SCHEDULE

5. In the schedule above, each session is to be \[1\frac{1}{2}\] hours long, each break is be \[\frac{1}{4}\] hour long, and lunch is to be 1 hour long. If session IV is to end at 4:30 P.M., at what time should session I begin?
(A) 8:15 A.M.
(B) 8:30 A.M.
(C) 8:45 A.M
(D) 9:00 A.M.
(E) 9:15 A.M.

6. If \[2x - 5, x + 1\], and \[3x - 8\] are all integers and \[x + 1\] is the median of these integers, which of the following could be a value for \[x\]?
(A) 5
(B) 7
(C) 9
(D) 10
(E) 11


7. An exhibitor is selling decorative wreaths at an arts and crafts show. The net profit \[P\], in dollars, from the sales of the wreaths is given by \[P(n) = 0.75n - 50 \], where \[n\] is the number of wreaths sold. How many wreaths must the exhibitor sell in order to earn a net profit of $100?
(A) 25
(B) 75
(C) 150
(D) 175
(E) 200

8. If \[x^2 + y^2 = 73\] and \[xy = 24\], what is the value of \[(x + y)^2\]?
(A) 73
(B) 97
(C) 100
(D) 121
(E) 144

Questions: 9, 10, 11:
9. In the figure above, \[AD = 1\] and \[DC = \sqrt{3}\]. What is the value of \[z\]?
(A) 15
(B) 20
(C) 25
(D) 30
(E) 35

10. If 30 percent of 40 percent of a positive number is equal to 20 percent of \[w\] percent of the same number, what is the value of \[w\]?
(A) 80
(B) 60
(C) 50
(D) 15
(E) 10
11. In the figure above, rectangle \[ABCD\] is made up of seven nonoverlapping rectangles. The two smallest rectangles have the same area. Each of the other rectangles has twice the area of the next smaller rectangle. The area of the shaded rectangle is what fraction of the area of rectangle \[ABCD\]?
(A) \[\frac{1}{128}\]
(B) \[\frac{1}{64}\]
(C) \[\frac{1}{32}\]
(D) \[\frac{1}{16}\]
(E) \[\frac{1}{7}\]

Questions: 12, 13, 14:
12. If \[2x < y < 0\], which of the following is greatest?
(A) \[-2x\]
(B) \[-(2x + y)\]
(C) \[2x\]
(D) \[0\]
(E) \[-y\]

13. Carlos delivered \[n\] packages on Monday, 4 times as many packages on Tuesday as on Monday, and 3 more packages on Wednesday than on Monday. What is the average (arithmetic mean) number of packages he delivered per day over the three days?
(A) \[2n - 3\]
(B) \[2n - 1\]
(C) \[2n + 1\]
(D) \[2n + 3\]
(E) \[6n + 1\]

14. If \[(a + b)^{\frac{1}{2}} = (a - b)^{-\frac{1}{2}}\], which of the following must be true?
(A) \[b = 0\]
(B) \[a + b = 1\]
(C) \[a - b = 1\]
(D) \[a^2 + b^2 = 1\]
(E) \[a^2 - b^2 = 1\]

Questions: 15, 16:
15. The figure above shows the graphs of \[y = x^2\] and \[y = a - x^2\] for some constant \[a\]. If the length of PQ is equal to 6, what is the value of \[a\]?
(A) 6
(B) 9
(C) 12
(D) 15
(E) 18

16. Set \[X\] has \[x\] members and set \[Y\] has \[y\] members. Set \[Z\] consists of all members that are in either set \[X\] or set \[Y\] with the exception of the \[k\] common members \[(k > 0)\]. Which of the following represents the number of members in set \[Z\]?
(A) \[x + y + k\]
(B) \[x + y - k\]
(C) \[x + y + 2k\]
(D) \[x + y - 2k\]
(E) \[2x + 2y - 2k\]