NYS Algebra 2 Regents Exam Practice: Parts 2-4 Solutions

This video tutorial by Mr. Kraus covers a range of mathematical topics, including calculating the average rate of change, solving complex equations, graphing functions, understanding polynomials and roots, exploring probability and statistics, and calculating half-life. The video also delves into graphing parabolas and understanding their properties. Mr. Kraus provides detailed explanations and encourages students to practice problems before seeking help. The tutorial is designed to enhance problem-solving skills and mathematical understanding.

What is the average rate of change in daylight hours from January 1st to April 1st?

• 2.5 hours per month

• 1.0 hours per month

• 2.0 hours per month

• 1.5 hours per month

What is the lowest common denominator in the rational equation problem?

• 4x(x + 1)

• x + 1

• 2x

• 4x

What is the asymptote for the logarithmic function discussed?

• y = 6

• x = -6

• x = 6

• y = -6

What is the cosine of the angle in the trigonometric problem?

• 24/25

• -24/25

• 7/25

• -7/25

What is the correct exponent rule applied in the exponent problem?

• Add the exponents

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

What is the polynomial obtained after multiplying the quotient and divisor in the polynomial division problem?

• x^3 - x^2 + 7x - 2

• x^3 - x^2 + 7x - 7

• x^3 - x^2 + 7x + 5

• x^3 - x^2 + 7x - 5

What is the 95% confidence interval for Robin's coin flips?

• 0.401 to 0.597

• 0.301 to 0.497

• 0.501 to 0.697

• 0.201 to 0.397

What is the half-life equation used in the half-life problem?

• S(t) = 100 * (1/2)^(t/15)

• S(t) = 200 * (1/2)^(t/10)

• S(t) = 200 * (1/2)^(t/15)

• S(t) = 100 * (1/2)^(t/10)

What is the period of the cosine function in the tire problem?

• 2.0 seconds

• 1.5 seconds

• 3.0 seconds

• 2.5 seconds

What is the vertex of the parabola given its focus and directrix?

• (4, -3)

• (3, -1)

• (4, -1)

• (3, -4)