NC Math 1 EOC Review

Front

What is the vertex of a quadratic equation and how is it found?

Back

The vertex of a quadratic equation in the form y = ax^2 + bx + c is found using the formula x = -b/(2a). The y-coordinate can be found by substituting this x value back into the equation.

Front

What does the slope of a line represent in a linear equation?

Back

The slope of a line in a linear equation (y = mx + b) represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

How do you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if each input (x-value) is associated with exactly one output (y-value). No x-value can repeat with a different y-value.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. In the equation y = mx + b, 'b' represents the y-intercept.

Front

What is a trapezoid and how can it be identified?

Back

A trapezoid is a quadrilateral with at least one pair of parallel sides. It can be identified by comparing the slopes of its sides.

Front

What does the term 'parallel lines' mean in geometry?

Back

Parallel lines are lines in a plane that never meet and are always the same distance apart. They have the same slope.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: Area = (1/2) * (base1 + base2) * height.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the minimum or maximum value of a quadratic function?

Back

The minimum or maximum value of a quadratic function occurs at the vertex. Use the vertex formula x = -b/(2a) to find the x-coordinate, then substitute it back into the function.

Front

What is the difference between a rectangle and a square?

Back

A rectangle is a quadrilateral with opposite sides equal and all angles right angles. A square is a special type of rectangle where all four sides are equal.