Algebra 2 Regents Review Insights

The video tutorial covers a range of topics in Algebra 2, including solving systems of equations, using calculators effectively, factoring and simplifying expressions, graphing and analyzing functions, understanding probability and statistics, and exploring exponential and logarithmic functions. The instructor provides detailed explanations and tips for each topic, emphasizing the importance of practice and understanding key concepts. The session concludes with encouragement and final thoughts on preparing for exams.

What is the first step in solving the system of equations y + 3 = x and y = x^2 + 4x - 1?

• Solve y = x^2 + 4x - 1 for y

• Solve y + 3 = x for y

• Solve y + 3 = x for x

• Solve y = x^2 + 4x - 1 for x

What is the correct factorization of x^2 + 3x + 2?

• (x + 1)(x + 2)

• (x - 1)(x - 2)

• (x + 2)(x - 1)

• (x - 1)(x + 2)

If you solve a problem using a calculator but show no work, how many points can you get for a 2-point question?

• 1 point

• 0 points

• 3 points

• 2 points

Which of the following functions represents exponential decay?

• y = 0.5^x

• y = 2^x + 3

• y = 4^x + 5

• y = 1.4^x + 2

What is the probability that Nick oversleeps and has a pop quiz if the probabilities are 48% and 25% respectively?

• 0.48

• 0.60

• 0.25

• 0.12

What is the result of dividing 12 by 100?

• 0.012

• 12%

• 1.2

• 0.12

If x minus 1 is a factor of a polynomial, what does it imply about the roots?

• x = 1

• x = 0

• x = -1

• x = 2

How do you calculate the profit function?

• Cost - Revenue

• Revenue - Cost

• Revenue + Cost

• Revenue * Cost

What is the formula for continuous population growth?

• A = Pe^(rt)

• A = P(1 - r)^t

• A = P(1 + r)^t

• A = P(1 + r/n)^(nt)

What is the inverse of the function y = x^3 - 2?

• y = ³√(x - 2)

• y = ³√(x + 2)

• y = (x - 2)^3

• y = (x + 2)^3