Solving Systems by Graphing
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the solution to the system of equations represented by the point where the graphs intersect?
Back
The solution is the ordered pair where the two graphs cross, indicating the values that satisfy both equations.
2.
FLASHCARD QUESTION
Front
What does the graph of a system of equations with no solution look like?
Back
The graph consists of parallel lines that never intersect.
3.
FLASHCARD QUESTION
Front
What is an ordered pair in the context of solving systems of equations?
Back
An ordered pair is a pair of numbers (x, y) that represents a point on the graph, indicating the solution to the system.
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means that the equations represent the same line, and every point on that line is a solution.
5.
FLASHCARD QUESTION
Front
What is the definition of a system of equations?
Back
A system of equations is a set of two or more equations with the same variables.
6.
FLASHCARD QUESTION
Front
How do you determine the solution to a system of equations by graphing?
Back
You graph both equations on the same coordinate plane and identify the point(s) where they intersect.
7.
FLASHCARD QUESTION
Front
What is the significance of the intersection point in a graph of a system of equations?
Back
The intersection point represents the solution to the system, where both equations are satisfied.
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