NC MATH 3 EOC REVIEW 6

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Define a function. Give an example.

Back

A function is a relation that assigns exactly one output for each input. Example: f(x) = 2x + 3 is a function.

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 slope in a linear equation.

Back

The slope of a linear equation represents the rate of change of the dependent variable with respect to the independent variable. It is calculated as the rise over run (change in y over change in x).

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

Define the term 'asymptote'.

Back

An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.

Front

What is the difference between independent and dependent variables?

Back

An independent variable is the variable that is changed or controlled in an experiment, while a dependent variable is the variable that is measured or affected.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

Front

Explain the concept of a function's domain and range.

Back

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

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables raised to whole number powers and coefficients. Example: 3x² + 2x - 5.