Algebra 2 SOL Review #1

Front

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

Back

(x - 15)(x + 4)

Front

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

Back

-∞ ≤ x ≤ ∞

Front

Factor the expression: x^3 - 125

Back

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

Front

What is the domain of the function f(x) = log(x - 2)?

Back

2 ≤ x ≤ ∞

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_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + 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 rational and an irrational number?

Back

A rational number can be expressed as a fraction a/b where a and b are integers and b ≠ 0. An irrational number cannot be expressed as a simple fraction.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a), used to find the roots of the quadratic equation ax^2 + bx + c = 0.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements, meaning f(a) = f(b) implies a = b.

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.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a^2 - b^2 = (a - b)(a + b).