SAT Math Hard Practice Quiz
x
3
+
y
12
=
z
8.
In the equation shown above,
x
,
y
, and
z
are positive
integers. All of the following could be a possible value of
y
EXCEPT
(A)
4
(B)
6
(C)
8
(D)
12
(E)
20
√
72 +
√
72 =
m
√
n
9.
In the equation above,
m
and
n
are integers such that
m > n
. Which of the following is the value of
m
?
(A)
6
(B)
12
(C)
16
(D)
24
(E)
48
t
0
1
2
N
(
t
)
128
16
2
10.
The table above shows some values for the function
N
.
If
N
(
t
) =
k
·
2
−
at
for positive constants
k
and
a
, what is
the value of
a
?
(A)
−
3
(B)
−
2
(C)
1
3
(D)
2
(E)
3
11.
Amy is two years older than Bill. The square of Amy’s
age in years is 36 greater than the square of Bill’s age in
years. What is the sum of Amy’s age and Bill’s age in
years?
1
y
1
x
y
=
f
(
x
)
12.
The function
f
is graphed in its entirety above. If the
function
g
is defined so that
g
(
x
) =
f
(
−
x
), then for what
value of
x
does
g
attain its maximum value?
(A)
−
3
(B)
−
2
(C)
0
(D)
2
(E)
3
13.
If (
x
+ 1)
2
= 4 and (
x
−
1)
2
= 16, what is the value of
x
?
(A)
−
3
(B)
−
1
(C)
1
(D)
3
(E)
5
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