While I'm waiting for new Regents exams to come along, I revisiting some of the older NY Regents exams.
More Regents problems.
Administered June 2013
Part II: Each correct answer will receive 2 credits. Partial credit is possible.
31 Solve the inequality -5(x - 7) < 15 algebraically for x.
Answer:
(x - 7) > -3
x > 4
Note that you could have used the Distributive Property in the first line, but that would have added an extra step. Also when you divide by a negative number, you flip the direction of the inequality symbol.
One mistake would cost 1 of the 2 credits. Two mistakes score 0. A solution without work is only 1 credit.
32. Oatmeal is packaged in a cylindrical container, as shown in the diagram below.
The diameter of the container is 13 centimeters and its height is 24 centimeters. Determine, in terms of π, the volume of the cylinder, in cubic centimeters.
Answer:
The Volume of a cylinder is V = πr2h
V = π (6.5)2(24) = 1014π
The diameter is 13, so the radius is half that, which is 6.5.
One mistake, such as forgetting to halve the denominator, would cost 1 of the 2 credits. Two mistakes score 0. A solution without work is only 1 credit.
33. The distance from Earth to Mars is 136,000,000 miles. A spaceship travels at 31,000 miles per hour. Determine, to the nearest day, how long it will take the spaceship to reach Mars.
Answer:
Divide the distance (miles) by the speed (miles per hour) to get the number of hours. Divide that by 24 hours/day to get the number of days.
136000000 / 31000 / 24 = 182.79...
The trip would take 183 days.
One mistake, such as forgetting to divide by 24, would cost 1 of the 2 credits. Two mistakes score 0. A solution without any work shown is only 1 credit.
More to come. Comments and questions welcome.
More Regents problems.
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