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OG12 OG15	A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than15 percent of the cost of the meal, then the total amount paid must have been between
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ?(1)The area of square region B is 9.(2)The area of square region C is $$\frac{64}{9}$$
OG12 OG15	In a weight-lifting competition, the total weight of Joe's two lifts was 750 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
OG12 OG15	If Sara's age is exactly twice Bill's age, what is Sara's age?(1)Four years ago, Sara's age was exactly 3 times Bill's age.(2)Eight years from now, Sara's age will be exactly 1.5 times Bill's age.
OG12 OG15 OG16 OG17	A report consisting of 2,600 words is divided into 23 paragraphs. A 2-paragraph preface is then added to the report. Is the average (arithmetic mean) number of words per paragraph for all 25 paragraphs less than 120 ?(1)Each paragraph of the preface has more than 100 words.(2)Each paragraph of the preface has fewer than 150 words.
OG12 OG15 OG16	A club collected exactly $599 from its members. If each member contributed at least $12, what is the greatest number of members the club could have?
OG12 OG15	In the rectangular coordinate system above, if OP < PQ, is the area of region OPQ greater than 48 ?(1)The coordinates of point P are (6,8).(2)The coordinates of point Q are (13,0).
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	$${S}=\frac{\frac{2}{n}}{\frac{1}{x}+\frac{2}{3x}}$$In the expression above, if $${x}{n}≠{0}$$, what is the value of S?(1)x = 2n(2)$$n =\frac{1}{2}$$
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]?
OG12 OG15 OG16	if $$\frac{(4-x)}{(2+x)}= x$$, what is the value of $${x}^{2} + 3x - 4$$?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If n is a positive integer and $$k = {5.1}{10}^{n}$$, what is the value of k ?(1)$$6,000 < k < 500,000$$(2)$${k}^{2}={2.601}{10}^{9}$$
OG12 OG15	If Carmen had 12 more tapes, she would have twice as many tapes as Rafael. Does Carmen have fewer tapes than Rafael?(1)Rafael has more than 5 tapes.(2)Carmen has fewer than 12 tapes.
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	If x is an integer, is $$x \mid x \mid < {2}^{X}$$ ?(1)$$x < 0$$(2)$$x = -10$$
OG12 OG15	The trapezoid shown in the figure above represents a cross section of the rudder of a ship. If the distance from A to B is 13 feet, what is the area of the cross section of the rudder in square feet?
OG12 OG15	If n is a positive integer, is the value of b - a at least twice the value of $${3}^{n}-{2}^{n}$$ ?(1)$$a ={2}^{n+1}$$ and $$b={3}^{n+1}$$(2)$$n = 3$$
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	In the figure above, V represents an observation point at one end of a pool. From V, an object that is actually located on the bottom of the pool at point R appears to be at point S. If VR = 10 feet, what is the distance RS, in feet, between the actual position and the perceived position of the object?
OG12 OG15	The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods, $3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970 ?(1)The price of the Model K mixer was $102.40 more in 1989 than in 1970.(2)The price of the Model K mixer was $142.40 in 1989.