Solving System of Equations by Graphing

Flashcard
•
Mathematics
•
8th 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 that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations by graphing?
Back
It means to find the point(s) where the graphs of the equations intersect, which represents the solution(s) to the system.
3.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The values of the variables that satisfy all equations in the system simultaneously.
4.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of equations?
Back
Substitute the point's coordinates into each equation; if all equations are satisfied, it is a solution.
5.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a system of equations?
Back
It means there is no solution to the system, as the lines never intersect.
6.
FLASHCARD QUESTION
Front
What does it mean if two lines coincide in a system of equations?
Back
It means there are infinitely many solutions, as the lines overlap completely.
7.
FLASHCARD QUESTION
Front
What is the graphical representation of the equation y = 2x + 1?
Back
A straight line with a slope of 2 and a y-intercept of 1.
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