System of Linear and Nonlinear Equations
Flashcard
•
Mathematics
•
11th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
Define a system of linear equations.
Back
A system of linear equations is a collection of two or more linear equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation in two variables?
Back
The graphical representation of a linear equation in two variables is a straight line on a Cartesian plane.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
A system of equations has no solution when the lines representing the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The solution to a system of equations is the point(s) where the graphs of the equations intersect.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
Define a nonlinear equation.
Back
A nonlinear equation is an equation that does not form a straight line when graphed, often involving variables raised to a power other than one or involving products of variables.
Tags
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
What is the significance of the point of intersection in a system of equations?
Back
The point of intersection represents the values of the variables that satisfy all equations in the system.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
How do you determine if a system of equations is consistent or inconsistent?
Back
A system is consistent if it has at least one solution (intersecting lines) and inconsistent if it has no solutions (parallel lines).
Tags
CCSS.8.EE.C.8A
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