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12 Practice <strong>Tests</strong> <strong>for</strong> t h e <strong>SAT</strong><br />

468<br />

Practice Test Five Answers and Explanations<br />

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

T h e point on t h e l ine is (2, 6), and t h e s l ope is -3.<br />

y=mx+b<br />

12=b<br />

19. E<br />

6 = (-3)(2) + b<br />

6=-6 + b<br />

Difficulty: Hig<br />

Strategic Advice: h<br />

Picking Num b ers may not b e t h e b est<br />

strategy h ere, since you may h ave to pick up to five<br />

num b ers to answer t h is question correct l y. Remem b er t h at<br />

wb h en dea l ing wit h d ivision of exponents wit h t h e same<br />

ase, you can su b tract t h e exponent in t h e denominator<br />

from t h e exponent in t h e numerator to find t h e exponent<br />

t h e b ase is raised to.<br />

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

3' + l<br />

r& l = Y=-1 =3(r+l) - (r - l ) =3' + 1 - r+l =32 =9<br />

No matter w h at t h e va l ue of r is, r & l wi ll a l ways equa l 9.<br />

20. c<br />

Difficulty: Medium<br />

Strategic Advice: Once Mary is assigned an office, t h ere are<br />

fewer offices <strong>for</strong> Anne to b e assigned to.<br />

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

Pro ity Mary is assigned an office wit h an X:<br />

Pro b a b i l ity Anne wi ll b e assigne d an office wit h an i = f<br />

X<br />

h if Mary<br />

as b een assigne d an office wit h an X: t<br />

T<br />

b h e product of t h e two pro b a b i l ities is t h e pro b a b i l ity t h at<br />

ot h wi ll b e assigne d an office wit h an X: .l x .l = l<br />

_<br />

3 5<br />

_<br />

15<br />

SECTION 3<br />

1. A<br />

Difficulty: Low<br />

W h at mig h t you ca ll somet h ing intended merely to gain<br />

more in<strong>for</strong>mation? If a ll you rea ll y know is at Professor<br />

C h ang wanted more in<strong>for</strong>mation and t h at t h is intention<br />

contrasts wit h t h e student fee l s l ig h ted, t h en t h e<br />

professor was pro a b l y just as king a question, a good<br />

prediction <strong>for</strong> t h e b l an k.<br />

C h oice (A) is great matc h <strong>for</strong> your prediction. In (B), a<br />

confession, or admission of gui l t, wou ld not necessari l y b e<br />

used to gain more in<strong>for</strong>mation. In (C), simi l ar l y, a dismissal<br />

wou ld pro b a b l y not b e use d to gain more in<strong>for</strong>mation. In<br />

(0), a condemnation cou ld quite easi l y l ead to someone<br />

fee l ing s l ig h ted: b ut wou ld not gain more in<strong>for</strong>mation. In (E),<br />

a credo, or statement of b e l iefs, wou ld not necessari l y b e<br />

used to gain more in<strong>for</strong>mation.<br />

2. B<br />

Difficulty: Medium<br />

Despite signa l s t h at t h e dog's appearance must contrast<br />

wit h ow Step h anie spent h er money. If a ll you know is<br />

t h at t h e appearance of Step h anie's dog contrasts wit t h e<br />

amount of money s h e spent on h is grooming, t h en h er<br />

dog must appear neater t h an one wou ld expect if very l itt l e<br />

money was spent on grooming. It may a l so b e messier<br />

t h an wou ld b e expecte d if l ots of money were spent on<br />

grooming, so l ook <strong>for</strong> a c h oice t h at matc h es one of t h ese<br />

sets of criteria.<br />

In (A), if an enormous amount of money h ad b een spent<br />

on grooming, one wou ld expect t h e dog to l ook orderly.<br />

C h oice (B) is a good fit <strong>for</strong> your prediction. In (C), t h e<br />

amount of money spent on grooming wou ld not necessari l y<br />

make a dog l ook more or l ess annoyed. In (0), simi l ar l y,<br />

t h e amount of money spent on grooming, unrealistic or<br />

ot h erwise, wou ld not make a dog appear more or l ess<br />

distracted. In (E), once again, a we ll -groomed dog wou<br />

not necessari l y appear more or l ess ld<br />

agitated.<br />

3. A<br />

Difficulty: Medium<br />

W h at wou ld l an even more sophisticated machine ike l y do<br />

to an invention t h at was once e most advanced on t h e<br />

market? If a ll you know is t h at t h ere was a mac h ine t h at had<br />

been <strong>the</strong> most technologically advanced of its time, and<br />

t h at l ater an even more sophisticated machine came a l ong,<br />

it is l ike l y t h e newer mac h ine rep l aced or succeeded t h e<br />

o ld er one, b ot h great predictions <strong>for</strong> t h e b l an k.<br />

C h oice (A) matc h es your prediction nice l y. In (B), a<br />

more sophisticated machine wou ld pro b a b l y not<br />

increase or dou b l e an o lder one. In (C), w h i l e t h e more

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