Algebra 2 Review

Front

Write the expression in radical form: x^(3/4)

Back

∜x^3

Front

Rationalize the denominator: \frac{2\sqrt{8}}{\sqrt{12}}

Back

\frac{2\sqrt{6}}{3}

Front

If the discriminant is negative, then the quadratic has:

Back

2 Complex Solutions

Front

Factor: x^2 – 5x – 24

Back

(x - 8)(x + 3)

Front

Solve: 8x^2 - 6x + 1 = 0

Back

0.25 or 0.5

Front

What is the definition of a quadratic equation?

Back

An equation of the form ax^2 + bx + c = 0, where a ≠ 0.

Front

What does the discriminant tell us about the roots of a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: positive (2 real solutions), zero (1 real solution), negative (2 complex solutions).

Front

What is the process of factoring a quadratic expression?

Back

Finding two binomials that multiply to give the original quadratic expression.

Front

What is the formula for the quadratic formula?

Back

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Front

What is the definition of rationalizing the denominator?

Back

The process of eliminating a radical from the denominator of a fraction.