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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 Two Answers an d Exp l anations<br />

203<br />

I<br />

9 AM Jan 1 6 - 9 PM Jan 16<br />

9 PM Jan 16 - 9 AM Jan 17 +--360°<br />

9 AM Jan 17 - 9 PM Jan 17 +-- 120°<br />

Add all of <strong>the</strong> degrees to get 840°.<br />

6. A<br />

Difficu l ty: Medium<br />

Strategic A d vice: Picking Numbers works great here. Select<br />

numbers that follow all <strong>the</strong> rules in <strong>the</strong> question stem and<br />

are easy to work with.<br />

Getting to t h e Answer:<br />

Pick an odd integer: 11.<br />

How many positive even integers are less than 1 1? There's<br />

2, 4, 6, 8, and 10 <strong>for</strong> a total of 5.<br />

Plug 11 into <strong>the</strong> answer choices until you find <strong>the</strong> one that<br />

produces a value of 5.<br />

7. A<br />

Difficu l ty: Medium<br />

Strategic A d vice: You're given 5 and asked <strong>for</strong> Sm-which<br />

means you want to multiply 5 by m. But remember that if<br />

you multiply <strong>the</strong> 5 on <strong>the</strong> left side of <strong>the</strong> equation by m,<br />

you must do <strong>the</strong> same to <strong>the</strong> mx on <strong>the</strong> right side.<br />

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

You could also pick a number <strong>for</strong> m.<br />

S=mx<br />

Sm = mmx<br />

5m = m 1 mx<br />

5m =m 1 +x<br />

8. B<br />

Difficu l ty: Medium<br />

Strategic A d vice: A good idea <strong>for</strong> a problem like this is to<br />

create a mental road map. Figure out what you're looking<br />

<strong>for</strong>, see what you need to know to find that, <strong>the</strong>n work out<br />

how to get from <strong>the</strong> in<strong>for</strong>mation in <strong>the</strong> question to <strong>the</strong><br />

in<strong>for</strong>mation you need. In this case, you need to start with q<br />

to get to s. Substitute carefully.<br />

Getting to t h e Answer:<br />

Vq = 6, so q = 36<br />

g_ = 4 36 = 4 so p = 9<br />

p ' p '<br />

9 + 36 = 9<br />

s<br />

45<br />

- = 9 so s=S<br />

s '<br />

9. A<br />

Difficu l ty: Medium<br />

Strategic A d vice: First find <strong>the</strong> equation of <strong>the</strong> line in slopeintercept<br />

<strong>for</strong>m (y = mx + b ). Find <strong>the</strong> slope (m) using <strong>the</strong><br />

y -y<br />

<strong>for</strong>mula ' <strong>the</strong>n use <strong>the</strong> slope and any point on <strong>the</strong><br />

X2 X1<br />

line to determine what <strong>the</strong> y-intercept (b) is. Once you have<br />

an equation, rearrange it into <strong>the</strong> <strong>for</strong>m given in <strong>the</strong> answer<br />

choices.<br />

Getting to t h e Answer:<br />

m = h - Yi = -2..=....1_ = _1_ =<br />

__ 1_<br />

X2 - X1 -1 - 3 -4 4<br />

4 = -+(3) + b<br />

J..§_ = _<br />

_l_ +b<br />

4 4<br />

= b<br />

4<br />

1 19<br />

y=--x +-<br />

4 4<br />

4y =-x+ 19<br />

x+ 4y = 19<br />

You could also plug both sets of coordinates into <strong>the</strong><br />

answers; only (A) works <strong>for</strong> both (3,4) and (- 1,5).<br />

10. D<br />

Difficu l ty: Medium<br />

Strategic A d vice: Substitute x = 6 into <strong>the</strong> function and<br />

simplify. Be sure to follow <strong>the</strong> correct order of operations<br />

(PEMDAS).<br />

Getting to t h e Answer:<br />

63 -6<br />

f(6) = 6 2 - 2(6) + 6<br />

11. B<br />

216-6 = 2 1 0 = 7<br />

36 - 12 + 6 30<br />

Difficu l ty: Medium<br />

Strategic A d vice: Don't waste time trying to write fancy<br />

expressions <strong>for</strong> 35 in terms of x-just convert <strong>the</strong> answer<br />

choices into powers of 3.

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