
System of Equations Graphs
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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16 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 no solution?
Back
The lines representing the equations are parallel and never intersect.
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinite solutions?
Back
The lines representing the equations are the same line, meaning they overlap completely.
4.
FLASHCARD QUESTION
Front
How can you determine the number of solutions in a system of equations?
Back
By analyzing the graphs of the equations: if they intersect at one point, there is one solution; if they are parallel, there is no solution; if they are the same line, there are infinite solutions.
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations: y = 2x + 1 and y = 2x - 3?
Back
No Solution (the lines are parallel).
6.
FLASHCARD QUESTION
Front
What is the solution to the system of equations: y = x + 2 and y = -x + 4?
Back
One Solution: (1, 3).
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
It is represented by the graphs of the equations on the same coordinate plane.
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