## 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 2
^{a}× 2^{b}× 2^{c}= 512, then 2^{a}+ 2^{b}+ 2^{c}=?