System of Linear and Nonlinear Equations
Flashcard
•
Mathematics
•
11th Grade
•
Hard
+6
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A system of linear equations is a collection of one or more linear equations involving 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 a system of nonlinear equations?
Back
A system of nonlinear equations is a set of equations where at least one equation is nonlinear. Solutions may not be unique and can include curves or surfaces.
Tags
CCSS.HSA.REI.C.7
3.
FLASHCARD QUESTION
Front
How do you find the intersection of two equations?
Back
To find the intersection, solve the equations simultaneously to find the values of the variables that satisfy both equations.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
A system has no solution if the equations represent parallel lines (in the case of linear equations) that never intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
A linear equation can be represented graphically as a straight line on a coordinate plane.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a quadratic equation?
Back
A quadratic equation is represented graphically as a parabola, which can open upwards or downwards.
Tags
CCSS.HSF-IF.C.7A
7.
FLASHCARD QUESTION
Front
What is the method of substitution in solving systems of equations?
Back
The method of substitution involves solving one equation for one variable and substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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