Graphing Systems of Equations

Front

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

Back

The two lines intersect at one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

They have no solutions because they never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two lines in a system of equations are the same line?

Back

There are infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

How do you determine if an ordered pair is a solution to a system of equations?

Back

Substitute the values into both equations and check if they hold true.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection point(s) of the lines on a graph.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations y = 2x + 1 and y = -x + 4?

Back

(1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How can you solve a system of equations by graphing?

Back

Graph both equations on the same coordinate plane and identify the intersection point.

Tags

CCSS.8.EE.C.8B

Front

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

Back

The lines are parallel and do not intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations y = 3x - 2 and y = 2x + 1?

Back

(3, 7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the slope of the line represented by the equation y = 1/2x + 3?

Back

1/2

Tags

CCSS.8.EE.B.5