Math 1 EOC Review

Front

What is the formula to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

What is an outlier in a data set?

Back

An outlier is a value that is significantly higher or lower than the other values in a data set.

Front

How does removing an outlier affect the mean of a data set?

Back

Removing an outlier can increase or decrease the mean, depending on whether the outlier is above or below the mean.

Front

What is the maximum value of a quadratic function in the form f(x) = ax^2 + bx + c when a < 0?

Back

The maximum value occurs at the vertex, which can be found using x = -b/(2a).

Front

What is the area of a rectangle?

Back

Area = length × width.

Front

How do you determine the area of a polygon given its vertices on a coordinate plane?

Back

Use the shoelace formula: Area = 0.5 * |Σ(xi*yi+1 - xi+1*yi)|, where (xi, yi) are the vertices.

Front

What is the difference between a maximum and a minimum in a function?

Back

A maximum is the highest point on the graph, while a minimum is the lowest point.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if the output values fall.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.