Algebra 2 Study Guide for Final Part 2 of 2

Front

What are the values of a, b, and c in the quadratic equation 4x^2 - 8x = 3?

Back

a = 4, b = -8, c = -3

Front

Factor completely: 2x^2 + 22x + 60

Back

2(x + 5)(x + 6)

Front

What is the GCF of 12x + 6?

Back

6(2x + 1)

Front

When graphing an inequality, which line type is used for the symbols < and >?

Back

Dashed line

Front

Rewrite the expression \sqrt[3]{2^5}.

Back

2^{5/3}

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0.

Front

What does the discriminant of a quadratic equation tell us?

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

How do you find the vertex of a parabola in standard form?

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)).

Front

What is the process to complete the square for the equation x^2 + 6x + 5?

Back

Add and subtract (6/2)^2 = 9: (x + 3)^2 - 4.

Front

What is the quadratic formula?

Back

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