12/13/24 Classwork - Elimination Method

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•
Mathematics
•
9th - 12th Grade
•
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 remaining variable.
2.
FLASHCARD QUESTION
Front
How do you create a zero pair in the Elimination Method?
Back
To create a zero pair, you multiply one of the equations by a number that will make the coefficients of one of the variables opposites.
3.
FLASHCARD QUESTION
Front
What is the first step in using the Elimination Method?
Back
The first step is to align the equations and decide which variable to eliminate by making the coefficients of that variable opposites.
4.
FLASHCARD QUESTION
Front
Solve the system using elimination: 2x + 3y = 6 and 4x + 6y = 12.
Back
The system has no unique solution; it represents the same line.
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means the lines represented by the equations are parallel and will never intersect.
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means the equations represent the same line, and there are an infinite number of points that satisfy both equations.
7.
FLASHCARD QUESTION
Front
Solve the system using elimination: 3x + 2y = 12 and 6x + 4y = 24.
Back
The system has no unique solution; it represents the same line.
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