Nonlinear Systems
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+3
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 expressed in the form y = mx + b.
Tags
CCSS.HSA.REI.C.7
2.
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 equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
How do you identify the solution to a system of nonlinear equations graphically?
Back
The solution is the point(s) where the graphs of the equations intersect.
Tags
CCSS.HSA.REI.C.7
4.
FLASHCARD QUESTION
Front
What is the first step in solving the system: y = x^2 + 3x - 5 and y = x + 3?
Back
Set the equations equal to each other: x^2 + 3x - 5 = x + 3.
Tags
CCSS.HSA.REI.C.7
5.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant (b^2 - 4ac) determines the nature of the roots: if positive, two real solutions; if zero, one real solution; if negative, no real solutions.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A consistent system has at least one solution, meaning the equations intersect at one or more points.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the graphical representation of the equation y = x^2?
Back
The graph is a parabola that opens upwards with its vertex at the origin (0,0).
Tags
CCSS.HSF-IF.C.7A
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