Essentials Graphing Systems of Equations

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

Back

The two lines are parallel.

Tags

CCSS.8.EE.C.8A

Front

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

Back

No solution.

Tags

CCSS.8.EE.C.8B

Front

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

Back

(6, -2).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

How can you determine if two lines are parallel when given their equations?

Back

If their slopes are equal and their y-intercepts are different.

Tags

CCSS.8.EE.B.6

Front

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

Back

Two intersecting lines.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system of equations with no solution?

Back

Two parallel lines.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system of equations with infinitely many solutions?

Back

Two overlapping lines.

Tags

CCSS.8.EE.C.8A

Front

If the equations of two lines are y = 3x + 1 and y = 3x + 5, how many solutions does the system have?

Back

No solution.

Tags

CCSS.8.EE.C.8B