FM 3.5 Solving Systems of Equations by Elimination

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Mathematics
•
8th - 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 involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
2.
FLASHCARD QUESTION
Front
What does it mean if two equations have infinite solutions?
Back
Infinite solutions occur when the equations represent the same line, meaning every point on the line is a solution.
3.
FLASHCARD QUESTION
Front
What is the first step in the elimination method?
Back
The first step is to manipulate the equations (by multiplying or adding) to align coefficients of one variable for elimination.
4.
FLASHCARD QUESTION
Front
What does it mean if two equations have no solution?
Back
No solution occurs when the equations represent parallel lines that never intersect.
5.
FLASHCARD QUESTION
Front
How do you determine which equation to multiply in the elimination method?
Back
Choose the equation that will allow you to easily eliminate a variable by matching coefficients with the other equation.
6.
FLASHCARD QUESTION
Front
What is the result of multiplying an equation by zero?
Back
Multiplying an equation by zero results in a trivial equation (0=0), which does not provide any useful information.
7.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables that are solved together.
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