2022 NEW EXAM ACCUPLACER PRACTICE TEST MATHS STUDY QUESTIONS AND
ANSWERS GRADED A EXAM 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 - ANS IS 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 - ANS IS 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 - ANS IS 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 - ANS IS 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 - ANS IS 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) - ANS IS 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 - ANS IS 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 - ANS IS 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 - ANS IS (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 - ANS IS (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 - ANS IS (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
B) Predictions twenty years ago,
C) Twenty years ago, predictions that
D) Predictions, twenty years ago - ANS IS (A) PREDICTIONS TWENTY YEARS AGO that the
phonograph record was about to become obsolete have proven to be true.
WHEN YOU MOVE OUT OF AN APARTMENT BEFORE THE CONTRACT EXPIRES, THIS is an
example
of breaking a lease.
A) When you move out of an apartment before the contract expires, this
B) You move out of an apartment before the contract expires, this
C) Moving out of an apartment before the contract expires
D) The fact that you move out of an apartment before the contract expires - ANS IS (C) Moving
out of an apartment before the contract expires is an example of breaking a lease
KNOCKED TO HIS KNEES, THE QUARTERBACK LOOKED as if he were in pain.
A) Knocked to his knees, the quarterback looked
B) The quarterback was knocked to his knees, looked
C) The quarterback looked knocked to his knees
D) The quarterback, looking knocked to his knees, - ANS IS (A) KNOCKED TO HIS KNEES, THE
QUARTERBACK LOOKED as if he were in pain
YESTERDAY THE PRESIDENT ANNOUNCED THAT HE WOULD RETIRE FROM POLITICAL LIFE, TO
AMAZED REPORTERS
ANSWERS GRADED A EXAM 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 - ANS IS 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 - ANS IS 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 - ANS IS 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 - ANS IS 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 - ANS IS 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) - ANS IS 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 - ANS IS 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 - ANS IS 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 - ANS IS (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 - ANS IS (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 - ANS IS (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
B) Predictions twenty years ago,
C) Twenty years ago, predictions that
D) Predictions, twenty years ago - ANS IS (A) PREDICTIONS TWENTY YEARS AGO that the
phonograph record was about to become obsolete have proven to be true.
WHEN YOU MOVE OUT OF AN APARTMENT BEFORE THE CONTRACT EXPIRES, THIS is an
example
of breaking a lease.
A) When you move out of an apartment before the contract expires, this
B) You move out of an apartment before the contract expires, this
C) Moving out of an apartment before the contract expires
D) The fact that you move out of an apartment before the contract expires - ANS IS (C) Moving
out of an apartment before the contract expires is an example of breaking a lease
KNOCKED TO HIS KNEES, THE QUARTERBACK LOOKED as if he were in pain.
A) Knocked to his knees, the quarterback looked
B) The quarterback was knocked to his knees, looked
C) The quarterback looked knocked to his knees
D) The quarterback, looking knocked to his knees, - ANS IS (A) KNOCKED TO HIS KNEES, THE
QUARTERBACK LOOKED as if he were in pain
YESTERDAY THE PRESIDENT ANNOUNCED THAT HE WOULD RETIRE FROM POLITICAL LIFE, TO
AMAZED REPORTERS
