In the standard (x,y) coordinate plane, what is the area of the circle (x - 3)2 + (y + 2)2 = 25?
(F) 5π
(G) 10π
(H) 25π
(J) 125π
(K) 225π
In the figure below, square ABCD has a side length of 6 inches, and squares AEFG and CHIJ each have a side length of 1 inch. What is the area, in square inches, of the shaded pentagon DGFIJ?
（A）9 （B） 12.5 （C） 17 （D） 18 （E） 20.5
Correct Answer: C
If x = 3T + 4 and y = 5 - T, then which of the following equations expresses y in terms of x?
（A）y = 
（B） y = 
（C） y = 9 - x
（D） y = x + 9
（E） y = x - 1
Correct Answer: A
If x and y are integers such that y > 12 and 2x + y = 19, which of the following is the solution set for x?
（A）x ≥ 4 （B） x ≥ 3 （C） x ≤ 4 （D） x ≤ 3 （E） x ≤ 0
Correct Answer: D
More ACT Math Exam Questions
- 1
A ferry boat travels from a dock on the mainland toward an island, stops to discharge and load passengers, then returns to the mainland dock. Among the following graphs, which one best represents the relationship between the distance, in kilometers, of the ferry from the island and the time, in minutes, from when the ferry leaves the mainland dock until it returns?
- 2Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?
- 3
Consider the exponential equation y =
, where K and p are positive real constants and x is a positive real number. The value of y decreases as the value of x increases if and only if which of the following statements about p is true? - 4
A bag contains 7 black socks, 12 white socks, and 17 red socks. If you pick one sock at random from the bag, what is the probability that it will NOT be white?
- 5
Which of the following is equivalent to (x4 - 4)(x4 + 4)?