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

750 Practice Test Eight Answers and Explanations<br />

<strong>the</strong>se triangles must also measure 45°. Now you know <strong>the</strong><br />

measurement of every angle in <strong>the</strong> figure and can label<br />

all of <strong>the</strong>m appropriately. Since RSTU is a rectangle, let's<br />

call line segments ST and RU .e, <strong>for</strong> length. Notice that line<br />

segment ST is not only a side of <strong>the</strong> rectangle but also a<br />

leg of triangle YST. Since YST is a 45-45-90, or isosceles<br />

right triangle, its legs must also be equal in length. So if ST<br />

is .€, <strong>the</strong>n YT is .e also. If ST and RU represent <strong>the</strong> length of<br />

<strong>the</strong> rectangle, <strong>the</strong>n SR and TU must represent <strong>the</strong> width of<br />

<strong>the</strong> rectangle, so you can call those two line segments w.<br />

Since SR is one leg of isosceles right triangle SXR, <strong>the</strong>n XR<br />

must also have length w. Now you know <strong>the</strong> relationship<br />

between all <strong>the</strong> line segments.<br />

Back to <strong>the</strong> perimeter. The perimeter of RSTU is 1 2, so<br />

2(w + .€) = 12. That means that w + .f. = 6. Notice that <strong>the</strong><br />

sides of <strong>the</strong> larger triangle, XU and YU, are also equal to w +<br />

.e. XU is made up of XR and RU, which have lengths w and<br />

.e, respectively, and YU is made up of YT, or .e, and TU, or<br />

w. Since each of <strong>the</strong> legs of triangle XYU have length w + .e,<br />

and w + .e = 6, <strong>the</strong> legs of triangle XYU each have length 6.<br />

The area of a right triangle is <strong>the</strong> product of <strong>the</strong> lengths of<br />

<strong>the</strong> legs, or x 6 x 6, or 18, (C).<br />

SECTION 8<br />

1. D<br />

Difficulty: Medium<br />

The word while indicates that <strong>the</strong> two missing words<br />

must be opposite, or nearly opposite, in meaning. The<br />

government probably promised to make <strong>the</strong> <strong>for</strong>ms easier to<br />

use, or to simplify <strong>the</strong>m. The second blank should contrast<br />

with that, so bewildering, (D), is a good prediction.<br />

The words in (A) don't show a contrast between <strong>the</strong> blanks.<br />

In (B), shorten works pretty well <strong>for</strong> <strong>the</strong> first blank, but<br />

expensive doesn't contrast with that. Be careful here; it's <strong>the</strong><br />

taxes, not <strong>the</strong> tax <strong>for</strong>ms, that people might find expensive.<br />

For (C) and (E), if <strong>the</strong> <strong>for</strong>ms were comprehensible or<br />

familiar, people wouldn't need professional help.<br />

2. A<br />

Difficulty: Medium<br />

Be sure that your choice captures <strong>the</strong> full meaning of <strong>the</strong><br />

sentence-here, several of <strong>the</strong> choices make some sense<br />

but <strong>the</strong>y don't involve sounds. The sentence begins with <br />

list of sounds. For <strong>the</strong> first blank, loud is a good prediction.<br />

The second blank needs to sum up this noise, so look <strong>for</strong><br />

something that means big noise.<br />

Choice (A) works perfectly. In (B), running doesn't describe<br />

a sound, and danger doesn't fit ei<strong>the</strong>r. (Why would<br />

trumpets and drums be dangerous?) In (C), a battlefield<br />

might be a horror, but this term doesn't capture <strong>the</strong> sounds<br />

described. In (D), situation doesn't describe <strong>the</strong> sounds<br />

and is too neutral to fit here. Finally, <strong>for</strong> (E), it seems<br />

unlikely that you would find many plodding horses in a<br />

battle, and calm is <strong>the</strong> opposite of your prediction <strong>for</strong> <strong>the</strong><br />

second blank .<br />

3. E<br />

Difficulty: Medium<br />

The sentence sets up a contrast between <strong>the</strong> short- and<br />

long-term effects of some measures. The short-term effects<br />

are positive, but <strong>the</strong> long-term effects are uncertain. Look<br />

<strong>for</strong> a choice that captures this idea. Debated fits well-it<br />

conveys that people don't know what <strong>the</strong> long-term effects<br />

will be and that those effects might differ from <strong>the</strong> positive,<br />

short-term effects. In (A) and (C), <strong>the</strong> words do not reflect<br />

<strong>the</strong> increase in tourism. Choice (B) does not make sense<br />

here-compared with what? Alleged, (D), is too neutral<br />

and does not fit with <strong>the</strong> contrast set up by <strong>the</strong> key word<br />

Although.<br />

4. B<br />

Difficulty: Medium<br />

If you didn't know <strong>the</strong> word improprieties, you could<br />

probably still eliminate <strong>the</strong> four wrong answer choices. It<br />

looks like <strong>the</strong> corporation wanted <strong>the</strong> manager to ignore<br />

some shady accounting policies, so illegal actions is a good<br />

prediction <strong>for</strong> <strong>the</strong> second blank.<br />

The manager refused to ignore this, so he must have<br />

been maintaining his integrity, or (B). That makes (C) <strong>the</strong><br />

opposite of <strong>the</strong> word you're looking <strong>for</strong>. In (A), irregularities<br />

fits well in <strong>the</strong> second blank, but geniality would not make

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