Triangle XYZ is an equilateral triangle. YW‾ \overline{\rm YW} YW is an altitude of the triangle. If XY‾ \overline{\rm XY} XY is 10 in., what is the length of the altitude?
(A)5 in.
(B)5 √3 in.
(C)10 in.
(D)10 √3 in.
(E)5√2 in.
For what values of x will the equation (x + a)(x – a) = 0 be true?
(A) a and x (B)–a and –x (C) x and 0 (D)–a and a (E)none of the above
Correct Answer: D
If 2x + 3y = 55 and 4x = y + 47, find x y
（A） 6 （B） 12 （C） 24 （D） 28 （E） 32
Correct Answer: B
Given |x - 3| > x - 3, what is the solution set for the inequality?
（A）x > 3 （B） x < 3 （C） x > 0 （D） x < 0 （E） All real numbers
Correct Answer: B
More ACT Math Exam Questions
- 1In the standard coordinate plane, what is the distance between the points (6,–2) and (–4,8)?
- 2
The table below shows the percents of U.S. citizens who had ever consumed a certain brand-name soda, out of all soda consumers, for each year from 1986 through 2006.
The figure below shows a scatterplot of the data in the table and solid lines that are possible models for the data. Which of the 5 lines appears to be the best representation of the data?
- 3In circle C, shown here, a chord 32 inches long is 10 inches from the center of the circle. What is the radius of the circle, to the nearest tenth of an inch?
- 4Point O is the center of the circle shown below, and XZ is the diameter of the circle. If XZ = 8 ft, Y lies on the circle, and OX = XY, then what is the area, in square feet, of ΔXYZ?
- 5If a, b, and c are consecutive positive integers and 2a × 2b × 2c = 512, then 2a + 2b + 2c =?