Systems of Equations REVIEW

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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 is graphing in the context of systems of equations?

Back

A method of solving systems by plotting the equations on a graph and finding the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

Front

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

Back

The lines representing the equations are parallel and 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

What is a unique solution in a system of equations?

Back

A single point where the graphs of the equations intersect, representing the values of the variables.

Tags

CCSS.8.EE.C.8A

Front

What is the difference between consistent and inconsistent systems?

Back

Consistent systems have at least one solution, while inconsistent systems have no solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the best method to solve the system: y = 2x + 3 and y = -x + 1?

Back

Graphing, substitution, or elimination can be used; substitution is often easiest here.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6