One Solution, No Solution, Many Solutions

Front

What is meant by 'One Solution' in a system of equations?

Back

A system of equations has 'One Solution' when the graphs of the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

What does 'No Solution' indicate in a system of equations?

Back

'No Solution' means that the equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does 'Infinitely Many Solutions' mean in a system of equations?

Back

'Infinitely Many Solutions' occurs when the equations represent the same line, meaning every point on the line is a solution.

Tags

CCSS.8.EE.C.8B

Front

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

Back

A point is a solution if its (x,y) coordinates satisfy both equations in the system.

Front

What is the solution to the equation: -2x + 9 + 6x = -3x + 2?

Back

One Solution.

Front

What is the solution to the equation: -4(3x + 2) = 3(-4x + 5)?

Back

No Solution.

Tags

CCSS.8.EE.C.7A

Front

How many solutions does the system of equations have if they are identical?

Back

Infinitely Many Solutions.

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 exactly one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

Two overlapping lines that are the same.

Tags

CCSS.8.EE.C.8A