Wade is making a tile mosaic. He begins the project by laying tile at a speed of 50 pieces per hour for 3.5 hours. He is then interrupted from his work for 60 minutes. He resumes working and lays tile at a speed of 35 pieces per hour, until he has laid 280 pieces of tile total. How many hours did Wade spend working on the mosaic after he was interrupted?
(A) 2.5
(B) 3
(C) 3.5
(D) 4
(E) 4.5
For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?
(F) b (G) b + 5 (H) 2b (J) (K) 10
Correct Answer: K
When (2x + 4)2 is written in the format ax2 + bx + c, where a, b, and c are integers, what is the value of a + b - c?
(A) -20(B) 4(C) 20(D) 32(E) 36
Correct Answer: B
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
Correct Answer: A
More ACT Math Exam Questions
- 1
In the figure below, ray was constructed starting from rays and . By using a compass D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:
- 2A 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?
- 3
Which of the following values of x does NOT satisfy the inequality |x-3|≥12?
- 4If 6x2 + x - c = (cx - 1)(3x + 2), what is the value of c?
- 5
In the following figure, is a chord of the circle centered at O,with . If KL= 12 and MO= 6, what is the area of the circle?