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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 Five Answers and Explanations 487<br />

I<br />

2. D<br />

Difficulty: Low<br />

Strategic Advice: The arithmetic mean is defined by <strong>the</strong><br />

sum of a set of numbers divided by <strong>the</strong> number of terms in<br />

<strong>the</strong> set of numbers.<br />

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

7 + 20 +x =20<br />

3<br />

7 + 20 +x= 60<br />

x=33<br />

3. A<br />

Difficulty: Medium<br />

Strategic Advice: Define <strong>the</strong> o<strong>the</strong>r two variables in terms of<br />

one of <strong>the</strong> o<strong>the</strong>r variables.<br />

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

A + B+ C=34<br />

8=4A<br />

C=3B=3(4A) = 12A<br />

A + 4A + 12A = 34<br />

17A = 34<br />

A = 2 greeting cards<br />

4. c<br />

Difficulty: Medium<br />

Strategic Advice: When dealing with percent problems,<br />

remember that of means you will use multiplication.<br />

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

0.05 percent of n is 5<br />

0.05 xn = 5<br />

100<br />

0.0005 xn = 5<br />

n = 0.0<br />

05<br />

= 1 0,000<br />

5 percent of n =<br />

- 5 -xn=<br />

100<br />

0.05 xn =<br />

0.05 x 1 0,000 = 500<br />

5. B<br />

Difficulty: Medium<br />

Strategic Advice: Slope-intercept <strong>for</strong>m of a line is defined<br />

as y = mx + b, where m is <strong>the</strong> slope of <strong>the</strong> line and b is <strong>the</strong><br />

y-intercept.<br />

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

Slope· . -2<br />

3<br />

y-intercept: 5<br />

Equation of <strong>the</strong> line: y = --tx + 5<br />

6. c<br />

Difficulty: Medium<br />

Strategic Advice: Divide <strong>the</strong> line into eighths, since<br />

<strong>the</strong> fractions in <strong>the</strong> question have 8 as <strong>the</strong>ir common<br />

denominator.<br />

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

p Q R s<br />

• • I• • I<br />

0 2<br />

-<br />

4 6<br />

- -<br />

8 8 8<br />

Tick mark to <strong>the</strong> left of R is + or l<br />

Tick mark to <strong>the</strong> right of S is t or l<br />

5<br />

s o, 8 · 1s b etween 84 an d 8 6 .<br />

So, point R is in between + and i·<br />

7. D<br />

Difficulty: Medium<br />

Strategic Advice: A variable with a negative exponent is<br />

equal to 1 divided by that variable with a positive exponent.<br />

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

m-1 n=2<br />

!2_ = 2<br />

m<br />

n=2m<br />

T<br />

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