Home->ACT Math

A certain 18-quart stockpot is filled completely with water and exposed to a heat source so that the water boils away at a constant rate. The water remaining in the stockpot can be approximated by the following equation: y = 18 - 0.2x, where x is the number of minutes that the pot has been heated for 0 ≤ x ≤ 90, and y is the number of quarts remaining in the pot. According to this equation, which of the following statements is true about this stockpot?

(F) After 0.2 minutes, 1 quart of water has boiled away.

(G) After 1 minute, 0.2 quarts of water have boiled away.

(H) After 18 minutes, 0.2 quarts of water have boiled away.

(J) After 18 minutes, 1 quart of water has boiled away.

(K) After 36 minutes, 18 quarts of water have boiled away.

Steve is going to buy an ice-cream sundae. He first must choose 1 of 3 possible ice-cream flavors. Next, he must choose 1 of 2 types of syrup. Finally, he must choose 1 of 6 kinds of candy toppings. Given these conditions, how many different kinds of sundaes could Steve possibly order?

（A）162 （B） 36 （C） 18 （D） 9 （E） 6

Correct Answer: B

Which choice below is the complete solution set of |2z - 3| ≥ 7?

(A) z ≥ 5 (B) z ≤ -2 or z ≥ 5 (C) -5 ≤ -6 or z ≥ 2 (D) z ≤ -6 or z ≥ 2 (E) z ≤ -5 or z ≥ 2

Correct Answer: B

In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do NOT come from families with only one child?

（A）220 （B） 514 （C） 2,202 （D） 5,138 （E） 7,120

Correct Answer: D