12.Practice.Tests.for.the.SAT_2015-2016_1128p

12 Practice Tests for the SAT
Practice Test Nine Answers and Explanations 81 3
I
Getting to the Answer:
Since -€ 4 is perpendicular to -€ 2
, all the angles that are
formed where those two lines cross are right angles.
And, since .e 1 is parallel to -€ 2
, the angles that are formed
where -€ 4 and .e 1 meet are also right angles. That means
that .e 1 and .e 4 must also be perpendicular to each other,
which means that statement I is true. That means you can
eliminate (B) and (E).
-€ 3 also crosses the two parallel lines and together with
-€ 4 creates a triangle between them. Since all the angles
formed where -€ 2
and -€ 4 meet are right angles, the triangle
is a right triangle. One of the other angles of the triangle
measures G0, but what about the third angle of the triangle?
Well, that angle is formed by the same lines that form the
angle labeled b0, so that angle inside the triangle must
also measure b0• Since the three angles inside the triangle
measure G0 , b0, and go0, and the sum of the angles in a
triangle is always 1 80°, G + b + go = 1 80, which means
that G + b = go, statement Ill is true. Now you can eliminate
(A) and (C), and since (D) is the only one left, it must be
correct.
Notice that you didn't even have to deal with statement II once
you figured out that statements I and Ill were true. This often
happens in Roman numeral questions. Just for the record,
though, statement II is not necessarily true. You know that
G + b = go, so if G = b, then G and b are each 45. However,
although that's how G and b look in the figure, there's no
information there that would indicate that b could just as easily
be a 46°, a 43°, or a 50° angle, so statement II is false.
10. B
Difficulty: Medium
Strategic Advice: Take this question one step at a time.
Getting to the Answer:
A bicyclist riding at 12 miles an hour for 2 hours travels
twice as far as a hiker. How far does the bicyclist travel?
That's easy, 12 miles an hour for 2 hours is just 12 x 2 or
24 miles. If the bicyclist travels twice as far as the hiker, and
the bicyclist travels 24 miles, the hiker must travel 12 miles,
since 24 is twice 12. The hiker walks at 4 miles an hour for
a total of 12 miles. Since 4 x 3 = 12, the hiker must walk
for 3 hours at 4 miles an hour to go a total of 12 miles, so
the correct answer choice is (B).
11. D
Difficulty: Medium
Strategic Advice: Remember, solving inequalities is the same
as solving equations with one exception-if you multiply or
divide by a negative number, you have to change the direction
of the inequality sign. You can solve this one pretty easily.
Getting to the Answer:
Start by adding 2b to each side, and then divide by 2:
2G -2b