EOC Category #2 Review

Front

What is a solution set in a system of inequalities?

Back

A solution set is the set of all points (x, y) that satisfy all inequalities in the system.

Front

Define the term 'ordered pair'.

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a two-dimensional space, where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

Front

What does it mean for a point to be a solution to a system of equations?

Back

A point is a solution to a system of equations if it satisfies all equations in the system when substituted into them.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if it satisfies all inequalities, it is a solution.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the formula for calculating the average rate of change between two points?

Back

Front

What does the inequality y ≤ 3x represent graphically?

Back

It represents all points on or below the line y = 3x in the coordinate plane.

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, indicating the value of y when x = 0.

Front

How can you identify the x-coordinate from a system of equations?

Back

To find the x-coordinate, solve one of the equations for x, or use substitution or elimination methods.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.