Solve Systems by Inspection

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system by inspection?

Back

To find the solution by substituting values directly into the equations.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to a system of equations?

Back

The point where the equations intersect, representing the values of the variables that satisfy all equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane.

Tags

CCSS.5.G.A.1

Front

What does it mean if a system has no solution?

Back

The lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The equations represent the same line, so there are countless points of intersection.

Tags

CCSS.8.EE.C.8A

Front

How can you check if an ordered pair is a solution to a system?

Back

Substitute the values of the ordered pair into each equation to see if they hold true.

Front

What is the graphical representation of a system of equations?

Back

The graphs of the equations plotted on a coordinate plane.

Tags

CCSS.8.EE.C.8B

Front

What is the significance of the intersection point of two lines?

Back

It represents the solution to the system of equations.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a system to have one solution?

Back

The lines intersect at exactly one point, indicating a unique solution.

Tags

CCSS.8.EE.C.8A