Algebra 2 Regents June 2023: Key Concepts and Problem Solving

What is one method to minimize bias when gathering a sample for a survey?

• Survey only students in the library

• Survey every student entering the campus

• Ask students to volunteer for the survey

• Pick random names from a list of students

When solving the equation algebraically, what is the first step after identifying a square root?

• Add the same value to both sides

• Take the natural log of both sides

• Square both sides of the equation

• Subtract the same value from both sides

How can you determine if a population modeled by an exponential function is increasing?

• Check if the base of the exponent is greater than 1

• Check if the coefficient is negative

• Check if the base of the exponent is between 0 and 1

• Check if the exponent is a negative number

What is the recursive formula for a geometric sequence where each term is one-third of the previous term?

• a_n = a_1 * (1/3)^(n-1)

• a_n = a_(n-1) / 3

• a_n = a_1 + (n-1) * (1/3)

• a_n = a_(n-1) * 3

In a confidence interval calculation, what does it mean if a sample proportion falls within the interval?

• The sample proportion is too low

• The sample proportion is too high

• The sample proportion is reasonable

• The sample proportion is likely incorrect

What is the probability that a randomly selected donor was categorized as a supporter given that the donation was made online?

• 0.250

• 0.600

• 0.500

• 0.373

How can you verify if being a supporter is independent of donating online?

• By calculating the average donation amount.

• By checking if the probability of being a supporter given donating online equals the probability of being a supporter.

• By checking if the total number of supporters is greater than the total number of donors.

• By comparing the number of online donations to offline donations.

What is the most straightforward method to solve a system of equations involving a circle and a line?

• Matrix method

• Graphing

• Substitution

• Elimination

Which formula is used for continuous growth in population modeling?

• A = P(1 + r)^T

• A = P(1 - r)^T

• A = Pe^(rt)

• A = P(1 + rt)

How many times do the functions n(t) and e(t) intersect during the five-second interval?

• 4 times

• 3 times

• 2 times

• 5 times