Review Solving Systems of Linear Equations & 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 it mean if a system of equations has one solution?

Back

It means the lines intersect at exactly one point.

Front

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

Back

It means the lines are parallel and never intersect.

Front

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

Back

It means the lines coincide, or are the same line.

Front

What is the graphical representation of a linear inequality?

Back

A shaded region on one side of a boundary line.

Front

What does the symbol '>' indicate in a linear inequality?

Back

It indicates that the values on one side of the inequality are greater than those on the other side.

Front

What does the symbol '≥' indicate in a linear inequality?

Back

It indicates that the values on one side of the inequality are greater than or equal to those on the other side.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

How do you solve a system of equations using elimination?

Back

Add or subtract the equations to eliminate one variable, then solve for the remaining variable.

Front

What is the boundary line of a linear inequality?

Back

The line that represents the equation of the inequality, which can be solid or dashed.