## Which of the following is (are) equivalent to the mathematical operation a(b - c) for all real numbers a, b, and c? I. ca - ba II. ab - ac III. (b - c)a

(A)II only

(B) I and II only

(C) I and III only

(D) II and III only

(E) I, II and III

The Correct Answer

Line T intersects parallel lines m and n. Angle measures are as shown in the figure below. What is the degree measure of a?

（A）10° （B） 80° （C） 90° （D） 100° （E） 110°

**Correct Answer: D**

For all

（A） （B） （C） （D） x - 3 （E）

**Correct Answer: B**

Jane wants to bring her bowling average up to an 85 with her performance on her next game. So far she has bowled 5 out of 7 equally weighted games, and she has an average score of 83. What must her score on her next game be in order to reach her goal?

（A）83 （B） 85 （C） 90 （D） 93 （E） 95

**Correct Answer: E**

### More ACT Math Exam Questions

- 1Which of the following expressions is equivalent to when x, y, and z are positive real numbers?
- 2When -3 ≤ x ≤ 3, |x -3| + |3 + x | = ?
- 3A line in the standard (x, y) coordinate plane has a slope of and passes through points (3,4) and (t,-2). What is the value of t?
- 4Gina watched as a plane took off from the runway and climbed to 30,000 feet. She calculated the plane's height, h feet, t seconds after takeoff to be given by h = 1,200 + 32t. To the nearest second, how many seconds did it take the plane to climb to a height of 2 miles? (Note: 1 mile = 5,280 feet)
- 5Jonathan, Ellery, and 3 other groomsmen are rehearsing for a wedding by walking down an aisle one at a time, one groomsman in front of the other. Each time all 5 walk down the aisle, the groom tells them to walk in a different order from first to last. What is the greatest number of times the groomsmen can walk down the aisle without walking in the same order twice?