One Solution, No Solution, Infinite Solutions

Front

What are the three types of solutions for a system of equations?

Back

One Solution, No Solution, Infinite Solutions.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to have 'No Solution'?

Back

It means that the equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have 'One Solution'?

Back

It means that the equations represent lines that intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have 'Infinite Solutions'?

Back

It means that the equations represent the same line, so every point on the line is a solution.

Tags

CCSS.8.EE.C.8B

Front

How can you determine if a system of equations has 'No Solution'?

Back

If the equations are inconsistent, such as having the same slope but different y-intercepts.

Tags

CCSS.8.EE.C.8A

Front

How can you determine if a system of equations has 'One Solution'?

Back

If the equations have different slopes, indicating they will intersect at one point.

Tags

CCSS.8.EE.C.8A

Front

How can you determine if a system of equations has 'Infinite Solutions'?

Back

If the equations are equivalent, meaning they can be transformed into each other.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system with 'No Solution'?

Back

Two parallel lines that do not intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system with 'One Solution'?

Back

Two lines that intersect at a single point.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system with 'Infinite Solutions'?

Back

Two overlapping lines that lie on top of each other.

Tags

CCSS.8.EE.C.8A