Sat Math Hard Practice Quiz Worksheet With Answer Key Page 3

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SAT Math Hard Practice Quiz
4. Let m and n be positive integers such that one-third of
Algebra and Functions
m is n less than one-half of m. Which of the following is
a possible value of m ?
1. Let m be an even integer. How many possible values of
m satisfy
m + 7 ≤ 3 ?
(A) 15
(B)
21
(A) One
(C) 24
(B)
Two
(D) 26
(C) Three
(E)
28
(D) Four
(E)
Five
5. If a and b are numbers such that (a
4)(b + 6) = 0, then
2
2
what is the smallest possible value of a
+ b
?
x + 3
2. Let x be defined by x =
for any x such that
x
1
x = 1. Which of the following is equivalent to x
1 ?
x + 2
(A)
x
1
2
4
6. Let f (x) = ax
and g(x) = bx
for any value of x. If a
4
(B)
and b are positive constants, for how many values of x is
x
1
f (x) = g(x) ?
2x + 4
(C)
x
1
(A) None
2
(D)
(B)
One
x
1
(C) Two
x + 2
(D) Three
(E)
x
2
(E)
Four
3
2
3. Let a and b be numbers such that a
= b
. Which of the
7. Let a and b be numbers such that 30 < a < 40 and 50 <
following is equivalent to b
a ?
b < 70. Which of the following represents all possible
values of a
b ?
2/3
(A) b
(A)
40 < a
b <
20
4/3
(B)
b
(B)
40 < a
b <
10
(C)
30 < a
b <
20
(D)
20 < a
b <
10
2
(C) b
(E)
20 < a
b <
30
3
(D) b
4
(E)
b
pg. 3

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