1. If 2 x + 3 = 9, what is the value of 4 x – 3 ?
(A) 5
(B) 9
(C) 15
(D) 18
(E) 21
2. If 4(t + u) + 3 = 19, then t + u = ?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
3. In the x y-coordinate (坐标) plane above, the line contains the points (0,0) and (1,2). If line M (not shown) contains the point (0,0) and is perpendicular (垂直) to L, what is an equation of M?
(A) y = -1/2 x
(B) y = -1/2 x + 1
(C) y = - x
(D) y = - x + 2
(E) y = -2x
4. If K is divisible by 2,3, and 15, which of the following is also divisible by these numbers?
(A) K + 5
(B) K + 15
(C) K + 20
(D) K + 30
(E) K + 45
5. There are 8 sections of seats in an auditorium. Each section contains at least 150 seats but not more than 200 seats. Which of the following could be the number of seats in this auditorium?
(A) 800
(B) 1,000
(C) 1,100
(D) 1,300
(E) 1,700
6. If r suv = 1 and r sum = 0, which of the following must be true?
(A) r < 1
(B) s < 1
(C) u= 2
(D) r = 0
(E) m = 0
7. The least integer of a set of consecutive integers (连续整数) is –126. if the sum of these integers is 127, how many integers are in this set?
(A) 126
(B) 127
(C) 252
(D) 253
(E) 254
8. A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 200 seniors, 300 juniors, and 400 sophomores who applied. Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 time; and each sophomore’s name, 1 times. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen?
(A) 1/8
(B) 2/9
(C) 2/7
(D) 3/8
(E) 1/2