System of Equations
Flashcard
•
Mathematics
•
8th 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 when two equations have the same slope but different y-intercepts?
Back
The system has no solution because the lines are parallel.
3.
FLASHCARD QUESTION
Front
What is the result when two equations are exactly the same?
Back
The system has infinitely many solutions because the lines overlap.
4.
FLASHCARD QUESTION
Front
What does it mean when two lines intersect at one point?
Back
The system has one solution, which is the point of intersection.
5.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has no solution?
Back
If the equations represent parallel lines with the same slope but different y-intercepts.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a system with infinitely many solutions?
Back
Two overlapping lines on a graph.
7.
FLASHCARD QUESTION
Front
What is the solution to the system of equations y = 4x - 10 and y = 3x - 5?
Back
(5, 10) is the point where the two lines intersect.
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