4. Elimination Method
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
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 other variable.
2.
FLASHCARD QUESTION
Front
What does it mean to create a zero pair in the elimination method?
Back
Creating a zero pair means adjusting the coefficients of one variable in the equations so that when added together, they cancel each other out, resulting in zero.
3.
FLASHCARD QUESTION
Front
In the equation 5x - 4y = 11 and 5x + 4y = -14, which variable is eliminated?
Back
The variable y is eliminated.
4.
FLASHCARD QUESTION
Front
What is the first step in using the elimination method?
Back
The first step is to manipulate the equations to align the coefficients of one variable for elimination.
5.
FLASHCARD QUESTION
Front
How do you create a zero pair for the equations 2x - 6y = 20 and 2x + 5y = -11?
Back
Multiply the second equation by -1 to create a zero pair for the 2x terms.
6.
FLASHCARD QUESTION
Front
What is the resulting equation when combining 5x - 4y = 11 and 5x + 4y = -14?
Back
The resulting equation is 10x = -3.
7.
FLASHCARD QUESTION
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 at a time.
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