Sat math Essentials

11
2 2 1

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L E A R N I N G E X P R E S S A N S W E R S H E E T
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2 2 3
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
S e c t i o n 1
1.
2.
3.
4.
5.
6.
7.
8.
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
S e c t i o n 2
1
2
3
4
5
6
7
8
9
•
1
2
3
4
5
6
7
8
9
0
•
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2
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7
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9
0
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8
9
0
•
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4
5
6
7
8
9
•
1
2
3
4
5
6
7
8
9
0
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2
3
4
5
6
7
8
9
0
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9
0
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9
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7
8
9
0
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9
0
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9
0
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0
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8
9
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8
9
0
•
9.
10.
11.
12.
13.
1
2
3
4
5
6
7
8
9
•
1
2
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5
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9
0
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5
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9
0
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8
9
0
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6
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9
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2
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5
6
7
8
9
0
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2
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5
6
7
8
9
0
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/
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2
3
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8
9
0
•
1
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4
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6
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8
9
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2
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6
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8
9
0
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1
2
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5
6
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8
9
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8
9
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2
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8
9
0
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/
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8
9
0
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/
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0
•
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6
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8
9
0
•
14.
15.
16.
17.
18.
1
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3
4
5
6
7
8
9
•
1
2
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5
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7
8
9
0
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1
2
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4
5
6
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9
0
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1
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0
•

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2 2 4
–
L E A R N I N G E X P R E S S A N S W E R S H E E T
–
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
a b c d e
S e c t i o n 3

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S e c t i o n 1
1.
Which of the following could be equal to 
4
x
x
?
a.
–
1
4
b.
0
4
c.
0.20
d.
1
4
2
e.
2
5
0
2.
There are seven vocalists, four guitarists, four drummers, and two bassists in Glen Oak’s music program,
while there are five vocalists, eight guitarists, two drummers, and three bassists in Belmont’s music pro-
gram. If a band comprises one vocalist, one guitarist, one drummer, and one bassist, how many more
bands can be formed in Belmont?
a.
4 
b.
10
c.
16
d.
18
e.
26
3.
Which of the following is the equation of a parabola whose vertex is at (5,–4)?
a.
y
= (
x
– 5)
2
– 4
b.
y
= (
x
+ 5)
2
– 4
c.
y
= (
x
– 5)
2
+ 4
d.
y
= (
x
+ 5)
2
+ 4
e.
y
= 
x
2
– 29
4.
If
b
3
= –64, then 
b
2
– 3
b
– 4 =
a.
–6.
b.
–4.
c.
0.
d.
24.
e.
28.
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P R A C T I C E T E S T 3
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2 2 5

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5.
The scatter plot above shows how many eggs were found in a hunt over time. Which of the labeled points
represents a number of eggs found that is greater than the number of minutes that has elapsed?
a.
A
b.
B
c.
C
d.
D
e.
E
6.
The point (6, –3) could be the midpoint of which of the following lines?
a.
a line with endpoints at (0,–1) and (12,–2)
b.
a line with endpoints at (2,–3) and (6,1)
c.
a line with endpoints at (6,0) and (6,–6)
d.
a line with endpoints at (–6,3) and (–6,–3)
e.
a line with endpoints at (3,3) and (12,–6)
7.
A sack contains red, blue, and yellow marbles. The ratio of red marbles to blue marbles to yellow marbles is
3:4:8. If there are 24 yellow marbles in the sack, how many total marbles are in the sack?
a.
45
b.
48
c.
72
d.
96
e.
144
8.
What two values are not in the domain of
y
= 
x
2
x
–
2
9
–
x
3
–
6
36
?
a.
–3, 12
b.
3, –12
c.
–6, 6
d.
–6, 36
e.
9, 36
Egg
s
 Found in a Hunt Over Time
Number
 of Egg
s
 Found
Time (minute
s
)
A
B
C
D
E
–
P R A C T I C E T E S T 3
–
2 2 6

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9.
The diagonal of one face of a cube measures 4
2
in. What is the volume of the cube?
a.
24
2
in
3
b.
64 in
3
c.
96 in
3
d.
128
2
in
3
e.
192 in
3
10.
A line has a 
y
-intercept of –6 and an 
x
-intercept of 9. Which of the following is a point on the line?
a.
(–6,–10)
b.
(1,3)
c.
(0,9)
d.
(3,–8) 
e.
(6,13)
11.
If
m
< 
n
< 0, then all of the following are true EXCEPT
a.
–
m
< –
n
.
b.
mn
> 0.
c.
|
m
| + 
n
> 0.
d.
|
n
| < |
m
|.
e.
m
– 
n
< 0.
12.
The area of a circle is equal to four times its circumference. What is the circumference of the circle?
a.
π
units
b.
16
π
units
c.
48
π
units
d.
64
π
units
e.
cannot be determined
13.
If the statement “All students take the bus to school” is true, then which of the following must be true?
a.
If Courtney does not take the bus to school, then she is not a student.
b.
If Courtney takes the bus to school, then she is a student.
c.
If Courtney is not a student, then she does not take the bus.
d.
all of the above
e.
none of the above
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P R A C T I C E T E S T 3
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2 2 7

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14.
In the diagram above, line 
AB
is parallel to line 
CD
, both lines are tangents to circle 
O
and the diameter of
circle 
O
is equal in measure to the length of line 
OH
. If the diameter of circle 
O
is 24 in, what is the meas-
ure of angle 
BGH
?
a.
30 degrees
b.
45 degrees
c.
60 degrees
d.
75 degrees
e.
cannot be determined
15.
In the diagram above, if line 
AB
is parallel to line 
CD
, and line 
EF
is perpendicular to lines 
AB
and 
CD
, all
of the following are true EXCEPT
a.
e
= 
a
+ 
b
+ 90.
b.
a
+ 
h
+ 
f
= 
b
+ 
g
+ 
d
.
c.
a
+ 
h
= 
g
.
d.
a
+ 
b
+ 
d
= 90.
e.
c
+ 
b
= 
g
.
A
B
C
D
a
b
c
h
f
g
d
e
E
F
A
B
C
D
E
F
G
H
O
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P R A C T I C E T E S T 3
–
2 2 8

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16.
If the lengths of the edges of a cube are decreased by 20%, the surface area of the cube will decrease by
a.
20%.
b.
36%.
c.
40%.
d.
51%.
e.
120%.
17.
Simon plays a video game four times. His game scores are 18 points, 27 points, 12 points, and 15 points.
How many points must Simon score in his fifth game in order for the mean, median, and mode of the five
games to equal each other?
a.
12 points
b.
15 points
c.
18 points
d.
21 points
e.
27 points
18.
If
g
2
5
= 16, then 
g
(–
1
5
) =
a.
1
4
.
b.
1
8
.
c.
1
5
6
.
d.
4.
e.
8.
19.
In the diagram above, triangle 
ABC
is a right triangle and the diameter of circle 
O
is 
2
3
the length of
AB
.
Which of the following is equal to the shaded area?
a.
20
π
square units
b.
24 – 4
π
square units
c.
24 – 16
π
square units
d.
48 – 4
π
square units
e.
48 – 16
π
square units
A
B
C
O
10
8
–