Which of the following inequalities is equivalent to ?

(A)

(B)

(C)

(D)

(E)

A model for the number of questions on an assignment, when the assignment is worth *p* points, is *q* = . According to this model, what is the number of questions, *q*, for an assignment worth 80 points?

(F) 128 (G) 26 (H) 80 (J) 13 (K) 3

**Correct Answer: F**

Which trigonometric function (where defined) is equivalent to ?

(F) (G) (H) sin x (J) (K)

**Correct Answer: H**

Let the operation # be defined for the set of real numbers by: Which of the following statements are true for all real numbers x, y, and z? I. x # y = y # x II. (x # y) # z = x # (y # z) III. 0 # x = 0

（A）I only （B） II only （C） III only （D） I and III only （E） II and III only

**Correct Answer: A**

### More ACT Math Exam Questions

- 1Alan has a rectangular photograph that is 20 centimeters wide by 30 centimeters long. Alan wants to reduce the area of the photograph by 264 square centimeters by decreasing the width and length by the same amount. What will be the new dimensions (width by length), in centimeters?
- 2
The day a clothing store puts out a batch of brand-name T-shirts it sells 95 shirts at $4.10 per shirt. However, each day the shirts are on the rack, the store reduces the price of the shirts by $0.02 and consequently sells 1 additional shirt with each price reduction. If

*x*represents the number of $0.02 price reductions, which of the following expressions represents the amount of money, in dollars, that the store will take in daily in sales of these brand name T-shirts? - 3Find two arithmetic means between 11 and 26 such that the difference between consecutive numbers is the same: 11,________ ,________, 26
- 4What is the value of the expression (y - x)
^{3 }when x = 5 and y = 1? - 5Two variables, vand w,are inversely proportional such that when v= 7, w= 14. What is the value of wwhen v= 2?