Solving Systems and Matrices DHS

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 simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is elimination in solving systems of equations?

Back

A method where one equation is manipulated to eliminate one variable, making it easier to solve for the other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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 represented by 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

How do you determine if a system of equations has one solution?

Back

If the lines intersect at exactly one point, the system has one unique solution.

Tags

CCSS.8.EE.C.8A

Front

What is a matrix?

Back

A rectangular array of numbers arranged in rows and columns.

Front

How do you represent a system of equations using matrices?

Back

By creating a coefficient matrix and a constant matrix.

Tags

CCSS.HSA.REI.C.8

Front

What is the coefficient matrix?

Back

A matrix that contains the coefficients of the variables in a system of equations.

Tags

CCSS.HSA.REI.C.8