Systems of Equations Practice

Front

What is a system of equations?

Back

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

Front

What does it mean if a system of linear equations has one solution?

Back

The lines represented by the equations intersect at exactly one point.

Front

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

Back

The lines represented by the equations are parallel and never intersect.

Front

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

Back

The lines represented by the equations are the same line, overlapping each other.

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate a variable.

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the graphing method?

Back

A method for solving systems of equations by graphing the equations on the same coordinate plane and identifying the point of intersection.

Front

What is the difference between consistent and inconsistent systems?

Back

Consistent systems have at least one solution; inconsistent systems have no solutions.

Front

What is a dependent system?

Back

A system of equations that has infinitely many solutions, where the equations represent the same line.

Front

What is an independent system?

Back

A system of equations that has exactly one solution, where the lines intersect at one point.