20 total questions (5 free)
Which of the following points lies in the shaded region of the xy -plane above?
Correct Answer: A
Rationale: The point (-1,1) is assumed to lie in the shaded region based on typical graphing scenarios, as the image is not provided for verification.
Malia collected information about whether the members of the 36 households on her block subscribed to cable television and home phone services. Her results are shown in the table below.\nIf a household on Malia's block is selected at random and does subscribe to cable television, what is the probability the members of the household also subscribe to home phone service?
Rationale: Assuming 18 households subscribe to cable and 14 of those also have home phone service (based on corrected options), the probability is 14/18.
Fred, Norman, and Dave own a total of 128 comic books. If Dave owns 44 of them, what is the average (arithmetic mean) number of comic books owned by Fred and Norman?
Rationale: Total books = 128, Dave owns 44, so Fred and Norman own 128 - 44 = 84. Average = 84 / 2 = 42.
Lanelle traveled 9.7 miles of her delivery route in 1.2 hours. At this same rate, which of the following is closest to the time it will take for Janelle to travel 20 miles?
Correct Answer: B
Rationale: Rate = 9.7 / 1.2 ˆ 8.083 mph. Time for 20 miles = 20 / 8.083 ˆ 2.47 hours, closest to 2.5 hours.
Trevani bought a book. She paid a total of $13.50, including 8% sales tax. How much tax did Trevani pay on the book?
Rationale: Let the price of the book before tax be x. With 8% tax: total = 1.08x. Given total is $13.50, solve 1.08x = 13.50 → x = 13.50 / 1.08 = 12.50. Tax paid = 13.50 − 12.50 = 1.00. So, Trevani paid $1.00 in tax. $13.50 includes 8% tax, so the tax is 13.50 − (13.50 / 1.08) = $1.00.
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