The following figure shows f(x), which includes points L,M,and nplus the line segments and . Which of the following functions is equivalent to f(x)?
(A) f(x+ 6)
(B) f(x– 6)
(C) f(6 – x)
(D) –f(x+ 6)
(E) –f(x– 6)
If cot θ = P, which of the following expressions must also equal P?
（A）tan θ
（B） csc θ - 1
（C） sin θ - cos θ
（D） 
（E） 
Correct Answer: E
To make a cardboard table for her dollhouse, Ouisie uses a rectangular piece of cardboard measuring 40 inches wide and 60 inches long. She cuts out four equal-sized squares from each corner and folds down the sides at a 90° angle. If the top of the table measures 800 square inches, how tall, in inches, is the table?
（A）40 （B） 30 （C） 25 （D） 20 （E） 10
Correct Answer: E
More ACT Math Exam Questions
- 1
The figure below shows a ramp for skateboarders. The base of the ramp is 25 feet long, and it rises at a 10° angle.
Given the trigonometric calculations in the table below, how high off the ground will a skateboarder be at the top of the ramp, rounded to the nearest 0.1 foot?
- 2The equation y= axb+ cproduces the following (x, y) coordinate pairs: (0, 2), (1, 7), and (2, 42).What is the value of abc?
- 3If x2 - 36a2 = 5ax, what are the two solutions for x in terms of a?
- 4Noreen recently took a job helping people register to vote. The job has a mandatory 10-day period of probation during which her success rate is strictly monitored. On her first day, she registered 30 people. Then, for each of the next 9 days, she registered 4 more people than she did on the previous day. How many people did she register altogether during her probationary period?
- 5In the real numbers, what is the solution of the equation 9x-4 = 273x + 2?