Which choice below is the complete solution set of |2z - 3| ≥ 7?
(A) z ≥ 5
(B) z ≤ -2 or z ≥ 5
(C) -5 ≤ -6 or z ≥ 2
(D) z ≤ -6 or z ≥ 2
(E) z ≤ -5 or z ≥ 2
The 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
(A) (B) (C) (D) (E)
Correct Answer: B
MicroCorp will hold its annual company picnic next week and will assign 3 planning duties to its employees. One person selected will reserve a venue, another will arrange catering, and a third will plan activities. There are 10 employees eligible to fulfill these duties, and no employee can be assigned more than one duty. How many different ways are there for duties to be assigned to employees?
(F) 73 (G) 93 (H) 103 (J) 9 · 8 · 7 (K) 10 · 9 · 8
Correct Answer: K
For all integer values of a and b such that a > 0 and b<0, which of the following must also be an integer?
(F) 3a+b (G) 3a-b (H) 3ab (J) 3-a (K)
Correct Answer: G
More ACT Math Exam Questions
- 1
A 16-piece orchestra wants to choose one of its members to speak at performances. They decide that this member CANNOT be one of the 4 soloists in the group. What is the probability that Itzhak, who is NOT a soloist, will be chosen as the speaker?
- 2
The following figure shows the graph of an equation y= ax2+ bx+ c.Which of the answer choices CANNOT be true
- 3
If mand nare both factors of 75, which of the following could equal m+ n:
- 4
If G is in the interior of right angle DEF, then which of the following could be the measure of GEF?
- 5
In the (x,y) coordinate plane below, points P (6,2) and Q (1,4) are two vertices of ΔPQR. If PQR is a right angle, then which of the following could be the coordinates of R?