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 solution to a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

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

Back

An inconsistent system has no solutions.

Front

What is the graphical representation of a linear inequality?

Back

A region of the coordinate plane that is shaded to show all possible solutions.

Front

What does the symbol '≤' mean in an inequality?

Back

It means 'less than or equal to'.

Front

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

Back

Substitute the point's coordinates into each equation; if both equations are true, the point is a solution.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line, and every point on the line is a solution.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

What is a linear inequality?

Back

An inequality that involves a linear expression, such as y < mx + b.