High School Math based on the topics required for the Regents Exam conducted by NYSED.

The following are the worked solutions for the Algebra 2 (Common Core) Regents High School Examination January 2020.

**Related Pages**

Regents Exam Past Papers

Algebra 2 Regents New York State Exam Questions January 2020 (pdf)

**Algebra 2 Regents Exam Jan. 2020 Part 1 (Solutions 1 - 9)**

**Algebra 2 Regents Exam Jan. 2020 Part 2 (Solutions 10 - 18)**

**Algebra 2 Regents Exam Jan. 2020 Part 3 (Solutions 19 - 24)**

- The expression 4√(81x
^{8}y^{6}is equivalent to - Chet has $1200 invested in a bank account modeled by the function
P(n) = 1200(1.002)
^{n}, where P(n) is the value of his account, in dollars, after n months. Chet’s debt is modeled by the function Q(n) = 100n, where Q(n) is the value of debt, in dollars, after n months. After n months, which function represents Chet’s net worth, R(n)? - Emmeline is working on one side of a polynomial identity proof used to form Pythagorean triples. Her work is shown below:
- Susan won $2,000 and invested it into an account with an annual interest rate of 3.2%. If her investment were compounded monthly, which expression best represents the value of her investment after t years?
- Consider the end behavior description below
- The expression (x + a)
^{2}+ 5(x + a) + 4 is equivalent to - Given x ≠ -2, the expression
- Which situation best describes conditional probability?
- Which expression is not a solution to the equation 2
^{t}= √10? - What is the solution set of x = √(3x + 40)?
- Consider the data in the table below

What is the probability that a randomly selected person is male given the person is left handed? - The function N(x) = 90(0.86)
^{x}+ 69 can be used to predict the temperature of a cup of hot chocolate in degrees Fahrenheit after x minutes. What is the approximate average rate of change of the temperature of the hot chocolate, in degrees per minute, over the interval [0, 6]? - A recursive formula for the sequence 40, 30, 22.5, … is
- The J & B candy company claims that 45% of the candies it produces are blue, 30% are brown, and 25% are yellow. Each bag holds 65 candies. A simulation was run 200 times, each of sample size 65, based on the premise that 45% of the candies are blue. The results of the simulation are shown below
- Which investigation technique is most often used to determine if a single variable has an impact on a given population?
- As θ increases from - π/2 to 0 radians, the value of cos θ will
- Consider the following patterns:
- Consider the system below
- Which statement regarding polynomials and their zeros is true?
- If a solution of 2(2x - 1) = 5x
^{2}is expressed in simplest a + bi form, the value of b is - Which value, to the nearest tenth, is the smallest solution of f(x) = g(x)
if f(x) = 3sin(1/2 x) - 1 and g(x) = x
^{3}- 2x + 1? - Expressed in simplest a + bi form, (7 - 3i) + (x - 2i)
^{2}- (4i + 2x^{2}) is - Written in simplest form, the fraction
- According to a study, 45% of Americans have type O blood. If a random number generator produces three-digit values from 000 to 999, which values would represent those having type O blood?

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