Algebra 2 SOL Review #1

Front

Solve the equation by factoring: 5x² - 35x + 60 = 0

Back

x = 3, 4

Front

Given the function f(x) = log(x-2), find the domain.

Back

Domain: 2 ≤ x ≤ ∞

Front

Factor x² - 11x - 60

Back

(x - 15)(x + 4)

Front

Identify the function that belongs to the same family as the parent function: (x - 2)²

Back

(x - 2)³

Front

Given the function: f(x) = x³ - 4, what is the domain?

Back

Domain: -∞ ≤ x ≤ ∞

Front

What is the definition of a quadratic function?

Back

A polynomial function of degree 2, in the form f(x) = ax² + bx + c.

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the quadratic formula used for?

Back

To find the roots of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the discriminant tell us about a quadratic equation?

Back

It indicates the nature of the roots: if > 0, two real roots; = 0, one real root; < 0, no real roots.

Front

How do you find the x-intercepts of a function?

Back

Set f(x) = 0 and solve for x.