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If $$x >1$$ and $$y >1$$, is $$x<{y}$$?(1)$$\frac{x^2}{xy+x}<{1}$$(2) $$\frac{xy}{y^2-y}<{1}$$
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Linda purchased 3 books at a book fair. What was the median price of the 3 books?(1) The average (arithmetic mean) price of the 3 books was $1.5(2) The price of one of the 3 books was $1.5
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In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth?
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OG18-数学分册
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 In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
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For all integers x and y, the operation $$\Delta $$ is defined by $${x}\Delta{y}=({x}+{2})^{2}+({y}+{3})^{2}$$. What is the value of integer t?(1)$$ t \Delta 2 = 74$$(2) $$2 \Delta t = 80$$
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If x and y are nonzero integers, is 18 a factor of $${x}{y}^{2}$$?(1) x is a multiple of 54.(2) y is a multiple of 6.
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PREP07 Test 1
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On a certain day, Tim invested $1,000 at 10 percent annual interest, compounded annually, and Lana invested $2,000 at 5 percent annual interest, compounded annually. The total amount of interest earned by Tim's investment in the first 2 years was how much greater than the total amount of interest earned by Lana's investment in the first 2 years?
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OG18-数学分册
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2x + y = 12$$| y | \le 12$$For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers?
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A certain circle in the xy-plane has its center at the origin. If P is a point on the circle, what is the sum of the squares of the coordinates of P?(1) The radius of the circle is 4.(2) The sum of the coordinates of P is 0.
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In triangle PQR, the measure of angle P is 30° more than twice the measure of angle Q. What is the measure of angle R?(1) PQ = QR(2) The measure of angle P is 78°.
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In the decimal representation of x, where 0 < x < 1, is the tenths digit of x nonzero?(1) 16x is an integer.(2) 8x is an integer.
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GWD
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According to the passage, which of the following was true of Virginia Democrats in the mid-1850's?
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A cash register in a certain clothing store is the same distance from two dressing rooms in the store. If the distance between the two dressing rooms is 16 feet, which of the following could be the distance between the cash register and either dressing room?I. 6 feetII. 12 feetIII. 24 feet
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At the end of each year, the value of a certain antique watch is c percent more than its value one year earlier, where c has the same value each year. If the value of the watch was k dollars on January1, 1992, and m dollars on January 1, 1994, then in terms of m and k, what was the value of the watch, in dollars, on January 1, 1995 ?
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Departments A, B, and C have 10 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
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If $$x \ge 0$$ and $${x}=\sqrt{8xy-16y^2}$$ , then, in terms of y, x =
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 The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,200 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both "user-friendly" and "fast response time," what is the maximum possible number of respondents who cited "bargain prices," but neither "user-friendly" nor "fast response time?"
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OG16 OG17 OG18 OG19 OG20 OG2022
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 In the figure shown, if the area of the shaded region is 3 times the area of the smaller circular region, then the circumference of the larger circle is how many times the circumference of the smaller circle?
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If u, v, and w are integers, is u > 0 ?(1) $${u}={v}^{2}+{1}$$(2) $${u}={w}^{4}+{1}$$
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 In the figure above, what is the measure of ∠ABC ?(1) BX bisects ∠ABY and BY bisects ∠XBC.(2) The measure of ∠ABX is 40°.
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