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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 Three Answers and Explanations 289<br />

I<br />

2. c<br />

Difficulty: Low<br />

Strategic Advice: For <strong>the</strong> given equation to equal 0, ei<strong>the</strong>r<br />

(x - 2) or (x + 5) equals 0.<br />

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

or<br />

x-2=0<br />

X=2<br />

x+5=0<br />

X=-5<br />

Choice (C) is correct.<br />

3. c<br />

Difficulty: Low<br />

Strategic Advice: Solve each inequality <strong>for</strong> a and <strong>the</strong>n<br />

eliminate wrong answer choices.<br />

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

a+2>5<br />

a>3<br />

and<br />

a-43<br />

Only (C) applies.<br />

4. B<br />

Difficulty: Medium<br />

Strategic Advice: A number is divisible by 3 if its digits<br />

sum to a multiple of 3. Go through <strong>the</strong> answer choices<br />

and add <strong>the</strong> four digits.<br />

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

7+X+7+X<br />

(A) X=4<br />

= 14 + 2X<br />

14 + 2(4) = 22<br />

This is not divisible by 3.<br />

(B) X= 5<br />

14 + 2(5) =24<br />

24 =8<br />

3<br />

This is divisible by 3. Choice (B) is correct.<br />

(C) X= 6<br />

14 + 2(6) = 26<br />

This is not divisible by 3.<br />

(D) X=7<br />

14 + 2(7) = 28<br />

This is not divisible by 3.<br />

(E) X= 9<br />

14 + 2(9) = 32<br />

This is not divisible by 3.<br />

5. D<br />

Difficulty: Medium<br />

Strategic Advice: The perimeter is <strong>the</strong> sum of <strong>the</strong> lengths<br />

of <strong>the</strong> sides, and a polygon is a closed figure whose sides<br />

are straight-line segments (e.g., a triangle, rectangle,<br />

octagon, etc.). A regular polygon is one in which all sides are<br />

congruent.<br />

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

If <strong>the</strong> perimeter is 2 1, <strong>the</strong>n <strong>the</strong> length of one side must be<br />

a factor of 21 .<br />

Only (0) is a factor of 3. The polygon must have 7 sides,<br />

each with <strong>the</strong> length of 3.<br />

6. B<br />

Difficulty: Medium<br />

Strategic Advice: A percent is <strong>the</strong> ratio of p: with 100<br />

w 0 e<br />

in <strong>the</strong> denominator.<br />

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

-<br />

$600<br />

whole - $2,000<br />

7. B<br />

3<br />

10<br />

=30%<br />

Difficulty: Medium<br />

Strategic Advice: An easy way to solve this problem is to<br />

pick numbers <strong>for</strong> a and b and <strong>the</strong>n test <strong>the</strong> answer choices.

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