ACCUPLACER EXAM STUDY GUIDE 2026 COMPREHENSIVE QUESTIONS AND SOLUTIONS

ACCUPLACER EXAM STUDY GUIDE 2026
COMPREHENSIVE QUESTIONS AND
SOLUTIONS

◉ 1. If A represents the number of apples purchased at 15 cents
each, and B represents the number of bananas purchased at 10 cents
each, which of the following represents the total value of the
purchases in cents?
A. A + B
B. 25(A + B)
C. 10A + 15B
D. 15A + 10B
Answer: D


◉ 2. √2 × √15 = ?
A. √17
B. √30
C. 17
D. 30
Answer: B

,◉ 3. What is the value of the expression 2x(to the power of 2) + 3xy -
4y(to the power of 2) when
x = 2 and y = -4?
A. -80
B. -32
C. 32
D. 80
Answer: A


◉ 4. In the figure below, both circles have the same center, and the
radius of the larger circle is R. If the radius of the smaller circle is 3
units less than R, which of the following represents the area of the
shaded region?
A. πR(to the power of 2)
B. π(R - 3)(to the power of 2)
C. πR( to the power of 2) - π × 3(to the power of 2)
D. πR(to the power of 2) - π(R - 3)(to the power of 2)
Answer: D


◉ 5. (3x - 2y)(to the power of 2)=
A. 9x(to the power of 2) - 4y(to the power of 2)
B. 9x(to the power of 2) + 4y(to the power of 2)
C. 9x(to the power of 2) - 6xy + 4y(to the power of 2)

, D. 9x(to the power of 2) - 12xy + 4y(to the power of 2)
Answer: D


◉ 6. If x > 2, then x(to the power of 2) -x-6/x(to the power of the 2)-
4=
A. x-3/2
B. x-3/x-2
C. x-3/x+2
D. 3/2
Answer: B


◉ 7. 4-(-6)/-5=
A. -2
B. -2/5
C. 2/5
D. 2
Answer: A


◉ 8. If 2x - 3(x + 4) = -5, then x =
A. -17
B. -7
C. 7