =9 or x=9 = 32<br />

2. A<br />

x2 = 92 = 81<br />

Difficulty: Low<br />

Strategic Advice: The value of g(x) at any point is <strong>the</strong><br />

y-value of that point. What point on this graph is lowest?<br />

What is <strong>the</strong> y-value at that point?<br />

Getting to <strong>the</strong> Answer:<br />

The lowest point is (2, -2). The y-value of that point is -2,<br />

choice (A).<br />

3. E<br />

Difficulty: Low<br />

Strategic Advice: The key to this problem-as in many<br />

problems that deal with interpreting charts and tables-is<br />

really understanding what each value in <strong>the</strong> table represents.<br />

Getting to <strong>the</strong> Answer:<br />

The value of i must represent <strong>the</strong> total of all movies in <strong>the</strong><br />

chart; you can think of it as ei<strong>the</strong>r <strong>the</strong> sum of all comedies<br />

and dramas (c + f) or <strong>the</strong> sum of all new releases and older<br />

titles (g + h ). Since nei<strong>the</strong>r of <strong>the</strong>se expressions is given<br />

as an answer choice, <strong>the</strong> categories must be broken down<br />

fur<strong>the</strong>r. Choice (E) expresses <strong>the</strong> sum of new comedies, old<br />

comedies, new dramas, and old dramas, respectively, which<br />

is equivalent to i as well.<br />

4. E<br />

Difficulty: Medium<br />

Strategic Advice: Here, if you remember <strong>the</strong> triangle<br />

inequality <strong>the</strong>orem, you can score some easy points. The<br />

triangle inequality <strong>the</strong>orem states that <strong>for</strong> any triangle, <strong>the</strong><br />

measure of any side must be less than <strong>the</strong> sum of <strong>the</strong> o<strong>the</strong>r<br />

two sides, but greater than <strong>the</strong> difference of <strong>the</strong> o<strong>the</strong>r two<br />

sides.<br />

Getting to <strong>the</strong> Answer:<br />

Given <strong>the</strong> triangle inequality <strong>the</strong>orem,<br />

x < 6 + 2 and x > 6 - 2<br />

4

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