In the diagram below, ABC is isosceles and BCD is equilateral. = and the measure of ABC is half the measure of BAC. What is the measure of ABD?
(F) 36°
(G) 60°
(H) 72°
(J) 96°
(K) 150°
(3a + 2b)(a - b2) is equivalent to
(F) 4a + b2 (G) 3a2 - 2b3 (H) 3a2 + 2ab + 2b3 (J) 3a2 - 3ab2 + a2 b2 (K) 3a2 - 3ab2 + 2ab - 2b3
Correct Answer: K
Which of the following is NOT a factor of 4x2y4– 12x3y2– 8xy3?
(F) 2x2(G) 2xy2(H) –2y(J) 4y2(K) 4xy
Correct Answer: F
The coordinates of the vertices of MON are shown in the standard (x,y) coordinate plane below. Rectangle MPQR is shown shaded. Point P lies on , point Q lies on , and point R lies on .
What is the value of cos (MON)?
(A) (B) (C) 2 (D) (E)
Correct Answer: B
More ACT Math Exam Questions
- 1
Lucy is studying her ant farm. She needs to approximate the number of ants in the population, and she realizes that the number of ants, N, is close to 50 more than double the volume of the ant farm, V. Which of the formulas below expresses that approximation?
- 2
The kinetic energy, KE, of an object travelling at v velocity can be modeled by the equation KE = mv2, where m is the mass of the object. If an object is moving at a velocity of 9, and it has a kinetic energy of 120, about how great is the object's mass?
- 3What ACT score is needed for Yale?
- 4
What is the distance, in coordinate units, between the points M (1,-3) and N (-5,5) in the standard (x,y) coordinate plane?
- 5Which of the following lists contains only prime numbers?