Regents Review Algebra

Front

What is the value of 'c' to complete the square in the expression x² + 6x + ____?

Back

9

Front

Identify a, b, and c in the quadratic equation -8x² + x + 7 = 0.

Back

a = -8, b = 1, c = 7

Front

What are the zeros of the function if the solutions are x = 0 and x = 4?

Back

x = 0 and x = 4

Front

Using the zero product property, solve the equation (x - 9)(x + 3) = 0.

Back

x = 9 or x = -3

Front

Factor the expression x² - 5x - 14.

Back

(x + 2)(x - 7)

Front

What is the formula for completing the square?

Back

(x + b/2)² - (b/2)² + c

Front

What does the term 'quadratic' refer to in mathematics?

Back

A polynomial of degree 2.

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0

Front

What is the discriminant in a quadratic equation and how is it calculated?

Back

b² - 4ac

Front

What does it mean if the discriminant is positive?

Back

The quadratic has two distinct real roots.