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题目： In the rectangular coordinate system .above, if △OPQ and △QRS have equal area, what are the coordinates of point R? (1) The coordinates of point Pare (0,12). (2) $$OP = OQ$$ and $$QS = RS$$.

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题目： The symbol △ represents which one of the following operations: addition, subtraction, or multiplication? (1) $$a △ (b △ c)\neq a △(c △b)$$ for some numbers a, b, and c. (2) $$a △(b △ c) \neq(a △b)△c$$ for some numbers a, b, and c.

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题目： Working together, Rafael and Salvador can tabulate a certain set of data in 2 hours. In how many hours can Rafael tabulate the data working alone? (1) Working alone, Rafael can tabulate the data in 3 hours less time than Salvador, working alone, can tabulate the data. (2) Working alone, Rafael can tabulate the data in $$\frac{1}{2}$$ the time that Salvador, working alone, can tabulate the data.

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题目： If x and y are integers, what is the value of x? (1) $$ xy= 1$$ (2) $$ x\neq 1$$

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题目： In the xy-plane, the points (c,d), (c,-d), and (-c,-d) are three vertices of a certain square. If c 0, which of the following points is in the same quadrant as the fourth vertex of the square?

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题目： The infinite sequence $$a_1$$, $$a_2$$, ... , $$a_n$$, ... is such that $$a_1 = 2$$, $$a_2 = -3$$, $$a_3 = 5$$, $$a_4 = -1$$, and $$a_n = a_{n-4}$$ for n > 4. What is the sum of the first 97 terms of the sequence?

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题目： The sequence $$a_1$$, $$a_2$$, ... $$a_n$$, ... is such that $$a_n= 2a_{n-1} - x$$ for all positive integers $$ n\geq 2$$ and for a certain number x. If $$a_5 = 99$$ and $$a_3 = 27$$, what is the value of x?

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题目： On a certain transatlantic crossing, 20 percent of 80 a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did $$\underline {not}$$ take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?

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题目： For every even positive integer m, f(m) represents the product of all even integers from 2 tom, inclusive. For example, $$f(12) = 2 \times 4 \times 6 \times 8 \times 10 \times 12$$. What is the greatest prime factor of f(24) ?

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题目： On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day,$$\frac{4}{5}$$ of the rolls in the batch were sold, each at a price that was 50 percent greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20 percent less than the price of the day before. What was the bakery's profit on this batch of rolls?

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题目： If $$x^{2} - 2x - 15 = 0$$ and $$ x > 0$$ which of the following must be equal to 0 ? I. $$x^{2} - 6x +9$$ II. $$x^{2} - 7x +10$$ III. $$x^{2} - 10x +25$$

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题目： Of all the students in a certain dormitory, $$\frac{1}{2}$$ are first year students and the rest are second-year students. !f $$\frac{4}{5}$$ of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are· second-year students who have not declared a major?

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题目： In a field day at a school, each child who competed in n events and scored a total of p points was given an overall score of $$\frac{p}{n}+ n$$ . Andrew competed in 1 event and scored 9 points. Jason competed in 3 events and scored 5, 6, and 7 points, respectively. What was the ratio of Andrew's overall score to Jason's overall score?

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题目： For what value of x between -4 and 4, inclusive, is the value of $$x^{2} - 10x + 16$$ the greatest?

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题目： If $$ x - y = R$$ and $$ xy = S$$ , then $$ (x - 2)(y + 2)$$ =