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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 />

220<br />

Practice Test Two Answers an d Exp l anations<br />

6. D<br />

Difficu l ty: Medium<br />

Strategic A d vice: Use <strong>the</strong> slope <strong>for</strong>mula to find <strong>the</strong> missing<br />

coordinate.<br />

Getting to t h e Answer:<br />

7. B<br />

m= Y 2 - Y1<br />

x 2<br />

- x1<br />

-12= 5 z -7-5<br />

-(-3)<br />

-12=-=12 5 z + 3<br />

5=z+3<br />

2=z<br />

Difficu l ty: Medium<br />

Strategic A d vice: There are variables in <strong>the</strong> question and<br />

variables in <strong>the</strong> answer choices, so pick numbers to get to<br />

<strong>the</strong> answer quickly.<br />

Getting to t h e Answer:<br />

Let h = 1. After <strong>the</strong> first hour at 5 miles per hour, Jerry will<br />

have traveled 5 miles, leaving 45 miles to go. Plug l into<br />

your answer choices and see which one gets you 45.<br />

(A)<br />

5<br />

i(<br />

50<br />

) = -= 50 10<br />

l 5<br />

(B) 50 - 5(1) = 50 - 5 = 45<br />

(C) 250(1) = 250<br />

(D) 50 5<br />

- T<br />

= 50 - 5 = 45<br />

(E) 5( l) - 50 = 5 -45 = -40<br />

Eliminate<br />

OK<br />

Eliminate<br />

OK<br />

Eliminate<br />

Now decide between (B) and (D) using <strong>the</strong> second<br />

hour. After <strong>the</strong> second hour at 5 miles per hour, Jerry<br />

will have traveled l 0 miles, leaving 40 miles to go. Plug<br />

2 into your answer choices and see which one gets<br />

you 40.<br />

(B) 50 - 5(2) = 50 - 10 = 40<br />

(D) 50 - % = 50 - 2.5 = 47.5 Eliminate<br />

8. B<br />

Difficu l ty: Medium<br />

Strategic A d vice: You won't have to use complicated math<br />

in every problem. Sometimes using common sense and<br />

knowledge of <strong>SAT</strong> basics will be enough.<br />

Getting to t h e Answer:<br />

The ratio of teachers to students is l to l 0. That could<br />

mean that <strong>the</strong>re are l teacher and l 0 students, 50 teachers<br />

and 500 students, or some o<strong>the</strong>r numbers with that ratio.<br />

Teachers and students can be divided into groups of 11,<br />

each of which contains l teacher and l O students. The total<br />

number of teachers and students in <strong>the</strong> school, <strong>the</strong>n, must<br />

be a multiple of 11. Of <strong>the</strong> answer choices, only (B) is a<br />

multiple of 11 .<br />

9. c<br />

Difficu l ty: Medium<br />

Strategic A d vice: When solving percent problems, make<br />

sure you place <strong>the</strong> decimal point in <strong>the</strong> right place. You<br />

could also pick numbers if you get stuck.<br />

Getting to t h e Answer:<br />

0.60 x 20y= 12y<br />

10. E<br />

Difficu l ty: Medium<br />

Strategic A d vice: The number of cats, c, and <strong>the</strong> number<br />

of dogs, d, are inversely proportional to each o<strong>the</strong>r, so <strong>the</strong><br />

equation c = (where k is a constant) describes <strong>the</strong>ir<br />

relationship. First, solve <strong>for</strong> k. Once you have k, you can<br />

solve <strong>for</strong> ei<strong>the</strong>r quantity given <strong>the</strong> o<strong>the</strong>r.<br />

Getting to t h e Answer:<br />

You are given <strong>the</strong> values c = l O and d = 50, so<br />

10=-k<br />

50<br />

k=500<br />

Then when d = 20, c = 5 2<br />

° 0<br />

° = 25.<br />

11. E<br />

Difficu l ty: Medium<br />

Strategic A d vice: To find <strong>the</strong> answer choice that must be<br />

true, eliminate <strong>the</strong> ones that are sometimes or always false.

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