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OG15 OG16 OG17 OG18 OG19 OG20 OG2022	A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?
OG16 OG17 OG18 OG19 OG20 OG2022	The graph of which of the following equations is a straight line that is parallel to line l in the figure above?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	An object thrown directly upward is at a height of h feet after t seconds, where $${h}=-{16}({t}-{3})^{2}+{150}$$. At what height, in feet, is the object 2 seconds after it reaches its maximum height?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Which of the following is equivalent to the pair of inequalities x + 6>10 and $$x-3\le5$$
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	David has d books, which is 3 times as many as Jeff and $$\frac{1}{2}$$ as many as Paula. How many books do the three of them have altogether, in terms of d
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	At his regular hourly rate, Don had estimated the labor cost of a repair job as $336 and he was paid that amount. However, the job took 4 hours longer than he had estimated and, consequently, he earned $2 per hour less than his regular hourly rate. What was the time Don had estimated for the job, in hours?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	if $$\frac{p}{q}$$<1, and p and q are positive integers, which of the following must be greater than 1 ?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x > y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately $$\frac{70}{r}$$ years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Which of the following inequalities is an algebraic expression for the shaded part of the number line above?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In a small snack shop, the average (arithmetic mean) revenue was $400 per day over a 10-day period. During this period, if the average daily revenue was $360 for the first 6 days, what was the average daily revenue for the last 4 days?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] +[3.4]+[2.7]?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In the first week of the year, Nancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Nancy saved during the 52 weeks?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In a certain sequence, the term $${x}_{n}$$, is given by the formula $${x}_{n}={2}{x}_{n-1}-\frac{1}{2}({x}_{n-2})$$ for all $${n}\geq{2}$$. If $${x}_{0}=3$$ and $${x}_{1}=2$$, what is the value of $${x}_{3}$$
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine`s average speed for the entire trip?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If $${n}={33}^{43}+{43}^{33}$$, what is the units digit of n?
OG18 OG19 OG20 OG2022	Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides to line up male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups?