OG12 OG15 OG16 OG17
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In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of point R ?
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OG12 OG15 OG16 OG17
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Car A is 20 miles behind Car B, which is traveling in the same direction along the same route as Car A. Car A is traveling at a constant speed of 58 miles per hour and Car B is traveling at a constant speed of 50 miles per hour. How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B ?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 55 units per day, what is the value of n ?
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OG12 OG15 OG16 OG17
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$${(\frac{x+1}{x-1})}^{2}$$If $${x}\neq{0}$$ and $${x}\neq{1}$$, and if x is replaced by $$\frac{1}{x}$$ everywhere in the expression above, then the resulting expression is equivalent to
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OG15 OG16 OG17 OG12
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In the figure above, if z = 50, then x + y =
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In the coordinate system above, which of the following is the equation of line £ ?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 27. By how much do the two digits differ?
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OG12 OG15 OG16 OG17
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The circle with center C shown above is tangent to both axes. If the distance from 0 to C is equal to k, what is the radius of the circle, in terms of k ?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In an electric circuit, two resistors with resistances x and y are connected in parallel. In this case, if r is the combined resistance of these two resistors, then the reciprocal of r is equal to the sum of the reciprocals of x and y. What is r in terms of x and y ?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are $$\frac{1}{4}$$, $$\frac{1}{2}$$ and $$\frac{5}{8}$$ respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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if $$\frac{1}{x}-\frac{1}{x+1}=\frac{1}{x+4}$$ then x could be
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OG12 OG15 OG16 OG17 OG18 OG19 OG19 OG20 OG2022
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$$(\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1}=$$
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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List T consists of 30 positive decimals, none of which is an integer, and the sum of the 30 decimals is S. The estimated sum of the 30 decimals, £, is defined as follows. Each decimal in T whose tenths digit is even is rounded up to the nearest integer, and each decimal in T whose tenths digit is odd is rounded down to the nearest integer; E is the sum of the resulting integers. If $$\frac{1}{3}$$ of the decimals in T have a tenths digit that is even, which of the following is a possible value of E - S ?I.-16II.6III.10
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In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?
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OG12 OG15 OG16 OG17
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Of the 200 students at College T majoring in one or more of the sciences, 130 are majoring in chemistry and 150 are majoring in biology. If at least 30 of the students are not majoring in either chemistry or biology, then the number of students majoring in both chemistry and biology could be any number from
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If $$5-\frac{6}{x}=x$$ then x has how many possible values?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 30 percent ryegrass, what percent of the weight of the mixture is X ?
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OG12 OG15 OG16
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A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
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OG12 OG15 OG16
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Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and $$\overline{PR}$$ is parallel to the x-axis. The x- and y-coordinates of P, Q, and R are to be integers that satisfy the inequalities $$-4 \le x \le 5$$ and $$6 \le y \le 16$$. How many different triangles with these properties could be constructed?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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How many of the integers that satisfy the inequality $${\frac{(x+2)(x+3)}{x-2}}\ge{0}$$ are less than 5 ?
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