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

12 Practice Tests for t h e SAT
382 Practice Test Four Answers and Explanations
8. B
Difficulty: Hig h
Strategic Advice: How muc h profit does t h e store make on
eac h carton? T h en h ow l ong wi ll it take t h e store to make
$2,000?
Getting to the Answer:
T h e store makes i k - k = f do ll ars on eac h carton.
So it wi ll h ave to se ll t h e fo ll owing:
$2,000 = $2,000 x 2_
k 1 k = $6,000 k cartons
3
9. 4
Difficulty: Medium
Strategic Advice: P l ug t h e second equation into t h e first
and simp l ify.
Getting to the Answer:
4c + 3(c + 3) = 37
4c+ 3c+ 9=37
7c+ 9 = 37
7c=28
c=4
10. 625
Difficulty: Low
Strategic Advice: T h is a straig h tforward percentage
probl em. Co ll ect t h e quic k points and move on!
Getting to the Answer:
In February t h ey spent 250/o of $500 = $125 more.
T h us, t h eir February bi ll was $500 + $125 = $625.
11. 3,456, or 5,400, or 9,600
Difficulty: Medium
Strategic Advice: If two triang l es h ave t h e same ang l es,
t h ey are simi l ar, so t h eir sides wi ll be in t h e same ratio.
LiJKL is just MBC sca l ed up (mu l tip l ied) by a certain
number. Using 3:4:5 triang l es, t h e h ypotenuse of MBC must
be 10.
Getting to the Answer:
We h ave t h ree cases for w h ic h side of MBC corresponds to
t h e side of LiJKL t h at's l engt h 120:
A
6
8 c
8
J
120
K
J
90
K
J
72
160
120
120
K
L
96
In t h e f irst case, t h e triang l e is sca l ed up b y a f actor o f 20, in
t h e second case by a factor of 15, and in t h e t h ird case by a
factor of 1 2. Using t h e formu l a for t h e area of a triang l e, t h e
areas are 9,600, 5,400, and 3,456, respective l y.
12. 100
Difficulty: Medium
Strategic Advice: Remem b er t h at median means "middl e
number." In a set of even l y spaced numbers, t h e median is
equa l to t h e average.
Getting to the Answer:
x + (x + l) + (x + 2) + (x + 3) + (x + 4) = 500
5x+ 10= 500
5x=490
X=98
L
L