ACCUPLACER Placement Test 2026/2027 – The Ultimate Question Bank (300+ Q&A)

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ACCUPLACER PLACEMENT TEST EXAM 2026/2027 BANK
QUESTIONS WITH DETAILED VERIFIED ANSWERS EXAM
QUESTIONS WILL COME FROM HERE (100% CORRECT
ANSWERS A+ GRADED




QUESTION 1
If 3x + 7 = 16, what is the value of x?
A) 2
B) 3
C) 4
D) 5


Answer: B) 3
Explanation: Subtract 7 from both sides: 3x = 9. Divide by 3: x = 3.


QUESTION 2
Simplify: (2x^2 y^3)^4
A) 16x^6 y^7
B) 16x^8 y^12
C) 8x^6 y^7

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D) 8x^8 y^12


Answer: B) 16x^8 y^12
Explanation: Raise each factor to the 4th power: 2^4 = 16; (x^2)^4 =
x^8; (y^3)^4 = y^12.


QUESTION 3
A right triangle has legs of length 5 and 12. What is the length of the
hypotenuse?
A) 13
B) 14
C) 15
D) 17


Answer: A) 13
Explanation: Pythagorean theorem: sqrt(5^2 + 12^2) = sqrt(25+144) =
sqrt(169) = 13.


QUESTION 4
If f(x) = x^2 - 4x + 3, find f(2).
A) -1
B) 0
C) 1

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D) 3


Answer: A) -1
Explanation: Substitute x=2: 4 - 8 + 3 = -1.


QUESTION 5
Solve for y: 2y - 5 = 3y + 2
A) -7
B) -3
C) 3
D) 7


Answer: A) -7
Explanation: Subtract 2y: -5 = y + 2; subtract 2: y = -7.


QUESTION 6
The product of two consecutive integers is 56. What is the smaller
integer?
A) 6
B) 7
C) 8
D) 9

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Answer: B) 7
Explanation: Let n(n+1)=56 → n^2+n-56=0 → (n+8)(n-7)=0 → positive
n=7.


QUESTION 7
What is the slope of the line passing through (2,5) and (6,9)?
A) 1
B) 2
C) 3
D) 4


Answer: A) 1
Explanation: Slope = (9-5)/(6-2) = 4/4 = 1.


QUESTION 8
Simplify: sqrt(72)
A) 6√2
B) 8√3
C) 9√2
D) 12√3