Review Systems of Linear Equations and Inequalities

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does the solution to a system of linear equations represent on a graph?

Back

The point of intersection of the lines.

Front

How can you determine if a point is a solution to a system of linear equations?

Back

Substitute the point into each equation; if it satisfies all equations, it is a solution.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the graph of a linear inequality represent?

Back

The region of the graph that satisfies the inequality.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (< or >) does not include the boundary line, while a non-strict inequality (≤ or ≥) does.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you find the slope of a line given two points?

Back

Front

What does it mean for two lines to be parallel?

Back

They have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Their slopes are negative reciprocals of each other.