Algebra 2 Common Core Regents Exam - June 2022 (solutions, examples, worksheets, videos, activities) (2024)

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 June 2022.

Algebra 2 Common Core Regents New York State Exam - June 2022, Questions 1 - 37

The following are questions from the past paper
Regents High School Algebra 2, June 2022 Exam (pdf).
Download the questions and try them, then scroll down the page to check your answers with the step by step solutions.

Algebra 2 - June 2022 Regents - Solutions for Questions 1 - 24

• Solutions for Questions 25 - 37

1. For all positive values of x, which expression is equivalent to x^3/4
2. Mrs. Favata’s statistics class wants to conduct a survey to see howstudents feel about changing the school mascot’s name. Which plan isthe best process for gathering an appropriate sample?
3. Given
4. In a group of 40 people, 20 have brown hair, 22 have blue eyes, and 15 have both brown hair and blue eyes. How many people have neither brown hair nor blue eyes?
5. Consider the function y = h(x), defined by the graph below.
6. For the polynomial p(x), if p(3) = 0, it can be concluded that
7. The solution to the equation 5e^{x + 2} = 7 is
8. Consider the system of equations below
9. Monthly mortgage payments can be found using the formula below,where M is the monthly payment, P is the amount borrowed, r is theannual interest rate, and n is the total number of monthly payments.
10. For all real values of x, if f(x) = (x - 3)² and g(x) = (x + 3)², what isf(x) - g(x)?
11. If f(t)
12. Consider the graph of g and the table representing t below
13. A parabola has a directrix of y = 3 and a vertex at (2,1). Which orderedpair is the focus of the parabola?
14. The heights of the 3300 students at Oceanview High School areapproximately normally distributed with a mean of 65.5 inches and astandard deviation of 2.9 inches. The number of students at Oceanviewwho are between 64 and 68 inches tall is closest to
15. Which statement below about the graph of f(x) = -log(x + 4) + 2 istrue?
16. A researcher wants to determine if room-darkening shades causepeople to sleep longer. Which method of data collection is mostappropriate?
17. The inverse of f(x)
18. The expression
19. An angle, θ, is rotated counterclockwise on the unit circle, with itsterminal side in the second quadrant, as shown in the diagram below
20. The depth of the water, d(t), in feet, on a given day at Thunder Bay,
21. A function is defined
22. Which function has a maximum y-value of 4 and a midline of y = 1?
23. Which expression is equivalent to
24. The growth of a $500 investment can be modeled by the functionP(t) = 500(1.03)^t, where t represents time in years. In terms of themonthly rate of growth, the value of the investment can be bestapproximated by

25. Does the equation x² - 4x + 13 = 0 have imaginary solutions? Justify your answer
26. The initial push of a child on a swing causes the swing to travel a total of 6 feet. Each successiveswing travels 80% of the distance of the previous swing. Determine the total distance, to thenearest hundredth of a foot, a child travels in the first five swings.
27. Solve algebraically for n:
28. Factor completely over the set of integers:
29. The relative frequency table shows the proportion of a population who have a given eye color andthe proportion of the same population who wear glasses.
30. For x ≠ 0 and y ≠ 0
31. Graph y =
32. A cup of coffee is left out on a countertop to cool. The table below represents the temperature,F(t), in degrees Fahrenheit, of the coffee after it is left out for t minutes
33. On the set of axes below, graph y = f(x) and y = g(x) for the given functions.
34. A Foucault pendulum can be used to demonstrate that the Earth rotates. The time, t, in seconds,that it takes for one swing or period of the pendulum can be modeled by the equation t
35. In order to decrease the percentage of its residents who drive to work, a large city launches acampaign to encourage people to use public transportation instead. Before starting the campaign,the city’s Department of Transportation uses census data to estimate that 65% of its residents driveto work. The Department of Transportation conducts a simulation, shown below, run 400 timesbased on this estimate. Each dot represents the proportion of 200 randomly selected residentswho drive to work.
36. Solve the system of equations algebraically:
37. The population, in millions of people, of the United States can be represented by the recursiveformula below, where a0 represents the population in 1910 and n represents the number of yearssince 1910.

Try the free Mathway calculator andproblem solver below to practice various math topics. Try the given examples, or type in your ownproblem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.