Choose a Method - Systems of Equations

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What are the three main methods to solve systems of equations?

Back

1. Graphing 2. Substitution 3. Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

When is the substitution method most efficient?

Back

The substitution method is most efficient when one equation is easily solvable for one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

When is the elimination method preferred?

Back

The elimination method is preferred when the coefficients of one variable are the same or can be easily manipulated to be the same.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to graph a system of equations?

Back

Graphing a system of equations means plotting both equations on the same coordinate plane to find their intersection point(s), which represents the solution.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical method of solving systems of equations?

Back

The graphical method involves drawing the lines represented by the equations and identifying their intersection point.

Tags

CCSS.8.EE.C.8B

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

Tags

CCSS.8.EE.C.8A

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions, meaning the lines are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is a dependent system of equations?

Back

A dependent system has infinitely many solutions, meaning the equations represent the same line.

Tags

CCSS.8.EE.C.8B