In the standard (x, y) coordinate plane, the center of a circle lies in quadrant III. If the circle is tangent to the x-axis and the y-axis, which of the following is an equation for the circle?
(A)(x + 4)2 + (y + 4)2 = 4
(B) (x - 4)2 + (y - 4)2 = 4
(C) x2 + (y - 4)2 = 16
(D) (x + 4)2 + (y + 4)2 = 16
(E) (x + 4)2 + (y - 4)2 = 16
If you add up 5 consecutive odd integers that are each greater than 15, what is the smallest possible sum?
(F) 75 (G) 90 (H) 95 (J) 100 (K) 105
Correct Answer: K
A poor, frustrated artist named Fresco created a plan to make money. He collected trash, repurposed it into sculptures, then asked various celebrities to write and paint on these trash objects, which he then sold on his own as modern high art. The chart below separately shows the cost and revenue of his plan. The linear cost function, C(x), represents the total money spent to make and market the art, while the linear revenue function, R(x), shows the amount of money he has made in sculpture sales.
Fresco initially spent money promoting the project in the media. He also had to pay the celebrities to participate. After 6 months, Fresco had created and sold x number of trash sculptures and finally broke even: he hadn't made or lost any money. How many sculptures did Fresco sell in his first 6 months of the project?
(F) 3 (G) 5 (H) 7 (J) 10 (K) 15
Correct Answer: G
If 6x + 3 = 12 + 3x, then x =?
（A）6
（B） 5
（C） 3
（D） 
（E） 1
Correct Answer: C
More ACT Math Exam Questions
- 1
What is the result when you add the matrix
to the matrix 
and multiply the result by 2? - 2
Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.
To determine how much trim to buy for the sail, Greg calculated the sail's perimeter. What is the sail's perimeter, in feet?
- 3Andrea wants to fill in two sections of her backyard with sod that must be purchased in 2-x-2-foot squares. If the two sections measure 30 x 40 feet and 60 x 80 feet, how many squares of sod does she need to buy?
- 4
Among the following arithmetic operations, which could the emoticon
represent given that the equation (8 2)3 - (4 1)2 = 48 is true?I. Subtraction
II. Multiplication
III. Division
- 5Natalie starts at the finish line of a straight 1,300-foot track and runs to the left toward the starting line at a constant rate of 12 feet per second. Jonathon starts 150 feet to the right of the starting line and runs to the right toward the finish line at a constant rate of 9 feet per second. To the nearest tenth of a second, after how many seconds will Natalie and Jonathon be at the same point on the track?