NC Math 1 EOC Review

Front

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

Back

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

Front

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

Back

The minimum or maximum value of a quadratic function occurs at the vertex. If 'a' (the coefficient of x^2) is positive, the vertex is a minimum; if 'a' is negative, the vertex is a maximum.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

What does it mean for a quadratic equation to have no real solutions?

Back

A quadratic equation has no real solutions when the discriminant (b² - 4ac) is less than zero, indicating that the parabola does not intersect the x-axis.

Front

What is the difference between mean and median?

Back

The mean is the average of a set of numbers, calculated by adding them up and dividing by the count. The median is the middle value when the numbers are arranged in order.

Front

How does adding an outlier affect the mean and median?

Back

Adding an outlier (a value significantly higher or lower than the others) will typically increase or decrease the mean, but the median may remain unchanged if the outlier does not affect the middle value.

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

How do you solve a system of equations using substitution?

Back

To solve by substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, meaning they have no points in common.

Front

How can you determine the slope of a line from its equation?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line. For standard form Ax + By = C, the slope can be found by rearranging to slope-intercept form.