Algebra 2 Concepts and Applications

This video tutorial covers problems 1 to 5 from the Algebra 2 Common Core Regents exam for spring 2015. It includes solving a cubic function problem using roots and graph orientation, finding the equation of a parabola using focus and directrix, calculating sine using the Pythagorean theorem, converting annual growth rate to monthly growth rate, and using properties of rational exponents to solve equations. The tutorial provides step-by-step solutions and tips for each problem, along with additional resources for practice.

What is the main focus of the Algebra 2 Common Core Regents Exam for Spring 2015?

• Statistics problems

• Geometry problems

• Algebra problems

• Calculus problems

In problem 1, what is the first step to find the roots of the polynomial?

• Integrate the polynomial

• Differentiate the polynomial

• Set the polynomial equal to zero

• Set the polynomial equal to one

What does a double root indicate in a polynomial graph?

• The graph has no x-intercepts

• The graph has a single x-intercept

• The graph has a vertex at the x-intercept

• The graph is a straight line

In problem 2, what determines the direction in which a parabola opens?

• The constant term

• The coefficient of the squared term

• The unsquared variable

• The squared variable

What is the vertex of the parabola in problem 2?

• (0, 2)

• (0, 5)

• (0, 3)

• (0, 4)

In problem 3, what is the hypotenuse in a right triangle?

• The shortest side

• The longest side

• The side opposite the smallest angle

• The side adjacent to the largest angle

What is the sine of angle Theta in problem 3?

• 3/4

• 3/5

• 5/3

• 4/5

In problem 4, how is an annual growth rate model expressed in monthly terms?

• By multiplying the rate by 12

• By dividing the rate by 12

• By raising the rate to the power of 1/12

• By subtracting 12 from the rate

What is the adjusted monthly growth rate in problem 4?

• 1.012

• 1.02

• 1.001

• 1.16

In problem 5, what is the first step in simplifying the expression?

• Convert all terms to radicals

• Convert all terms to rational exponents

• Add all exponents

• Subtract all exponents