High School Math based on the topics required for the Regents Exam conducted by NYSED.

The following are the worked solutions for the Algebra 2 (Common Core) Regents High School Examination August 2019.

**Related Pages**

Regents Exam Past Papers

Algebra 2 Regents New York State Exam Questions August 2019 (pdf)

**Algebra 2 Regents Exam August 2019 Part 1 (Solutions 1 - 24)**

**Algebra 2 Regents Exam August 2019 Part 2 (Solutions 25 - 37)**

- When the expression (x + 2)
^{2}+ 4(x + 2) + 3 is rewritten as the product of two binomials, the result is - The first term of a geometric sequence is 8 and the fourth term is
- What is the sum of the first 12 terms of the corresponding series?
- Perry invested in property that cost him $1500. Five years later it was worth $3000, and 10 years from his original purchase, it was worth $6000. Assuming the growth rate remains the same, which type of function could he create to find the value of his investment 30 years from his original purchase?
- If (a
^{3}+ 27) + (a + 3)(a^{2}+ ma + 9), then m equals - If cos θ = 3/4 and θ is in Quadrant III, then sin θ is equivalent to
- A veterinary pharmaceutical company plans to test a new drug to treat a common intestinal infection among puppies. The puppies are randomly assigned to two equal groups. Half of the puppies will receive the drug, and the other half will receive a placebo. The veterinarians monitor the puppies. This is an example of which study method?
- The expression
- Which description could represent the graph of
- After Roger’s surgery, his doctor administered pain medication in the computations. following amounts in milligrams over four days.
- The expression
- If f(x) is an even function, which function must also be even?
- The average monthly temperature of a city can be modeled by a cosine graph. Melissa has been living in Phoenix, Arizona, where the average annual temperature is 75°F. She would like to move, and live in a location where the average annual temperature is 62°F. When examining the graphs of the average monthly temperatures for various locations, Melissa should focus on the
- Consider the probability statements regarding events A and B below
- Given y > 0
- What is the solution set of the equation
- What are the solution(s) to the system of equations shown below?
- If $5000 is put into a savings account that pays 3.5% interest compounded monthly, how much money, to the nearest ten cents, would be in that account after 6 years, assuming no money was added or withdrawn?
- The Fahrenheit temperature, F(t), of a heated object at time t, in minutes, can be modeled by the function below. Fs is the surrounding temperature, F0 is the initial temperature of the object, and k is a constant.
- The mean intelligence quotient (IQ) score is 100, with a standard computations. deviation of 15, and the scores are normally distributed. Given this information, the approximate percentage of the population with an IQ greater than 130 is closest to
- After examining the functions f(x) = ln(x + 2) and g(x) = e
^{x-1}over the interval (-2,3], Lexi determined that the correct number of solutions to the equation f(x) = g(x) is - Evan graphed a cubic function, f(x) = ax
^{3}+ bx^{2}+ cx + d, and determined the roots of f(x) to be ±1 and 2. What is the value of b, - The equation t
- What is the inverse of
- A study of black bears in the Adirondacks reveals that their
population can be represented by the function P(t) = 3500(1.025)
^{t}, where t is the number of years since the study began. Which function is correctly rewritten to reveal the monthly growth rate of the black bear population?

- At Andrew Jackson High School, students are only allowed to enroll in AP U.S. History if they have already taken AP World History or AP European History. Out of 825 incoming seniors, 165 took AP World History, 66 took AP European History, and 33 took both. Given this information, determine the probability a randomly selected incoming senior is allowed to enroll in AP U.S. History.
- Explain what a rational exponent
- Write
- A person’s lung capacity can be modeled by the function
- Determine for which polynomial(s) (x + 2) is a factor. Explain your answer.
- On July 21, 2016, the water level in Puget Sound, WA reached a high of 10.1 ft at 6 a.m. and a low of -2 ft at 12:30 p.m. Across the country in Long Island, NY, Shinnecock Bay’s water level reached a high of 2.5 ft at 10:42 p.m. and a low of -0.1 ft at 5:31 a.m. The water levels of both locations are affected by the tides and can be modeled by sinusoidal functions. Determine the difference in amplitudes, in feet, for these two locations.
- Write a recursive formula
- Sketch the graphs of
- A population of 950 bacteria grows continuously at a rate of 4.75% per day. Write an exponential function, N(t), that represents the bacterial population after t days and explain the reason for your choice of base.
- Write an equation for a sine function with an amplitude of 2 and a period of
- Mary bought a pack of candy. The manufacturer claims that 30% of the candies manufactured are red. In her pack, 14 of the 60 candies are red. She ran a simulation of 300 samples, assuming the manufacturer is correct. The results are shown below.
- Algebraically determine the roots, in simplest a bi form, to the equation below.
- The Beaufort Wind Scale was devised by British Rear Admiral Sir Francis Beaufort, in 1805 based upon observations of the effects of the wind.

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