Algebra 2 SOL Review #1

Front

What is the domain of the function f(x) = x^3 - 4?

Back

-∞ ≤ x ≤ ∞

Front

Factor the expression x^2 - 11x - 60.

Back

(x - 15)(x + 4)

Front

Solve the equation by factoring: 5x^2 - 35x + 60 = 0.

Back

x = 3, 4

Front

Factor the expression x^3 - 125.

Back

(x - 5)(x^2 + 5x + 25)

Front

What is the definition of a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where a_n, a_{n-1}, ..., a_0 are constants and n is a non-negative integer.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has the form f(x) = mx + b, while a quadratic function has the form f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary parentheses.

Front

What is the zero product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.