Systems of Equations (Graphing)

Front

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

Back

The two lines are the same line.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations represented by the lines y = x - 2 and y = 3x - 4?

Back

(1, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations represented by the lines y = 2x + 1 and y = -x + 5?

Back

(6, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Tags

CCSS.8.EE.C.8B

Front

Is (4, 1) a solution for the system of equations y = -x + 5 and y = 2x - 7?

Back

Yes.

Front

What are the characteristics of parallel lines in a system of equations?

Back

They have no solutions.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines intersect at a single point?

Back

The system has one unique solution.

Tags

CCSS.8.EE.C.8B

Front

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

Back

Plug the x and y values into both equations; if both are true, it's a solution.

Front

What is the graphical representation of a system with no solutions?

Back

Two parallel lines.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system with exactly one solution?

Back

Two intersecting lines.

Tags

CCSS.8.EE.C.8A