To this questions below, use the following graph, which provides information about the number of new clients five salespeople registered last month.
Suppose that next month Victoria registers twice as many clients as she did this month and that each of the other four salespeople registers the same number of clients as he or she did this month. In this case, what percentage of clients will Victoria have registered?
(A) 36%
(B) 40%
(C) 44%
(D) 48%
(E) 50%
A circle in the standard (x, y) coordinate plane is tangent to the x-axis at -a, and tangent to the y-axis at a, with a > 0. The radius of the circle is 4 units. What is the equation of the circle?
（A）x2 + y2 = 4 （B） x2 + y2 = 16 （C） (x - 4)2 + (y - 4)2 = 4 （D） (x + 4)2 + (y + 4)2 = 16 （E） (x + 4)2 + (y - 4)2 = 16
Correct Answer: E
In the standard (x,y) coordinate plane below, the base of a right triangle lies along the x-axis and is bisected by the y-axis. The vertex of the angle opposite the base is on the graph of the parabolic function f(x) = 2x2 - 4. Let b represent any value of x such that -
< x < 0. Which of the following is an expression in terms of b for the area, in square coordinate units, of any such right triangle?
(A) 4b4 - 16b2 + 16 (B) 4b3 - 8b (C) 2b3 - 4b (D) 2b2 + b - 4 (E) b2 - 4b + 4
Correct Answer: C
The expression x2 + 2x - 15 can be written as the product of 2 binomials with integer coefficients. One of the binomials is (x + 5). Which of the following is the other binomial?
(A) (x2 - 3) (B) (x2 + 3) (C) (x - 3) (D) (x + 3) (E) (x - 5)
Correct Answer: C
More ACT Math Exam Questions
- 1
A clown at an amusement park makes animal shapes from twisted balloons. She sells each animal based on the number of balloons it requires, according to the following chart:
Which of the following functions equals the dollar cost of a balloon animal that contains x balloons?
- 2
Which of the following ranges of consecutive integers contains the value of the expression
? - 3If y = 4, then |1 - y| = ?
- 4Steve is going to buy an ice-cream sundae. He first must choose 1 of 3 possible ice-cream flavors. Next, he must choose 1 of 2 types of syrup. Finally, he must choose 1 of 6 kinds of candy toppings. Given these conditions, how many different kinds of sundaes could Steve possibly order?
- 5
If you plot the equation x2+ (y– 2)2= 4 as a circle on a standard xy-graph, what is the area of the circle’s region that will lie in Quadrant 1, as shown in the following figure?
