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If x = 3r - 4 and y = 3r + 2, which of the following expresses y in terms of x ?
A.) y = x + 2 B.) y = x + 6 C.) y = 9r + 14 D.) y = 6r - 2 E.) y = 3x + 14
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Which equation will produce the narrowest parabola when graphed?
A.) y = 3x² B.) y = 0.75x² C.) y = -6x² D.) y = -0.75x² E.) y = x²
A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet's owner will reward the finder with 1 bill drawn randomly from the wallet. What is the probability that the bill drawn will be a twenty-dollar bill?
A.) 1/20 B.) 4/51 C.) 1/8 D.) 2/5 E.) 2/3
A restaurant occupying the top floor of a skyscraper rotates as diners enjoy the view. Ling and Sarah notice that they began their meal at 7:00 P.M. looking due north. At 7:45 P.M. they had rotated 180° to a view that was due south. At this rate, how many degrees will the restaurant rotate in 1 hour?
A.) 90° B.) 180° C.) 240° D.) 270° E.) 400°
In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has the endpoints (3,8) and (1,-4) ?
A.) (-2,-12) B.) (-1,-6) C.) (11/2, -3/2) D.) (2,2) E.) (4,-12)
The total cost of renting a car is $30.00 for each day the car is rented plus 28.5¢ for each mile the car is driven. What is the total cost of renting the car for 5 days and driving 350 miles? (Note: No sales tax is involved.)
A.) $104.75 B.) $159.98 C.) $249.75 D.) $300.00 E.) $1,147.50
In the standard (x,y) coordinate plane, lines a and b intersect at point (5,-2). Lines b and c intersect at point (-3,3). What is the slope of line b?
A.) 1/2 B.) -5/2 C.) -2/5 D.) -5/8 E.) cannot be determined
The 35-member Science Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, cannot be any of the 3 officers of the club. What is the probability that James, who is a member of the club but not an officer, will be chosen?
A.) 0 B.) 4/35 C.) 1/35 D.) 1/3 E.) 1/32
The fluctuation of water depth at a pier is shown in the figure below. One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in the graph. Which value is it?
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