NC MATH 3 EOC REVIEW 1

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a given set, known as the domain.

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

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the point where the parabola changes direction, and it can be found using the formula (-b/(2a), f(-b/(2a))) for a quadratic function in standard form.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

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): a² + b² = c².

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a system of equations?

Back

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

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the variable that is manipulated or changed, while the dependent variable is the variable that is measured or affected.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables raised to non-negative integer powers and coefficients, such as 2x² + 3x + 5.