Which of the following is the equation for a circle with diameter 
, given that a = (4, 2) and b = (8, -4)?
(A)x2 + y2 = 13
(B) x2 + y2 = 26
(C) (x - 6)2 + (y + 1)2 = 13
(D) (x + 6)2 + (y - 1)2 = 13
(E) (x - 6)2 + (y + 1)2 = 26
If xy = 144, x + y = 30, and x > y, what is the value of x – y ?
(A)4 (B)6 (C)18 (D)22 (E)24
Correct Answer: C
If 
a5 for a ≠ 0, which of the following statements must be true?
(F) x ≠ 0 and y ≠ 0
(G) x + y = 5
(H) x - y = 5
(J) xy = 5
(K) 
= 5
Correct Answer: H
The second term of an arithmetic sequence is -2, and the third term is 8. What is the first term?
(Note: An arithmetic sequence has a common difference between consecutive terms.)
（A）-12
（B） -10
（C） 
（D） 3
（E） 10
Correct Answer: A
More ACT Math Exam Questions
- 1Which of the following is the solution set for x such that 3x - 9 ≥ - 3(9 - x)?
- 2
In early November in Winnipeg, Manitoba, the temperatures for each of nine consecutive days were -9°C, 3°C, -7°C, 2°C, 5°C, 1°C, 0°C, -8°C, and -7°C. What was the median of the temperatures for these nine days in early November?
- 3
Two hoses attached to separate water sources are available to fill a cylindrical swimming pool. If both hoses are used, the time it will take to fill the pool can be represented by the following equation:
, where T1 and T2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and Tc
represents the time needed for hoses 1 and 2 to fill the pool working
together. If hose 1 alone can fill the pool in exactly 20 minutes and
hose 2 alone can fill the pool in exactly 60 minutes, how many minutes
will it take to fill the pool if both hoses work simultaneously? - 4In the figure shown below, points A, B, C, and D are collinear, and distances marked are in feet. Rectangle ADEG has an area of 48 square feet. What is the area, in square feet, of the trapezoid BCEF?
- 5
Given parallel lines l and m, which of the following choices lists a pair of angles that must be congruent?
