VERIFIED ANSWERS 2025/2026
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 ANSWERS -E
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 ANSWERS -C
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 ANSWERS -A
,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 ANSWERS -E
If θ is an acute angle and sin θ = 1/2, then cos θ =
A. -1
B. 0
C. 1/2
D. √3/2
E. 2 - CORRECT ANSWERS -D
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 ANSWERS -B
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 - CORRECT ANSWERS -E
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 ANSWERS -D
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
C) by earning
D) as a means of earning - CORRECT ANSWERS -(B) The author was not obligated to sell his peen for the
political purposes of others BECAUSE HE HAD EARNED a sum of money by writing a best seller.
, In the modern world, groups of people living thousands of miles apart may still be dependent on each
other politically, culturally, and economically.
Change PEOPLE LIVING to PEOPLE MAY LIVE.
Your new sentence will include
A) apart and still be dependent
B) apart so as to be dependent still
C) apart, they are still dependent
D) apart, but would still be dependent - CORRECT ANSWERS -(A) In the modern world, groups of people
may live thousands of miles APART AND STILL BE DEPENDENT on each other politically, culturally, and
economically
JOSE WANTED TO STUDY HE TRIED TO KEEP his roommates quiet; but he did not succeed.
A) Jose wanted to study he tried to keep
B) Jose wanted to study, he tried to keep
C) Because he wanted to study, Jose tried to keep
D) Jose wanting to study, and trying to keep - CORRECT ANSWERS -(C) BECAUSE HE WANTED TO STUDY,
JOSE TRIED TO KEEP his roommates quiet; but he did not succeed.
PREDICTIONS TWENTY YEARS AGO that the phonograph record was about to become obsolete have
proven to be true.
A) Predictions twenty years ago that