Systems of Equations and Inequalities Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

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

Back

A point is a solution if it satisfies all equations in the system.

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the lines intersect on a graph.

Front

What is an inequality?

Back

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

Front

How do you graph a linear inequality?

Back

Graph the corresponding equation as a line, then shade the appropriate region based on the inequality.

Front

What does a dashed line indicate in graphing inequalities?

Back

A dashed line indicates that points on the line are not included in the solution set.

Front

What does a solid line indicate in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality; if the statement is true, it is a solution.

Front

What is the substitution method for solving systems of equations?

Back

Replace one variable with an expression from another equation to solve for the remaining variable.

Front

What is the elimination method for solving systems of equations?

Back

Add or subtract equations to eliminate one variable, making it easier to solve for the other.