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 other variable to be solved directly.

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 simplifies the equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What form must both equations be in to use the elimination method effectively?

Back

Both equations should be in standard form (Ax + By = C) to use the elimination method effectively.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you create a zero pair with the elimination method?

Back

To create a zero pair, you can multiply one or both equations by a number that will make the coefficients of one variable opposites.

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 align the equations and determine which variable to eliminate.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

If you have the equations 5x - 2y = 11 and -10x + 3y = -4, what do you multiply the first equation by to create a zero pair for x?

Back

Multiply the first equation by 2.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the resulting equation when combining the equations 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

What do you multiply the equation 2x - 6y = 20 by to create a zero pair with 2x + 5y = -11?

Back

Multiply the first equation by -1.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the result of combining the equations 9x + y = 12 and -9x + y = 6?

Back

The result is 2y = 18.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the purpose of the elimination method?

Back

The purpose of the elimination method is to find the values of the variables in a system of equations by eliminating one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6