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12.Practice.Tests.for.the.SAT_2015-2016_1128p

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1 2 Practice <strong>Tests</strong> <strong>for</strong> <strong>the</strong> <strong>SAT</strong><br />

Practice Test Ten Answers and Explanations 899<br />

I<br />

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

Call <strong>the</strong> width of UVWX w and <strong>the</strong> length 2w:<br />

2w(w) = 72<br />

2w2 =72<br />

w2 =36<br />

W=6=UV<br />

UX = 12<br />

UZ = Q =3<br />

4<br />

15. D<br />

Difficulty: Medium<br />

Strategic Advice: The problem almost solves itself if you<br />

recall that a slope is negative when it slants downward.<br />

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

The slope is negative when <strong>the</strong> height of <strong>the</strong> line is<br />

decreasing, as it is here between <strong>the</strong> y-axis and x = 5.<br />

16. c<br />

Difficulty: Medium<br />

Strategic Advice: Perhaps <strong>the</strong> best beginning you can make<br />

with a question is to sharply define its key issue or issues. In<br />

this case, that issue is <strong>the</strong> properties of a line whose slope<br />

is zero.<br />

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

A line with a slope of zero is horizontal. A horizontal line that<br />

passes through ( 4, -3) has infinitely many points, every one<br />

of which has a y-coordinate of -3.<br />

17. B<br />

Difficulty: High<br />

Strategic Advice: Don't let complex-looking symbol<br />

questions daunt you. They merely give you some rule that<br />

you'll be asked to work with later in <strong>the</strong> question. In this case,<br />

<strong>the</strong> symbol should make you think, "How many triangles<br />

could exist with integer side measures a, b, and x ?" This<br />

question, in turn, should conjure in your mind <strong>the</strong> triangle<br />

inequality <strong>the</strong>orem, which requires that in any triangle <strong>the</strong><br />

measure of any side be less than <strong>the</strong> sum of, and greater<br />

than <strong>the</strong> difference between, <strong>the</strong> two o<strong>the</strong>r sides.<br />

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

7-2

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