ACCUPLACER PRACTICE TEST | 119 QUESTIONS AND
ANSWERS | 2026 UPDATE | WITH COMPLETE
SOLUTION
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 Answer - 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 Answer - 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 Answer - 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 Answer - 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 Answer - 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) Answer - 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 Answer - 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 Answer - 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 Answer - (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 Answer - (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
ANSWERS | 2026 UPDATE | WITH COMPLETE
SOLUTION
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 Answer - 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 Answer - 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 Answer - 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 Answer - 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 Answer - 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) Answer - 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 Answer - 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 Answer - 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 Answer - (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 Answer - (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
