Solving Systems of Equations: Graphing and Substitution

Front

What is the solution to a system of equations?

Back

Any ordered pair that makes both equations true.

Tags

CCSS.HSA.REI.C.9

Front

Why do parallel lines never intersect?

Back

Because they have the same slope.

Tags

CCSS.8.EE.B.6

Front

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

Back

The lines representing the equations are parallel.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines representing the equations are the same line.

Tags

CCSS.8.EE.C.8A

Front

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

Back

If they have the same slope.

Tags

CCSS.8.EE.B.6

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and then substituted into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphing method in solving systems of equations?

Back

A method where both equations are graphed on the same coordinate plane to find their intersection point.

Tags

CCSS.8.EE.C.8B

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 for two lines to intersect?

Back

They cross at a point, which is the solution to the system of equations.

Tags

CCSS.8.EE.C.8A

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.

Tags

CCSS.8.EE.B.5