4.11 - Nonlinear Systems
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
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 of the equations is not linear, meaning it cannot be graphed as a straight line.
Tags
CCSS.HSA.REI.C.7
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have a solution?
Back
A solution to a system of equations is a set of values that satisfy all equations in the system simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
How can you identify the solution to a system of nonlinear equations graphically?
Back
The solution can be identified as the points where the graphs of the equations intersect.
Tags
CCSS.HSA.REI.C.7
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means that the graphs of the equations do not intersect at any point, indicating that there are no values that satisfy all equations.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What is the significance of the point (1, 5) in a nonlinear system?
Back
The point (1, 5) is a potential solution that must be tested against the equations in the system to determine if it satisfies them.
Tags
CCSS.HSA.REI.C.7
6.
FLASHCARD QUESTION
Front
What is the difference between a unique solution and infinitely many solutions in a system?
Back
A unique solution means there is exactly one set of values that satisfies the system, while infinitely many solutions mean there are countless sets of values that satisfy the system.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a nonlinear system?
Back
Substitute the coordinates of the point into each equation of the system. If all equations are satisfied, the point is a solution.
Tags
CCSS.HSA.REI.C.7
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