Let the operation # be defined for the set of real numbers by:
Which of the following statements are true for all real numbers x, y, and z?
I. x # y = y # x
II. (x # y) # z = x # (y # z)
III. 0 # x = 0
(A)I only
(B) II only
(C) III only
(D) I and III only
(E) II and III only
If 
, with a > 0, b> 0, and c> 0, what is the value of ain terms of band c?
(A) 
(B) 
(C) 
(D) 
(E) 
Correct Answer: B
A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
What fraction of the critics gave the book a one-star review?
(A) 
(B) 
(C) 
(D) 
(E) 
Correct Answer: E
The second term of an arithmetic sequence is -2, and the third term is 8. What is the first term?
(Note: An arithmetic sequence has a common difference between consecutive terms.)
（A）-12
（B） -10
（C） 
（D） 3
（E） 10
Correct Answer: A
More ACT Math Exam Questions
- 1In the figure below, side
of isosceles triangle 
NLM lies on the line y + 
x = 2 in the standard (x,y) coordinate plane, and side 
is parallel to the x-axis. What is the slope of 
?
- 2Which of the following is NOT an irrational number?
- 3In the figure shown below,
bisects 
BAD, and 
bisects CAE What is the measure of CAD?
- 4
During their daily training race, Carl has to stop to tie his shoes. Melissa, whose shoes are velcro, continues to run and gets 20 feet ahead of Carl. Melissa is running at a constant rate of 8 feet per second, and Carl starts running at a constant rate of 9.2 feet per second to catch up to Melissa. Which of the following equations, when solved for s, gives the number of seconds Carl will take to catch up to Melissa?
- 5
What is the area of ΔRST in the following figure?
