Lesson 17-5: Classifying Systems of Equations (12/9)
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
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 if a system of equations has one solution?
Back
The lines representing the equations intersect at exactly one point.
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
The lines representing the equations are parallel and never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
The lines representing the equations coincide, meaning they are the same line.
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of equations?
Back
Substitute the point into each equation; if it satisfies all equations, it is a solution.
6.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
A method that involves adding or subtracting equations to eliminate one variable.
7.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
A method where one equation is solved for one variable, which is then substituted into the other equation.
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