
Systems of Equations Graphically
Flashcard
•
Mathematics
•
12th Grade
•
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 for two lines to intersect on a graph?
Back
It means that the lines have a common solution, which is the point where they meet.
3.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
It is the visual depiction of the equations on a coordinate plane, showing their relationships.
4.
FLASHCARD QUESTION
Front
What does it indicate if two lines are parallel in a system of equations?
Back
It indicates that there is no solution, as the lines will never intersect.
5.
FLASHCARD QUESTION
Front
What is the significance of the point of intersection in a system of equations?
Back
It represents the solution to the system, where the values of the variables satisfy all equations.
6.
FLASHCARD QUESTION
Front
How can you determine the number of solutions in a system of equations graphically?
Back
By analyzing the positions of the lines: intersecting lines have one solution, parallel lines have no solution, and coincident lines have infinitely many solutions.
7.
FLASHCARD QUESTION
Front
What is the solution to the system of equations y = 2x + 1 and y = -x + 4?
Back
(1, 3) is the solution, where the two lines intersect.
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