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OG12 OG15
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If 4 is one solution of the equation $${x}^{2} + 3x + k = 10$$, where k is a constant, what is the other solution?
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If x = -3, what is the value of -3(x^2) ?
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$$\frac{({29}^{2}+{29})}{29}=$$
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OG12
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In a horticultural experiment, 200 seeds were planted in plot I and 300 were planted in plot II. If 57 percent of the seeds in plot I germinated and 42 percent of the seeds in plot II germinated, what percent of the total number of planted seeds germinated?
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OG12
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 In the figure above, the value of y is
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OG12 OG15 OG16
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Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
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OG12 OG15 OG16
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If m is the average (arithmetic mean) of the first 10 positive multiples of 5 and if M is the median of the first 10 positive multiples of 5, what is the value of M-m?
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OG12 OG15 OG16
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If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x ?
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OG12 OG15
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John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
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$$1+{{1}\over{1}+({{1}\over{1}+\frac{1}{3}})}$$
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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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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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if $$\frac{1}{x}-\frac{1}{x+1}=\frac{1}{x+4}$$ then x could be
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OG12 OG15
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If a, b, and c are consecutive positive integers and $$a < b < c$$, which of the following must be true?I c-a = 2II abc is an even integer.III $$\frac{a+b+c}{3}$$is an integer.
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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
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If n is a positive integer, then n(n + l)(n + 2) is
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A rectangular circuit board is designed to have width w inches, perimeter p inches, and area k square Inches. Which of the following equations must be true?
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