In the following figure, what is the midpoint of 
?
(A) 
(B) 
(C) 
(D) 
(E) 
A line in the standard (x, y) coordinate plane contains the points (5, 9) and (8, 3). What is the x-intercept of this line?
（A）19
（B） 
（C） 0
（D） -2
（E） -
Correct Answer: B
A function is defined for x and y such that f(x, y) = -2xy + y + x - 4. So, for x = 2 and y = 3, f(2, 3) = -2 × 2 × 3 + 3 + 2 - 4 = -12 + 1 = -11. If x and y are to be chosen such that f(x,y) = f(y,x), then which of the following restrictions must be placed on x and y?
(F) x > 0 and y > 0 (G) x < 0 and y < 0 (H) x = y (J) xy < 0 (K) No restrictions are needed.
Correct Answer: K
In the following figure, sin θ=
(A) 
(B) 
(C) 
(D) 
(E) 
Correct Answer: E
More ACT Math Exam Questions
- 1
Cyclist A averages 80 pedal revolutions per minute, and Cyclist B averages 61 pedal revolutions per minute. At these rates, how many more minutes does Cyclist B need than Cyclist A to make 9,760 pedal revolutions?
- 2Sebastian bought a meal at a restaurant and left a 15% tip. With the tip, he paid exactly $35.19. How much did the meal cost without the tip?
- 3
In the following graph, nis the midpoint of
. Which of the following answer choices are the coordinates of n?
- 4A flight instructor charges $75 per lesson, plus an additional fee for the use of his plane. The charge for the use of his plane varies directly with the cube root of the time the plane is used. If a lesson plus 27 minutes of plane usage costs $120, what is the total amount charged for a lesson involving 64 minutes of plane usage?
- 5
What is the slope of the line represented by the equation 10y - 16x = 13?