Systems Of Equations by Graphing

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 for two lines to intersect?

Back

It means they have a common solution, which is the point where they meet on a graph.

Tags

CCSS.8.EE.C.8A

Front

How can you find the solution to a system of equations by graphing?

Back

By plotting both equations on the same graph and identifying the point of intersection.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system of equations y = 3x - 8 and y = 4 - x?

Back

(3, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution, as the lines never intersect.

Tags

CCSS.8.EE.C.8B

Front

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

Back

No solution.

Tags

CCSS.8.EE.C.8B

Front

What is the y-intercept of the equation y = 4 - x?

Back

4, which is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine if a system of equations has one solution, no solution, or infinitely many solutions?

Back

By analyzing the slopes and y-intercepts of the lines represented by the equations.

Tags

CCSS.8.EE.C.8B

Front

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

Back

(2, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Tags

CCSS.8.EE.C.8A