elimination method!!!

Front

What is the elimination method in solving systems of equations?

Back

The elimination method is a technique used to solve systems of linear equations by eliminating one variable, allowing for the solution of the remaining variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you combine two equations in the elimination method?

Back

To combine two equations, you can add or subtract them after multiplying one or both equations by a suitable number to align coefficients of one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a zero pair in the context of the elimination method?

Back

A zero pair occurs when two terms in an equation cancel each other out, resulting in a sum of zero, which helps in eliminating a variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in using the elimination method?

Back

The first step is to arrange the equations in standard form (Ax + By = C) and identify which variable to eliminate.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

When is it necessary to multiply an equation in the elimination method?

Back

It is necessary to multiply an equation when the coefficients of the variable you want to eliminate are not opposites, allowing you to create a zero pair.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to eliminate a variable?

Back

To eliminate a variable means to manipulate the equations so that one variable is removed, allowing for the solution of the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the resulting equation when combining 5x - 4y = 11 and 5x + 4y = -14?

Back

The resulting equation is 10x = -3.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you determine which variable to eliminate in a system of equations?

Back

You can choose to eliminate the variable that has the same or easily manipulable coefficients in both equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the significance of the coefficients in the elimination method?

Back

Coefficients determine how the equations can be manipulated to create zero pairs for variable elimination.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the resulting equation when combining 9x + y = 12 and -9x + y = 6?

Back

The resulting equation is 2y = 18.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6