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

12 Practice Tests for the SAT
Practice Test Eleven Answers and Explanations I
985
10. D
Difficulty: Medium
Strategic Advice: This problem asks about the properties of
negative numbers. If you forget any of the number properties,
Picking Numbers can help you rule out incorrect answers.
Getting to the Answer:
I. a - b < c is not necessarily true. For instance,
if a, b, and c were -3, -2, and -1, then this
inequality would be -3 - (-2) = -1 < -1.
Since a number cannot be less than itself, statement I is not
true. Eliminate (A), (C), and (E).
11. A
II. a< c, so --a> -c. When you multiply or divide
by a negative number, switch the inequality.
Eliminate (B). The answer must be (D), but for
the sake of practice, go on to consider the third
statement.
Ill. a < c, so a + b < b + c.
Difficulty Medium
Strategic Advice: To solve this question, you must translate
English into math and understand percents. Each of the
percentages given in the first sentence of this problem is
a percent of Jo's monthly income, which you might call
J when setting up your equation. Since Jo gives half her
remaining income to charity and saves the rest, the amount
of income that remains after she has spent everything listed
in the first sentence is twice the amount she saves.
Getting to the Answer:
0.25 ) + 0.3 ) + 0. 1 ) + 0.2 ) + 150 =)
12. c
Difficulty: Medium
0.85 ) + 1 50 =)
150 = 0.15)
1,000 =)
Strategic Advice: This problem tests your ability to read
carefully more than your ability to do math. Be sure to pay
attention to which variables are subtracted from which, and
don't be fooled by answers that look similar to the correct
answer. You may find it helpful to write out your answer
before looking at the answer choices so that plausible but
incorrect answers will not distract you.
Getting to the Answer:
Vr+s - q2 = (t + r)2
13. E
Difficulty: Medium
Strategic Advice: Don't do more work than you have to!
Remember that the slope of a line represents the change in
the value of the y-coordinate over the change in the value
of the x-coordinate. If the slope of the line is 1, that means
that for every unit of change in y, there is a corresponding
unit of change in x.
Getting to the Answer:
From the point (1, 2), you can move one unit up and one
unit to the right (that is, along a slope of 1) to reach the
point (2, 3). No other choice satisfies this condition.
14. B
Difficulty: Medium
Strategic Advice: Don't worry when you see an odd symbol
like the one in this problem: the operation defined by the
symbol will always be given in the problem. All you need to
do is plug the given numbers into the given equation and
solve it carefully. Be sure to work all parts of the problem in
the correct order.
Getting to the Answer:
(3 ... 2) = 32 - 2 = 9 - 2 = 7
4 ... (3 ... 2) = 4 ... 7 = 42 - 7 = 16 - 7 = 9
15. c
Difficulty: Medium
Strategic Advice: A prime number is a number whose
only distinct factors are itself and 1. (The number 1 itself
is not prime.) If you get stuck on a problem like this, Pick
Numbers.
Getting to the Answer:
The number qr will have q and r as factors, so it cannot be
prime. All other answer choices can be prime if q and r are
prime numbers.
16. A
Difficulty: Medium
Strategic Advice: This question hinges on the triangle
inequality theorem: the length of each side of a triangle must
be greater than the difference between the other two sides
and less than the sum of the other two sides. Therefore, the
third side of this triangle must be greater than the difference
between, and less than the sum of, 9 and 1 5.