Algebra 2 TN EOC Review Assignment (Fall 2024)

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Define 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, where m and b are constants, and its graph is a straight line. A quadratic function has the form f(x) = ax² + bx + c, where a ≠ 0, and its graph is a parabola.

Front

Explain the concept of a function's domain.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

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

Back

For a quadratic function in standard form f(x) = ax² + bx + c, the vertex can be found using the formula x = -b/(2a) and then substituting this x-value back into the function to find the corresponding y-value.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant, given by D = b² - 4ac, determines the nature of the roots of the quadratic equation: if D > 0, there are two distinct real roots; if D = 0, there is one real root; if D < 0, there are no real roots.

Front

Define a rational function.

Back

A rational function is a function that can be expressed as the ratio of two polynomials, in the form f(x) = P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) ≠ 0.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations in the system.

Front

How do you solve a system of linear equations using substitution?

Back

To solve a system of linear equations using substitution, solve one equation for one variable and then substitute that expression into the other equation.