If x = 6 and y = –2, what is the value of 3xy+ 2x2 – y3?
(A) 44
(B) 48
(C) 50
(D) 52
(E) 56
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 nonzero real numbers a, b, and c, what is the value of a0 + b0 + c0?
(A) Undefined (B) a + b + c (C) 0 (D) 1 (E) 3
Correct Answer: E
The line with equation 5y - 4x = 20 does NOT lie in which quadrant(s) of the standard (x, y) coordinate plane below?
(A) Quadrant I only (B) Quadrant II only (C) Quadrant III only (D) Quadrant IV only (E) Quadrants I and III only
Correct Answer: D
More ACT Math Exam Questions
- 1
If ppercent of 250 is 75, what is 75% of p?
- 2Doug, who runs track for his high school, was challenged to a race by his younger brother, Matt. Matt started running first, and Doug didn’t start running until Matt had finished a quarter-mile lap on the school track. Doug passed Matt as they both finished their sixth lap. If both boys ran at a constant speed, with Doug running 2 miles an hour faster than Matt, what was Matt’s speed?
- 3On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephone pole casts a shadow 18 feet long. How many feet tall is the second telephone pole?
- 4
Consider all positive integer values a and b such that the product ab = 8. For how many values does there exist a positive integer c that satisfies both 2a = c and cb = 256?
- 5
In the figure below, lines p and q are parallel and angle measures are as marked. If it can be determined, what is the value of a?
