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

12 Practice Tests for the SAT
Practice Test Four Answers and Explanations I
371
Getting to the Answer:
Lowest total is if each has 24 students: 24(9) = 216
Highest total is if each has 30: 30(9) = 270
Only (D) is between 216 and 270.
3. A
Difficulty: Low
Strategic Advice: "Directly north" means the two lines in
the figure make a right angle. Since the shortest distance
between two points is a straight line, try drawing in the lines
from her house to the different places in her neighborhood.
How could you compare the distances without computing
them?
Getting to the Answer:
Jane's House
5. c
Difficulty: Medium
Strategic Advice: Remember that you can't always solve
for all the variables. Concentrate on setting up the average
equations and solving for z.
Getting to the Answer:
Write the two equations for the averages, then plug in the
expression for x + y from the first one into the second one:
7
2
-
x+y= 14
x+y +z =lO
3
x+ y+z= 30
' I mile
/
I
/ "
_,, I ' ...._
/ ' "
' El
1 .5 miles 2 miles
Hotel Drugstore Town Square
'
'
'
'
'
Police
I mil '
Library
(x + y) +z= 30
(14) +z=30
Z= 16
Each line to each place in the neighborhood forms a
right triangle on the map. You can find the length of each
hypotenuse, which is the distance from her house, by
using the Pythagorean theorem, but that would eat away at
valuable time. The longer the legs, the longer the distance.
The short leg is always 0.5 miles, so you just need to find
the place the farthest distance (west or east) from the Town
Square; this is the Library, which is 3 miles away.
4. c
Difficulty: Low
Strategic Advice: In what year did the number of factories
increase by 2?
Getting to the Answer:
From the end of 1 998 to the end of 1 999, the number of
factories increased from 3 to 5. This is the only time the
graph jumps by 2, so those 2 factories must have been
opened in February of 1999.
6. E
Difficulty: Low
Strategic Advice: Find the area of the big square and the
area of the small square, then subtract.
Getting to the Answer:
Area of big square = x x x =x2
Area of small square = 3 x 3 = 9
Area of shaded region =x2 - 9
7. A
Difficulty: Low
Strategic Advice: If a product is 0, then one of its factors is
0. The inverse is also true: if a product is not 0, then none
of its factors can be O.
Getting to the Answer:
Since abce = 0, this means either a = 0, b = 0, c = 0, or e= 0.
Since abed = 3, this means that a * 0, b * 0, c * 0, and d * 0.
By process of elimination, this means that e = O.