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

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

Practice Test Twelve Answers and Explanations I<br />

1083<br />

17. l. or .5<br />

2<br />

Difficulty: High<br />

Strategic Advice: You may not have talked about equations<br />

that look like this in your math class, but try plugging in<br />

points to draw a sketch. x = 3 and x = 1 1 are good ones to<br />

start with, since <strong>the</strong>se are <strong>the</strong> ones relevant to <strong>the</strong> problem.<br />

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

If you plug in x = 3:<br />

3=y2 +2<br />

1 =y2<br />

y=±l<br />

This means that (3, 1) and (3, - 1) are both on <strong>the</strong> curve.<br />

Next, try x = 11 :<br />

ll= y2 +2<br />

9=y2<br />

y=±3<br />

This means that (1 1, 3) and (1 1, -3) are both on <strong>the</strong> curve.<br />

At this point, you could plot <strong>the</strong> four points and figure out<br />

how to get <strong>the</strong> largest slope possible. This happens with<br />

points (1 1, -3) and (3, 1).<br />

18. 2 < x < 6<br />

Difficulty: High<br />

Strategic Advice: Draw some diagrams to solve this<br />

question.<br />

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

The circumference of a circle is 2nr. Since <strong>the</strong><br />

circumference of circle A is 4n, its radius is 2; since <strong>the</strong><br />

circumference of circle 8 is Sn, its radius is 4. The circles<br />

intersect at two points, so <strong>the</strong>y must overlap. If <strong>the</strong>y were<br />

tangent (that is, touch at one point) with circle A inside<br />

circle 8, <strong>the</strong> distance between <strong>the</strong>ir centers would be 2;<br />

if <strong>the</strong>y were tangent with circle A outside circle 8, <strong>the</strong><br />

distance between <strong>the</strong>ir centers would be 6.<br />

SECTION 6<br />

1. E<br />

Difficulty: High<br />

Even a sentence with multiple verbs and verb <strong>for</strong>ms can<br />

be a fragment; look <strong>for</strong> a subject and predicate verb in an<br />

independent clause.<br />

As written, this sentence is a fragment·since none of its<br />

clauses are independent. There is no main verb following<br />

<strong>the</strong> subject bars. Choice (E) corrects this error without<br />

introducing any new ones. Choices (B) and (C) are<br />

unnecessarily wordy and fail to relate <strong>the</strong> two clauses. The<br />

pronoun <strong>the</strong>y in (D) has no clear antecedent.<br />

2. A<br />

Difficulty: High<br />

If you don't spot an error, don't be afraid to select (A).<br />

This sentence is correct as written. The verb offer is in<br />

agreement with <strong>the</strong> plural subject movie screenings, and <strong>the</strong><br />

idiom both . .. and is used correctly. Choices (B), (D), and<br />

(E) all incorrectly change <strong>the</strong> plural verb offer to <strong>the</strong> singular<br />

offers; additionally, <strong>the</strong> singular pronouns it in (D) and this<br />

in (E) do not agree with <strong>the</strong> plural screenings. Choice (C) is<br />

incorrect grammatical structure.<br />

3. D<br />

Difficulty: High<br />

If you don't spot a grammar or usage error, look <strong>for</strong> an error in<br />

style. As written, this sentence is unnecessarily wordy. Choice<br />

(D) makes <strong>the</strong> sentence more concise without introducing<br />

any grammatical errors. Choice (B) is a sentence fragment.<br />

Choices (C) and (E) are incorrect grammatical structure<br />

4. D<br />

Difficulty: Medium<br />

Not all long selections denote wordiness issues, but always<br />

check <strong>for</strong> a more concise version of <strong>the</strong> sentence.<br />

As written, this sentence is overly wordy. Choice (D) is concise<br />

and doesn't lose any of <strong>the</strong> meaning of <strong>the</strong> original sentence.<br />

Choices (B), (C), and (E) are all still awkward and wordy.<br />

5. D<br />

Difficulty: Medium<br />

The gerund (-ing) verb cannot be <strong>the</strong> main verb of a<br />

sentence.

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