NY Regents Algebra II case studies
NY Regents Algebra II · Put your knowledge to work in context.
The Regents Examination in Algebra II is one of the high school Regents exams administered by the New York State Education Department through its Office of State Assessment, whose site navigation lists "Regents Exams" among New York's assessment programs. This page is an independent study resource for students preparing for that exam. It is not affiliated with, endorsed by, or produced by NYSED. Be aware of what could and could not be verified. The NY Regents Algebra II case studies are 5 cases and about 2,559 words.
1Parallel Impedance and the Trap of Adding Magnitudes
An intern at an audio equipment company is combining two speaker drivers in parallel. Each driver is modeled as a complex impedance: Z1 = 3 + 4i ohms and Z2 = 5 - 2i ohms, where the imaginary part represents reactance.
508 words, about 3 min2Concert Ticket Pricing: Vertex, Break-Even, and a Profit Target
The student council is setting the price of a winter concert ticket. A market survey suggests that if the price is x dollars, the profit in dollars is P(x) = -3x^2 + 240x - 1200, where 0 <= x <= 80.
506 words, about 3 min3Rumor Growth: Average Rates, Solving with Logarithms, and the Inverse Model
A high school has 1,200 students. A rumor begins with 12 students who hear it at 8:00 a.m.
515 words, about 3 min4Surveying Across a Ravine: The Ambiguous SSA Case
A surveyor needs the distance BC across a ravine. Standing at B, the surveyor measures BA = 25 m and angle ABC = 35 degrees.
505 words, about 3 min5Breakfast and Tardiness: Conditional Probability, Significance, and Causation
A school counselor surveys 240 students about breakfast and tardiness. Of the 90 students who report eating breakfast at least four mornings a week, 18 have been late to school at least twice this month.
525 words, about 3 min