Rectangle ABCD lies in the standard (x,y) coordinate plane with corners at A(4,2), B(6,-1), C(1,-4), and D(-1,-1), and is represented by the 2 × 4 matrix 
. ABCD is then translated, with the corners of the translated rectangle represented by the matrix 
. What is the value of n?
(A) 0
(B) -1
(C) -2
(D) -3
(E) -4
As shown in the figure below, a skateboard ramp leading from the top of a boulder is 10 feet long and forms a 32° angle with the level ground. Which of the following expressions represents the height, in feet, of the boulder?
(F) 10 tan 32°
(G) 
(H) 
(J) 10 sin 32°
(K) 10 cos 32°
Correct Answer: J
The slope of a line in the standard (x,y) coordinate plane is 4. What is the slope of a line perpendicular to that line?
(A) 4
(B) 
(C) -
(D) -1
(E) -4
Correct Answer: C
On an xy-graph, what is the length of a line segment drawn from (–3, 7) to (6, –5)?
(A) 15(B) 16(C) 17(D) 18(E) 20
Correct Answer: A
More ACT Math Exam Questions
- 1A 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?
- 2
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?
- 3Aleksandra began collecting model airplanes in May of 2008. The number of model airplanes that she owns in each month can be modeled by the function A(m) = 2m + 2, where m = 0 corresponds to May. Using this model, how many model airplanes would you expect Aleksandra to own in December of 2008?
- 4Melissa attaches her dog's leash to a metal anchor in the grass so that
the dog can roam only within a radius of 12 feet in any direction from
the anchor. A map of the area accessible to the dog is shown below in
the standard (x,y) coordinate plane, with the anchor at the origin and 1 coordinate unit representing 1 foot.
Joy
brings her dog to the same park and anchors her dog 30 feet away from
Melissa's anchor along a walking trail. Joy's dog can roam only within a
radius of 20 feet in all directions from its anchor. For how many feet
along the walking trail can both dogs roam?
(Note: Assume the leashes can't stretch.)
- 5
In cubic meters, what is the volume of a large cube whose edges each measure 6 meters in length?