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OG16 OG17 OG18 OG19 OG20 OG2022	If a(a + 2) = 24 and b(b + 2) = 24, where $$ a\neq b,$$ then a + b =
OG21 OG2022	In the xy plane, the distance between the origin and the point(4,5)is the same as the distance between which of the following two points?
OG16 OG17 OG18 OG19 OG20 OG2022	In a recent election, Ms. Robbins received 8,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
OG21 OG2022	The profit P, in dollars, for any given month at a certain company is defined by P = I - C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12-month year?
OG16 OG17 OG18 OG19 OG20 OG2022	In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC?
OG18 OG19 OG20 OG2022	A manufacturer makes and sells 2 products, P and Q. The revenue from the sale of each unit of P is $20.00 and the revenue from the sale of each unit of Q is $17.00. Last year the manufacturer sold twice as many units of Q as P. What was the manufacturer's average (arithmetic mean ) revenue per unit sold of these 2 products last year?
OG21 OG2022	Last year a state senate consisting of only Republican and Democrat members had 20 more Republican members than Democrat members. This year the senate has the same number of members as last year, but it has 2 fewer Republican members than last year. If this year the number of Republican members is $$\frac{2}{3}$$ the number of senate members, how many members does the senate have this year?
OG16 OG17 OG18 OG19 OG20 OG2022	The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length l and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?
OG21 OG2022	Sam has $800 in his account. He will deposit $1 in his account one week from now, $2 two weeks from now, and each week thereafter he will deposit an amount that is $1 greater than the amount that he deposited one week before. If there are no other transactions, how much money will Sam have in his account 50 weeks from now?
OG21 OG2022	A certain state's milk production was 980 million pounds in 2007 and 2.7 billion pounds in 2014. Approximately how many more million gallons of milk did the state produce in 2014 than in 2007? (1 billion = 10^9 and 1 gallon = 8.6 pounds.)
OG16 OG17 OG18 OG19 OG20 OG2022	Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 4 days?
OG19 OG20 OG2022	The symbol $$\Delta$$ denotes one of the four arithmetic operations: subtraction, multiplication, or division. If 6 $$\Delta$$ 3 $$\le$$ 3, which of the following must be true? I. 2 $$\Delta$$ 2=0 II. 2 $$\Delta$$ 2=1 III. 4 $$\Delta$$ 2=2
OG17 OG18 OG19 OG20 OG2022	If$$ mn \neq 0 $$ and 25 percent of n equals $$37\frac{1}{2}$$ percent of m, what is the value of $$\frac{12n}{m}$$?
OG17 OG18 OG19 OG20 OG2022	Last year Joe grew 1 inch and Sally grew 200 percent more than Joe grew. How many inches did Sally grow last year?
OG19 OG20 OG2022	The table shows partial results of a survey in which consumers were asked to indicate which one of six promotional techniques most influenced their decision to buy a new food product .Of those consumers who indicated one of the four techniques listed ,what fraction indicated either coupons or store displays ?
OG21 OG2022	If 65 percent of a certain firm's employees are full-time and if there are 5,100 more full-time employees than part-time employees, how many employees does the firm have?
OG16 OG17 OG18 OG19 OG20 OG2022	The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula $${c}=\frac{100,000p}{100-p}$$. According to this estimate, how much more would it cost to remove 90 percent of the pollutant from the pond than it would cost to remove 80 percent of the pollutant?
OG16 OG17 OG18 OG19 OG20 OG2022	If $${x}{y}≠{0}$$ and $${x}^{2}{y}^{2}-{x}{y}={6}$$, which of the following could be y in terms of x?I.$$\frac1 {2x}$$II.$$-\frac2 x$$III $$\frac3 x$$
OG16 OG17 OG18 OG19 OG20 OG2022	$$\sqrt{{4.8}*{10}^{9}}$$ is closest in value to
OG21 OG2022	In a certain high school, 80 percent of the seniors are taking calculus, and 60 percent of the seniors who are taking calculus are also taking physics. If 10 percent of the seniors are taking neither calculus nor physics, what percent of the seniors are taking physics?