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 eliminate a variable in a system of equations?

Back

To remove one variable by adding or subtracting equations, making it easier to solve for the remaining variable.

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 substitution method?

Back

A method for solving systems of equations where one equation is solved for one variable, and that expression is substituted into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphing method?

Back

A method for solving systems of equations by graphing the equations on a coordinate plane and finding the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

Front

What is a solution to a system of equations?

Back

A set of values for the variables that makes all equations in the system true.

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 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 the standard form of a linear equation?

Back

An equation written as Ax + By = C, where A, B, and C are integers.

Front

How do you identify which variable to eliminate?

Back

Look for variables with opposite coefficients in the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6