Regents Exam: Algebra I August 2016 (Problem 36 of 37)

The video tutorial explains how Janice solves a quadratic equation using a student's method. The process involves substituting a variable B for 8X, simplifying the equation, factoring it, and then solving for B. Finally, the solution for X is obtained by substituting back the value of B. The tutorial also provides a detailed explanation of the student's method, highlighting the simplification and substitution steps that lead to the final solution.

What is the first step Janice takes in solving the quadratic equation?

• She substitutes a variable for X.

• She graphs the equation.

• She factors the equation directly.

• She uses the quadratic formula.

What property is used to solve for the substituted variable?

• Distributive Property

• Associative Property

• Commutative Property

• Zero Product Property

After solving for the substituted variable, what is the next step?

• Use the quadratic formula.

• Check the solutions in the original equation.

• Substitute back to find X.

• Graph the solutions.

How does the student simplify the quadratic equation?

• By substituting and factoring.

• By graphing the equation.

• By using the quadratic formula.

• By completing the square.

What is the final solution for X in the quadratic equation?

• X = -3/8 and X = 1/8

• X = 3 and X = -1

• X = -3 and X = 1

• X = 3/8 and X = -1/8