Question 1
If a ≠ b and 1/x + 1/a = 1/b, then x =
A. 1/b - 1/a
B. b - a
C. 1/ab
D. a - b/ab
E. ab/a - b
CORRECT ANSWER
E
Question 2
The graph of which of the following equations is a straight line parallel to the graph of y =
2x ?
A. 4x - y = 4
B. 2x - 2y = 2
C. 2x - y = 4
D. 2x + y = 2
E. x - 2y = 4
CORRECT ANSWER
C
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,Question 3
An equation of the line that contains the origin and the point (1, 2) is
A. y = 2x
B. 2y = x
C. y = x -1
D. y = 2x +1
E. y/2 = x - 1
CORRECT ANSWER
A
Question 4
An apartment building contains 12 units consisting of one- and two-bedroom apartments
that rent for $360 and $450 per month, respectively. When all units are rented, the total
monthly rental is $4,950. What is the number of two-bedroom apartments?
A. 3
B. 4
C. 5
D. 6
E. 7
CORRECT ANSWER
E
Question 5
If θ is an acute angle and sin θ = 1/2, then cos θ =
A. -1
2
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,B. 0
C. 1/2
D. √3/2
E. 2
CORRECT ANSWER
D
Question 6
5y(2y - 3) + (2y - 3) =
A. (5y + 1) (2y + 3)
B. (5y + 1) (2y - 3)
C. (5y - 1) (2y + 3)
D. (5y -1) (2y - 3)
E. 10y (2y - 3)
CORRECT ANSWER
B
Question 7
One ordering of the letters T, U, V and W from left to right is UTVW. What is the total
number of orderings of these letters from left to right, including UTVW?
A. 8
B. 12
C. 16
D. 20
E. 24
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, CORRECT ANSWER
E
Question 8
From 5 employees at a company, a group of 3 employees will be chosen to work on a
project. How many different groups of 3 employees can be chosen?
A. 3
B. 5
C. 6
D. 10
E. 15
CORRECT ANSWER
D
Question 9
Writing a best seller had earned the author a sum of money and had freed him from the
necessity of selling his pen for the political purposes of others.
Rewrite, beginning with
"The author was not obliged..."
The new sentence will include
A) consequently he earned
B) because he had earned
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@THE STUDY VAULT
If a ≠ b and 1/x + 1/a = 1/b, then x =
A. 1/b - 1/a
B. b - a
C. 1/ab
D. a - b/ab
E. ab/a - b
CORRECT ANSWER
E
Question 2
The graph of which of the following equations is a straight line parallel to the graph of y =
2x ?
A. 4x - y = 4
B. 2x - 2y = 2
C. 2x - y = 4
D. 2x + y = 2
E. x - 2y = 4
CORRECT ANSWER
C
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@THE STUDY VAULT
,Question 3
An equation of the line that contains the origin and the point (1, 2) is
A. y = 2x
B. 2y = x
C. y = x -1
D. y = 2x +1
E. y/2 = x - 1
CORRECT ANSWER
A
Question 4
An apartment building contains 12 units consisting of one- and two-bedroom apartments
that rent for $360 and $450 per month, respectively. When all units are rented, the total
monthly rental is $4,950. What is the number of two-bedroom apartments?
A. 3
B. 4
C. 5
D. 6
E. 7
CORRECT ANSWER
E
Question 5
If θ is an acute angle and sin θ = 1/2, then cos θ =
A. -1
2
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,B. 0
C. 1/2
D. √3/2
E. 2
CORRECT ANSWER
D
Question 6
5y(2y - 3) + (2y - 3) =
A. (5y + 1) (2y + 3)
B. (5y + 1) (2y - 3)
C. (5y - 1) (2y + 3)
D. (5y -1) (2y - 3)
E. 10y (2y - 3)
CORRECT ANSWER
B
Question 7
One ordering of the letters T, U, V and W from left to right is UTVW. What is the total
number of orderings of these letters from left to right, including UTVW?
A. 8
B. 12
C. 16
D. 20
E. 24
3
@THE STUDY VAULT
, CORRECT ANSWER
E
Question 8
From 5 employees at a company, a group of 3 employees will be chosen to work on a
project. How many different groups of 3 employees can be chosen?
A. 3
B. 5
C. 6
D. 10
E. 15
CORRECT ANSWER
D
Question 9
Writing a best seller had earned the author a sum of money and had freed him from the
necessity of selling his pen for the political purposes of others.
Rewrite, beginning with
"The author was not obliged..."
The new sentence will include
A) consequently he earned
B) because he had earned
4
@THE STUDY VAULT
