Systems of eqautions

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 of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression 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 does it mean if a system of equations has no solution?

Back

The equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

How can you graphically represent a system of equations?

Back

By plotting each equation on the same coordinate plane and finding the intersection point(s).

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system with one solution?

Back

Two lines that intersect at a single point.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Two lines that lie on top of each other.

Tags

CCSS.8.EE.C.8A