Systems of Equations: Choose Best Method

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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 a system of equations to have one solution?

Back

The lines representing the equations intersect at exactly one point.

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CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

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CCSS.8.EE.C.8A

Front

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

Back

The lines representing the equations coincide, meaning they are the same line.

Tags

CCSS.8.EE.C.8A

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that value into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the equal values method?

Back

A method for solving systems of equations by setting the two equations equal to each other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you determine the best method to solve a system of equations?

Back

Consider the structure of the equations; use substitution for easier equations and elimination for equations that align well.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the graph of intersecting lines represent?

Back

It represents a system of equations with one unique solution.

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CCSS.8.EE.C.8A

Front

What does the graph of parallel lines represent?

Back

It represents a system of equations with no solution.

Tags

CCSS.8.EE.C.8A