Algebra 2 Regents August 2022: Key Concepts and Problem Solving

The video tutorial covers various topics from the August 2022 Algebra 2 Regents exam, focusing on the free response section. It includes calculating the average rate of change, factoring techniques, solving algebraic equations, and modeling exponential growth using logarithms. The tutorial provides step-by-step solutions and emphasizes the importance of verifying solutions.

What is the average rate of change between T=2 hours and T=4 hours?

• 10 miles per hour

• 20 miles per hour

• 30 miles per hour

• 40 miles per hour

When factoring by grouping, what should you do if you see the same binomial factor in both groups?

• Divide it by 2

• Multiply it by 2

• Factor it out

• Ignore it

What is the correct solution for the equation after squaring both sides and simplifying: 4x + 1 = 121 - 22x + x^2?

• x = 20 and x = 6

• x = 10 and x = 5

• x = 15 and x = 3

• x = 12 and x = 4

What is the value of n if y^(17/8) * y^(-4) / y^(5/4) * y^(-4) = y^n?

• 5/2

• -5/2

• 7/2

• -7/2

In which quadrant is angle A located if cos(A) = 3/√10 and cot(A) = -3?

• Quadrant III

• Quadrant II

• Quadrant IV

• Quadrant I

What is the approximate number of babies weighing more than 4 kilograms if the average weight is 3.39 kg with a standard deviation of 0.55 kg and 9256 babies were born?

• 2000

• 1500

• 1000

• 1237

What is the probability that a person is female given they prefer classic rock?

• 0.5000

• 0.4615

• 0.6000

• 0.5488

What is the function P(t) for the population of bacteria doubling every 20 minutes with an initial value of 11,000?

• P(t) = 11,000 * 2^(t/10)

• P(t) = 11,000 * 2^(t/20)

• P(t) = 11,000 * 2^(t/30)

• P(t) = 11,000 * 2^(t/40)

What is the maximum volume of the solid modeled by the function V(x) = x(3-x)(x+4) from x=0 to x=3?

• 11.5 cubic inches

• 13.5 cubic inches

• 12.6 cubic inches

• 10.5 cubic inches

What is the quotient when dividing f(x) = 3x^3 - 4x^2 + 2x - 1 by g(x) = x - 4 using synthetic division?

• 3x^2 - 8x - 34

• 3x^2 + 8x + 34

• 3x^2 - 8x + 34

• 3x^2 + 8x - 34