Nonlinear Systems
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a nonlinear system?
Back
A nonlinear system is a system of equations in which at least one equation is not linear, meaning it cannot be represented as a straight line on a graph.
Tags
CCSS.HSA.REI.C.7
2.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to a nonlinear system?
Back
A point is a solution to a nonlinear system if it satisfies all equations in the system when substituted into them.
Tags
CCSS.HSA.REI.C.7
3.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a nonlinear system?
Back
To determine if a point is a solution, substitute the x and y values of the point into each equation of the system and check if the equations hold true.
Tags
CCSS.HSA.REI.C.7
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a nonlinear system?
Back
The graphical representation of a nonlinear system consists of curves or other shapes that intersect at points, which represent the solutions to the system.
Tags
CCSS.HSA.REI.C.7
5.
FLASHCARD QUESTION
Front
What does it mean if a nonlinear system has no solution?
Back
If a nonlinear system has no solution, it means that the graphs of the equations do not intersect at any point.
Tags
CCSS.HSA.REI.C.7
6.
FLASHCARD QUESTION
Front
What is the significance of intersection points in a nonlinear system?
Back
Intersection points in a nonlinear system represent the solutions to the system, where the equations are satisfied simultaneously.
Tags
CCSS.HSA.REI.C.7
7.
FLASHCARD QUESTION
Front
What is a common method for solving nonlinear systems?
Back
A common method for solving nonlinear systems is graphing, where the equations are plotted, and the intersection points are identified.
Tags
CCSS.HSA.REI.C.7
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