Solving Systems by Elimination

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•
Mathematics
•
8th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations by elimination?
Back
It means to eliminate one variable by adding or subtracting the equations to find the value of the other variable.
3.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by elimination?
Back
Align the equations so that like terms are in the same column.
4.
FLASHCARD QUESTION
Front
How do you eliminate a variable in a system of equations?
Back
You can multiply one or both equations by a number to make the coefficients of one variable opposites, then add or subtract the equations.
5.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The point where the graphs of the equations intersect, representing the values of the variables that satisfy all equations.
6.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
A method for solving systems of equations by removing one variable to solve for the other.
7.
FLASHCARD QUESTION
Front
When is a system of equations considered inconsistent?
Back
When there is no solution, meaning the lines are parallel and never intersect.
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