The difference of 2 integers is 6. The sum of the same 2 integers is 42. What is the lesser of the 2 integers?
(A) 18
(B) 19
(C) 21
(D) 23
(E) 24
What is the value of when x = -3 and y = -4?
(F) - (G) - (H) (J) (K)
Correct Answer: J
As shown in the (x,y,z) coordinate space below, the cube with vertices L through S has edges that are 2 coordinate units long. The coordinates of Q are (0,0,0), and S is on the positive x-axis. What are the coordinates of O?
(F) (2,0,2) (G) (2,2,2) (H) (J) (K)
Correct Answer: H
Which of the following degree measures is equivalent to 2.25π radians?
(A) 101.25 (B) 202.5 (C) 405 (D) 810 (E) 1,620
Correct Answer: C
More ACT Math Exam Questions
- 1
The Crestview High School student body is made up only of freshmen, sophomores, juniors, and seniors. 25% of the students are freshmen, 35% are sophomores, and 20% are juniors. If no student can be considered to be in two classes, and there are 150 seniors, how many students make up the Crestview High School student body?
- 2The figure below shows the screen of an automobile navigation map. Point A represents the car's starting point, point B represents the driver's intended destination, and point C, the center of the circle, is the car's current position. Currently, point A is 15 miles from point C and 250° clockwise from due north, and point B is 20 miles from point C
and 30° clockwise from due north. Which of the following represents the
shortest distance (a straight line) between the car's starting point
and the driver's desired destination?
(Note: For any ABC in which side a is opposite A, side b is opposite B, and side c is opposite C, the law of cosines applies: c2 = a2
- 3
Susie has three T-shirts: one red, one blue, and one black. She also has three pairs of shorts: one red, one blue, and one black. How many different combinations are there for Susie to wear exactly one T-shirt and one pair of shorts?
- 4
For what value of x, if any, is the equation (x - 1)2 = (x - 7)2 true?
- 5
In the complex numbers, where , the conjugate of any value a + bi is a– bi.What is the result when you multiply 2 + 7i by its conjugate?