Algebra 2 Regents June 2023: Key Concepts and Problem Solving

During which period was the average rate of change in population the greatest?

• 1890 to 1970

• 1850 to 1910

• 1950 to 1970

• 1990 to 2010

Which expression is NOT equivalent to (6x^3 - 5y^2)(6x^3 + 5y^2)?

• (6x^3 - 5y^2)(6x^3 + 5y^2)

• 36x^12 - 25y^4

• 3(2x^3 - 5y^2)(2x^3 + 5y^2)

• 36x^6 - 25y^4

What is the numerical value of tangent θ if the terminal side passes through the point (-2, -3)?

• -2/3

• 3/2

• -3/2

• 2/3

What is the simplified form of a * a^(4/5)?

• a^(5/4)

• a^(5/9)

• a^(9/5)

• a^(4/5)

Which function has the characteristic that as x approaches negative infinity, f(x) also approaches negative infinity?

• y = -log_5(x)

• y = 5 * 4^(-x)

• y = -log_5(-x)

• y = 5 * 4^x

What is the rounded value of 1.767957 to three decimal places?

• 1.769

• 1.767

• 1.768

• 1.766

How many months are there from January 1st, 2015 to June 1st, 2018?

• 36 months

• 41 months

• 45 months

• 39 months

Which of the following represents the law of exponents correctly?

• a^(b/c) = a^b / a^c

• a^(b-c) = a^b / a^c

• a^(b*c) = (a^b)^c

• a^(b+c) = a^b * a^c

What is the mean height of students at Central High School?

• 68.1 inches

• 71.5 inches

• 75 inches

• 64.7 inches

Approximately what percent of students have a height less than 60 inches or greater than 75 inches?

• 5%

• 2.98%

• 3.4%

• 2.5%