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 does it mean to create a zero pair in the elimination method?

Back

Creating a zero pair means manipulating the equations so that when added together, one variable cancels out, resulting in an equation with only one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you multiply an equation by -1?

Back

To multiply an equation by -1, you change the sign of every term in the equation.

Tags

CCSS.8.EE.C.7A

Front

What is the purpose of multiplying an equation in the elimination method?

Back

Multiplying an equation is used to align coefficients of one variable so that when the equations are added or subtracted, one variable is eliminated.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

If you have the equations 2x - 6y = 20 and 2x + 5y = -11, what do you multiply the first equation by to eliminate x?

Back

You would multiply the first equation by -1.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

In the equations 5x - 4y = 11 and 5x + 4y = -14, which variable will be eliminated?

Back

The variable y will be eliminated.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the result of adding the equations 2x - 6y = 20 and -2x + 6y = -20?

Back

The result is 0 = 0, indicating that the equations are dependent and represent the same line.

Tags

CCSS.8.EE.C.8B

Front

What do you need to multiply the equation 5x - 2y = 11 by to create a zero pair with -10x + 3y = -4?

Back

You need to multiply the first equation by 2.

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 write both equations in standard form, if they are not already.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6