Systems

Front

What is a system of equations?

Back

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

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What is the elimination method?

Back

A technique for solving systems of equations by removing one variable, allowing for easier solving.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What is a solution to a system of equations?

Back

A set of values for the variables that makes all equations true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if a system has no solution?

Back

The equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

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

Tags

CCSS.8.EE.C.8A

Front

How can you identify the solution graphically?

Back

By finding the point where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What is a consistent system?

Back

A system that has at least one solution.

Tags

CCSS.8.EE.C.8B

Front

What is an inconsistent system?

Back

A system that has no solutions.

Tags

CCSS.8.EE.C.8B

Front

What is a dependent system?

Back

A system where the equations represent the same line, resulting in infinitely many solutions.

Tags

CCSS.8.EE.C.8B