If 6x + 3 = 12 + 3x, then x =?
(A)6
(B) 5
(C) 3
(D)
(E) 1
What is the degree measure of an angle that measures radians?
(F) (G) (H) 252° (J) 84° (K) 12°
Correct Answer: J
The figure below shows the screen of an automobile navigation map. Point A represents the car's starting point, point B represents the driver's intended destination, and point C, the center of the circle, is the car's current position. Currently, point A is 15 miles from point C and 250° clockwise from due north, and point B is 20 miles from point C and 30° clockwise from due north. Which of the following represents the shortest distance (a straight line) between the car's starting point and the driver's desired destination?
(Note: For any ABC in which side a is opposite A, side b is opposite B, and side c is opposite C, the law of cosines applies: c2 = a2
(A) (B) (C) (D) (E)
Correct Answer: B
For all x, (3x - 5)(4x + 3) = ?
(A)12x2 - 15 (B) 12x2 + 11x - 15 (C) 12x2 - 11x - 15 (D) 12x2 + 29x - 15 (E) 12x2 - 29x - 15
Correct Answer: C
More ACT Math Exam Questions
- 1
What is x, the second term in the geometric series + x + + + ... ?
(Note: In a geometric series the ratio of any term to the following term is constant.)
- 2
The expression 23fg - 6f(5f +3g) is equivalent to:
- 3The length of the hypotenuse of the right triangle figured below is 16,
and the length of one of its legs is 12. What is the cosine of angle θ?
- 4
A sphere is inscribed in a cube with a diagonal of 3 ft. In feet, what is the diameter of the sphere?
- 5For which of the following values of a will there be exactly one real solution to the equation 2x2 - ax + 8 = 0?