Systems: Number of Solutions

Flashcard
•
Mathematics
•
9th 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 two or more linear equations with the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean if two lines in a graph are parallel?
Back
They have the same slope but different y-intercepts, meaning they will never intersect.
3.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The point(s) where the graphs of the equations intersect.
4.
FLASHCARD QUESTION
Front
What does it indicate if a system of equations has one solution?
Back
The lines intersect at exactly one point.
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
The equations represent the same line, meaning they overlap completely.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a system with no solution?
Back
Two parallel lines that never intersect.
7.
FLASHCARD QUESTION
Front
How can you determine the number of solutions in a system of equations?
Back
By analyzing the slopes and y-intercepts of the lines represented by the equations.
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