Math 1 EOC Review

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution set is the region where the graphs of the inequalities overlap.

Front

How do you determine the solution set of a system of inequalities on a coordinate grid?

Back

To determine the solution set, graph each inequality on the coordinate grid and identify the region where the shaded areas overlap.

Front

What is the formula for the height of an object in free fall?

Back

The formula is h(t) = -16t² + vt + h₀, where v is the initial velocity and h₀ is the initial height.

Front

What does the vertex of a parabola represent in a height function?

Back

The vertex represents the maximum or minimum height of the object, depending on the direction of the parabola.

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, which can affect statistical measures like the mean.

Front

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

Back

Removing an outlier typically increases the mean if the outlier is lower than the other values, and decreases the mean if the outlier is higher.

Front

What is the formula for the perimeter of a triangle given its vertices?

Back

The perimeter is calculated by finding the distance between each pair of vertices and summing those distances.

Front

How do you calculate the distance between two points (x₁, y₁) and (x₂, y₂)?

Back

Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²).

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, representing the value of y when x = 0.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.