Types of Solutions from Systems of Equations

Front

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

Back

No solution, One solution, Infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

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

Back

The (x,y) coordinates satisfy both equations.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines coincide, meaning they are the same line.

Tags

CCSS.8.EE.C.8A

Front

What is the slope of the linear equation: y = -5x + 6?

Back

-5

Tags

CCSS.8.EE.B.5

Front

What is an ordered pair in the context of systems of equations?

Back

A pair of numbers (x, y) that represents a point on the graph.

Tags

CCSS.8.EE.C.8A

Front

What is the solution of a system of equations?

Back

The ordered pair that satisfies all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How can you graphically represent a system of equations?

Back

By plotting the lines of each equation on the same coordinate plane.

Tags

CCSS.8.EE.C.8B

Front

What is the significance of the intersection point of two lines in a system of equations?

Back

It represents the solution to the system.

Tags

CCSS.8.EE.C.8B