ACCUPLACER PRACTICE TEST PAPER 2026
COMPLETE QUESTIONS AND ANSWERS
GRADED A+
⫸ 20. If f(x) = (1/3)(power of x) and a < b, which of the following must
be true?A. f (a) + f (b) = 3B. f (a) + 1 = f (b) 3C. f (a) = f (b)D. f (a) < f
(b)E. f (a) > f (b) Answer: E
⫸ 19. From 5 employees at a company, a group of 3 employees willbe
chosen to work on a project. How many different groupsof 3 employees
can be chosen?A. 3B. 5C. 6D. 10E. 15 Answer: D
⫸ 18. The sequence {a(little n) } is defined by a(little o) = 1 and a(little
n+1) = 2a(little n) + 2 for n = 0, 1, 2, ... . What is the valueof a(little
3)?A. 8B. 10C. 16D. 20E. 22 Answer: E
⫸ 17. If f(x) = 3x - 1/2 and f(power of -1) is the inverse of f, what is the
value of f(power of -1)(3)?A. 1/3B. 2/3C. 1D. 2E. 7/3 Answer: E
⫸ 16. 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. 8B. 12C. 16D. 20E. 24 Answer: E
⫸ 13. A root of x(power of 2) - 5x - 1 = 0 isA. 1−(square root of 29)/2B.
5-(square root of 17)/2C. 1+(Square root of 29)/2D. 5+(Square root of
17)/2E. 5+(Square root of 29)/2 Answer: E
, ⫸ 12. For what real numbers x is the value of x(power of 2)- 6x + 9
negative?A. -3 < x < 3B. x < -3 or x > 3C. x = -3 or x = 3D. 0 < x < 6E.
For no real numbers x Answer: E
⫸ 11. 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
⫸ 10. If θ is an acute angle and sin θ = 1/2 , then cos θ =A. -1B. 0C.
1/2D. √3/2E. 2 Answer: D
⫸ 9. If f(x) = 2x + 1 and g(x) = x-1/2, then then f (g(x)) =A. xB. x-
1/4x+2C. 4x+2/x-1D. 5x+1/2E. (2x+1)(x-1)/2 Answer: A
⫸ 8. If log(little 10)x = 3, then x =A. 3(to the power of 10)B. 1,000C.
30D. 10/3E. 3/10 Answer: B
⫸ 6. 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. 3B. 4C. 5D.
6E. 7 Answer: E
⫸ 5. An equation of the line that contains the origin and the point (1, 2)
isA. y = 2xB. 2y = xC. y = x - 1D. y = 2x + 1E. y/2 = x - 1 Answer: A
COMPLETE QUESTIONS AND ANSWERS
GRADED A+
⫸ 20. If f(x) = (1/3)(power of x) and a < b, which of the following must
be true?A. f (a) + f (b) = 3B. f (a) + 1 = f (b) 3C. f (a) = f (b)D. f (a) < f
(b)E. f (a) > f (b) Answer: E
⫸ 19. From 5 employees at a company, a group of 3 employees willbe
chosen to work on a project. How many different groupsof 3 employees
can be chosen?A. 3B. 5C. 6D. 10E. 15 Answer: D
⫸ 18. The sequence {a(little n) } is defined by a(little o) = 1 and a(little
n+1) = 2a(little n) + 2 for n = 0, 1, 2, ... . What is the valueof a(little
3)?A. 8B. 10C. 16D. 20E. 22 Answer: E
⫸ 17. If f(x) = 3x - 1/2 and f(power of -1) is the inverse of f, what is the
value of f(power of -1)(3)?A. 1/3B. 2/3C. 1D. 2E. 7/3 Answer: E
⫸ 16. 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. 8B. 12C. 16D. 20E. 24 Answer: E
⫸ 13. A root of x(power of 2) - 5x - 1 = 0 isA. 1−(square root of 29)/2B.
5-(square root of 17)/2C. 1+(Square root of 29)/2D. 5+(Square root of
17)/2E. 5+(Square root of 29)/2 Answer: E
, ⫸ 12. For what real numbers x is the value of x(power of 2)- 6x + 9
negative?A. -3 < x < 3B. x < -3 or x > 3C. x = -3 or x = 3D. 0 < x < 6E.
For no real numbers x Answer: E
⫸ 11. 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
⫸ 10. If θ is an acute angle and sin θ = 1/2 , then cos θ =A. -1B. 0C.
1/2D. √3/2E. 2 Answer: D
⫸ 9. If f(x) = 2x + 1 and g(x) = x-1/2, then then f (g(x)) =A. xB. x-
1/4x+2C. 4x+2/x-1D. 5x+1/2E. (2x+1)(x-1)/2 Answer: A
⫸ 8. If log(little 10)x = 3, then x =A. 3(to the power of 10)B. 1,000C.
30D. 10/3E. 3/10 Answer: B
⫸ 6. 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. 3B. 4C. 5D.
6E. 7 Answer: E
⫸ 5. An equation of the line that contains the origin and the point (1, 2)
isA. y = 2xB. 2y = xC. y = x - 1D. y = 2x + 1E. y/2 = x - 1 Answer: A
