For which of the following values of a will there be exactly one real solution to the equation 2x2 - ax + 8 = 0?
(A)2
(B) 4
(C) 4
(D) 6
(E) 8
Which of the following inequalities specifies precisely the real values of x that are solutions to the inequality -5 < -3x - 7?
(A)x < 4 (B) (C) (D) (E) x > 4
Correct Answer: B
If x2– x– 2 > 0, which of the following is the solution set for x?
(F) x> –1(G) x> 2(H) –1 < x < 2(J) x< –1 or x> 2(K) No solutions are possible.
Correct Answer: J
In the standard (x,y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?
(A)(3,–7) (B)(4,–8) (C)(5,–1) (D)(8,–3) (E)(9,–3)
Correct Answer: A
More ACT Math Exam Questions
- 1
The following graph shows the percentage of shares controlled by five owners of a startup software company. Zach intends to sell his shares equally among the other four owners. After this sale is final, what percentage of the company will Bell own?
- 2
Rectangle AKLD consists of 5 congruent rectangles as shown in the figure below. Which of the following is the ratio of the length of to the length of ?
- 3Alan has a rectangular photograph that is 20 centimeters wide by 30 centimeters long. Alan wants to reduce the area of the photograph by 264 square centimeters by decreasing the width and length by the same amount. What will be the new dimensions (width by length), in centimeters?
- 4In the figure below, side of isosceles triangle NLM lies on the line y + x = 2 in the standard (x,y) coordinate plane, and side is parallel to the x-axis. What is the slope of ?
- 5
Nita, Craig, and Chris catch a total of 300 fish on their trip. If Chris catches 45% of the fish and Craig catches 25 fish, what fraction of the 300 fish does Nita catch?