NYS Algebra 2 August 2017 Regents Exam Solutions

What is the first step in performing synthetic division on the polynomial 4x^3 + 9x - 5 divided by 2x - 1?

• Subtract the coefficients

• Set 2x - 1 equal to zero

• Add the coefficients

• Multiply the coefficients

What is the inverse of the function f(x) = (x + 1) / (x - 2)?

• f^(-1)(x) = (x + 2) / (x - 1)

• f^(-1)(x) = (2x - 1) / (x + 1)

• f^(-1)(x) = (1 + 2x) / (x - 1)

• f^(-1)(x) = (x - 1) / (x + 2)

Which expression has been correctly rewritten to form a true statement?

• x^2 + 4x + 4 + 2x + 4 - 8 = x^2 + 2x

• x^2 + 4x + 4 + 2x + 4 - 8 = x^2 + 6x

• x^2 + 4x + 4 + 2x + 4 - 8 = x^2 + 8x

• x^2 + 4x + 4 + 2x + 4 - 8 = x^2 + 4x

What is the margin of error formula used in the video?

• z-score times the square root of P times (1 + P) divided by 2n

• z-score times the square root of P times (1 - P) divided by n

• z-score times the square root of P times (1 - P) divided by 2n

• z-score times the square root of P times (1 + P) divided by n

Which scenario is best described as an observational study?

• Gathering data from 15 school districts on attendance and grades

• Dividing students into two classes for an experiment

• Asking every tenth student if they eat breakfast

• Distributing a questionnaire about physical activity

Which sinusoid has the greatest amplitude?

• Amplitude of 5

• Amplitude of 2

• Amplitude of 4

• Amplitude of 3

What are the solutions of the system of equations if they do not intersect?

• Real and irrational

• Imaginary

• Real and rational

• No solution

Which binomial is not a factor of the expression x^3 - 11x^2 + 16x + 84?

• x + 4

• x + 2

• x - 6

• x - 7

What is the total downward distance traveled by a ball dropped from a height of 32 feet, rebounding 80% of the height each time, up to the 12th bounce?

• 148.004 feet

• 150.004 feet

• 149.004 feet

• 147.004 feet

Which expression correctly represents the amount of money in the account after n years, given an initial deposit of $1000 and an additional $750 deposited annually?

• A(n) = 1000 * (1.018)^(n-1) + 750

• A(n) = 1000 * (1.018)^n + 750

• A(n) = 1000 * (1.018)^(n-1) + 750n

• A(n) = 1000 * (1.018)^n + 750n