If A, x, and y are all distinct numbers, and A = 
, which of the following represents x in terms of A and y?
(A) 
(B) 
(C) 
(D) 
(E) 
The graph of y = f(x) is shown in the standard (x,y) coordinate plane below with points V, W, X, Y, and Z labeled.
If y = f(x) is to be reflected across the line y = x, which of the following graphs represents the result?
(A) 
(B) 
(C) 
(D) 
(E) 
Correct Answer: D
At the company YouGroove, 35 employees work in the sales department and 50 employees work in the operations department. Of these employees, 15 work in both the sales and the operations departments. How many of the 110 employees at YouGroove do NOT work in either the sales or the operations departments?
(F) 10 (G) 15 (H) 20 (J) 35 (K) 40
Correct Answer: K
Below is the graph that a specialty automobile manufacturer uses to
plot the speed tests done on his new cars. The speed is recorded in
units of 
and is conducted for a period of 9 seconds. A certain order of 3 of the
following 6 actions describes the results of the speed test depicted in
the graph below. Which order is it?
I. Constant speed for 1 second
II. Constant speed for 3 seconds
III. Speed increase for 4 seconds
IV. Speed increase for 9 seconds
V. Speed decrease for 2 seconds
VI. Speed decrease for 7 seconds
(F) IV, II, VI (G) III, II, V (H) I, III, V (J) III, I, VI (K) V, I, II
Correct Answer: G
More ACT Math Exam Questions
- 1Given the functions f and g are defined as f(a) = 3a - 4 and g(a) = 2a2 + 1 what is the value of f(g(a))?
- 2
A poor, frustrated artist named Fresco created a plan to make money. He collected trash, repurposed it into sculptures, then asked various celebrities to write and paint on these trash objects, which he then sold on his own as modern high art. The chart below separately shows the cost and revenue of his plan. The linear cost function, C(x), represents the total money spent to make and market the art, while the linear revenue function, R(x), shows the amount of money he has made in sculpture sales.
Fresco initially spent money promoting the project in the media. He also had to pay the celebrities to participate. After 6 months, Fresco had created and sold x number of trash sculptures and finally broke even: he hadn't made or lost any money. How many sculptures did Fresco sell in his first 6 months of the project?
- 3
If
, then n! =? - 4If the lengths of adjacent sides of a rectangular playground have measures of 4x - 3 and 2x2 + 7 units, respectively, then which of the following expressions represents the area, in square units, of the playground?
- 5Six equilateral triangles form the figure below. If the perimeter of
each individual triangle is 15 inches, what is the perimeter of ABCDEF, in inches?
