Algebra 2 Regents June 2022: Questions 25-37 Breakdown

What is the discriminant in the quadratic formula used to determine?

• The product of the roots

• Whether the roots are real or imaginary

• The sum of the roots

• The vertex of the parabola

If the first swing of a child on a swing travels 6 feet and each successive swing travels 80% of the previous swing, what type of sequence is this?

• Harmonic sequence

• Geometric sequence

• Arithmetic sequence

• Fibonacci sequence

In the swing problem, what is the formula used to find the sum of the first n terms of a geometric series?

• a(1 - r^n) / (1 - r)

• a * r^(n-1)

• a * (1 - r^n)

• a / (1 - r)

When solving an algebraic equation involving fractions, what is a common value to look out for?

• Values that make the equation undefined

• Values that make the denominator zero

• Values that make the equation equal to one

• Values that make the numerator zero

What does it mean to factor an expression completely?

• To factor it in one step

• To factor it until no further factoring is possible

• To factor it using only even numbers

• To factor it using only prime numbers

In a relative frequency table, what does it mean if the probability of having blue eyes is equal to the probability of having blue eyes given that you wear glasses?

• The events are independent

• The events are dependent

• The events are mutually exclusive

• The events are complementary

What is the first step in graphing the function 2cos(0.5x) + 5 over the interval from 0 to 2π?

• Set the x minimum to -2π

• Set the y maximum to 5

• Set the y minimum to -5

• Set the x maximum to 2π

What is the purpose of using natural logarithms when solving exponential equations?

• To simplify the base

• To eliminate the exponent

• To convert the equation to a polynomial

• To find the derivative

In the exponential regression problem, what is the base of the exponent in the function f(t)?

• 1.015

• 300

• 169.136

• 0.971

How many solutions are there to the system of equations involving a circle and a line?

• Two

• One

• Three

• Four