When adding fractions, a useful first step is to find the least common denominator (LCD) of the fractions. What is the LCD for these fractions?
(F) 3 · 5 · 7 · 11
(G) 32 · 52 · 7 · 11
(H) 32 · 52 · · 113
(J) 32 · 52 · 7 · 113
(K) 33 · 53 · 7 · 114
In the triangle below, the lengths of the two given sides are measured in centimeters. What is the value, in centimeters, of x?
(A) 9 sin 40° (B) 9 sin 50° (C) 9 cos 50° (D) 9 tan 40° (E) 9 tan 50°
Correct Answer: B
Which trigonometric function (where defined) is equivalent to 
?
(F) 
(G) 
(H) sin x
(J) 
(K) 
Correct Answer: H
If a + 3b = 27 and a - 3b = 9, then b = ?
(F) 3(G) 9(H) 14(J) 18(K) 36
Correct Answer: F
More ACT Math Exam Questions
- 1
Which of the following expressions is equivalent to
? - 2
On an xy-graph, what is the length of a line segment drawn from (–3, 7) to (6, –5)?
- 3
If the height of an equilateral triangle is 9, what is its area?
- 4
In the qualifying rounds for a race, Rusty and Dale drive their cars around a 6,000-foot oval track. Rusty and Dale each drive 8 laps in the qualifying rounds in lanes of identical length.
On day one of the qualifying rounds, Rusty and Dale start from the same point, but their cars are reversed and each drives opposite ways. Rusty drives at a constant speed that is 8 feet per second faster than Dale's constant speed. Rusty passes Dale for the first time in 150 seconds. Rusty drives at a constant rate of how many feet per second?
- 5
A trapezoidal driveway has the dimensions, in yards, given in the figure below. What is the area, in square yards, of the driveway?
