Algebra 2 Unit 4B Review OL

Front

Solve the equation 5h^2 + 3h + 3 = 0.

Back

h = (-3 ± i\sqrt{51}) / 10

Front

Solve x^2 + x - 20 = 0.

Back

x = -5 and 4

Front

Solve the equation by factoring: x^2 + 2x - 8 = 0.

Back

x = -4, 2

Front

Simplify (8 - 4i)(2 - 6i).

Back

-8 - 56i

Front

What is the value of k when completing the square for 0 = x^2 + 8x - 33 into (x + 4)^2 + k?

Back

k = -49

Front

Define a quadratic equation.

Back

A quadratic equation is a polynomial equation of the form ax^2 + bx + c = 0, where a ≠ 0.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).

Front

Explain the process of completing the square.

Back

Completing the square involves rewriting a quadratic in the form (x - p)^2 = q to find its roots.

Front

What does it mean for an equation to be factored?

Back

Factoring an equation means expressing it as a product of its linear factors.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b^2 - 4ac and determines the nature of the roots.