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OG15 OG16 OG17 OG12	In the figure above, if z = 50, then x + y =
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In the coordinate system above, which of the following is the equation of line ￡ ?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	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?
OG12 OG15 OG16 OG17	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 ?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	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 ?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	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?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	if $$\frac{1}{x}-\frac{1}{x+1}=\frac{1}{x+4}$$ then x could be
OG12 OG15 OG16 OG17 OG18 OG19 OG19 OG20 OG2022	$$(\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1}=$$
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	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
OG12 OG15 OG16 OG17	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?
OG12 OG15 OG16 OG17	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
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If $$5-\frac{6}{x}=x$$ then x has how many possible values?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	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 ?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	How many of the integers that satisfy the inequality $${\frac{(x+2)(x+3)}{x-2}}\ge{0}$$ are less than 5 ?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	The value of $$\frac{({2}^{-14}+{2}^{-15}+{2}^{-16}+{2}^{-17})}{5}$$ is how many times the value of$${2}^{-17}$$?
OG17	An amusement park currently charges the same price for each ticket of admission. If the current price of admission were to be increased by $3, 12 fewer tickets could be bought for $160, excluding sales tax. What is the current price of each ticket?
OG17 OG18 OG19 OG20 OG2022	In the figure above, point D is on $$\overline {AC}$$. What is the degree measure of $$\angle BAC$$?(1)The measure of $$\angle BDC$$ is 60°.(2)The degree measure of $$\angle BAC$$ is less than the degree measure of $$\angle BDC$$.
OG17	If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?
OG12 OG15 OG16 OG17	In College X the number of students enrolled in both a chemistry course and a biology course is how much less than the number of students enrolled in neither?(1)In College X there are 60 students enrolled in a chemistry course.(2)In College X there are 85 students enrolled in a biology course.
OG17	The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x < y, which of the following must be true?I.The units digit of x + y is greater than the units digit of either x or y.II.The tens digit of x + y equals 2.III.The hundreds digit of y is at least 5.