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

12 Practice Tests for the SAT
Practice Test Ten Answers and Explanations 897
I
3. B
Difficulty: Medium
Strategic Advice: Questions with more than one figure
require you to transfer information from one figure to the
next. Analyze Figure 1 alone to solve for x. Then insert the
value of x into Figure 2.
Getting to the Answer:
Figure 1:
1 80° - 60° = 3x
Figure 2:
4. B
40° =X
4y =x
4y = 40°
y = 10°
Difficulty: Low
Strategic Advice: The phrase "varies directly" means
that this problem can be solved by setting up a ratio.
When dealing with a ratio question, be sure to compare
like quantities. For example, set up a proportion with the
number of pounds in the numerator of each fraction and
the number of inches in the denominator of each fraction.
That way you will solve for the correct values on Test Day.
Getting to the Answer:
50 - 75
-s--x
50x = 600
5. E
x= 12
Difficulty: Medium
Strategic Advice: Don't be intimidated when exponents are
fractions. Think about how you can make the equation true.
Work backward to solve for the missing variables.
Getting to the Answer:
Think about all of the possible values you could pick for x:
3
64 = 541 = 162 = 82 = 43 = 26, so x could equal 64, 16,
8, 4, or 2.
x = 64 is ruled out by the constraints on the problem.
If x = 16, y = 3, which is also ruled out by the constraints.
If x = 8, = 2, or y = 4 . This means x + y = 12.
If x = 4, y = 6, but this does not satisfy x > y.
If x = 2, y = 12, but this also does not satisfy the constraint.
Only one choice works, so (E), x + y = 12, is the answer.
6. c
Difficulty: Medium
Strategic Advice: Questions such as this will be your payoff
on Test Day for having absorbed certain facts during your
preparation-such as how to add terms with like exponents.
(This question is also a great one for Picking Numbers. The
easiest number to try is n = 2, which narrows the choices
down to (C) and (E). Choosing n = 4 gets you to (C) right
away.)
Getting to the Answer:
3-g- + 3-g- + 3-g- = 3(3-g-)
n
=31 x32
7. D
Difficulty: Medium
Strategic Advice: Many test takers are intimidated by
functions such as this one. The trick is to take your time and
fill in the variables as you can. In this case, start inside the
parentheses and find g(x) when x is 3. Then use this value
to solve for f(x) when x = g(3).
Getting to the Answer:
g(3) = V2(3)2 + 7
---
Vi8+7 = v25 = 5
f(5) = 3(5) - 8 = 15 - 8 = 7
8. A
Difficulty: Medium
Strategic Advice: On Test Day, be sure to analyze the
information in any number lines, graphs, or diagrams before
you begin. In this question, you can figure out the values
of the letters. You can then try each value in the inequality
described in the question.