Systems of Equations - Which Method is Best?

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 does it mean to solve a system of equations?

Back

To solve a system of equations means to find 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 the elimination method?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the substitution method?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the equal values method?

Back

The equal values method involves setting two expressions equal to each other when both represent the same variable, allowing for easier solving.

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

When is the substitution method preferred?

Back

The substitution method is preferred when one equation is already solved for one variable or can be easily rearranged.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

When is the equal values method preferred?

Back

The equal values method is preferred when both equations are already solved for the same variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a consistent system of equations?

Back

A consistent system of equations 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 of equations has no solution, meaning the lines are parallel and never intersect.

Tags

CCSS.8.EE.C.8A