INTRO Systems of Linear Equations

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A set of 2 or more equations that have the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has one solution?
Back
The two lines represented by the equations intersect at one point.
3.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has no solution?
Back
The lines are parallel and never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has infinitely many solutions?
Back
The lines are the same line, meaning they overlap completely.
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations: y = 2x + 1 and y = -x + 4?
Back
(1, 3)
6.
FLASHCARD QUESTION
Front
How can you determine if a system of linear equations is consistent?
Back
If it has at least one solution, it is consistent.
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of linear equations?
Back
It is represented by lines on a coordinate plane.
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