Systems Solutions

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The lines representing the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines representing the equations are the same line, meaning they overlap completely.

Tags

CCSS.8.EE.C.8A

Front

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

Back

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

Front

What is the graphical representation of a system of equations?

Back

The graphical representation consists of lines on a coordinate plane.

Tags

CCSS.8.EE.C.8B

Front

What are intersecting lines in the context of systems of equations?

Back

Lines that cross at one point, indicating a unique solution.

Tags

CCSS.8.EE.C.8A

Front

What are parallel lines in the context of systems of equations?

Back

Lines that never meet, indicating no solution.

Tags

CCSS.8.EE.C.8A

Front

What are skew lines?

Back

Lines that do not intersect and are not parallel, existing in different planes.

Tags

CCSS.HSG.CO.A.1

Front

How do you find the solution to a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B