Nonlinear Systems
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Wayground Content
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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 is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
3.
FLASHCARD QUESTION
Front
How do you find the intersection of two curves?
Back
To find the intersection of two curves, set the equations equal to each other and solve for the variable.
Tags
CCSS.HSA.REI.C.7
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
A system of equations has no solution if the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
7.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is the part of the quadratic formula under the square root, b² - 4ac, which determines the nature of the roots.
Tags
CCSS.HSA-REI.B.4B
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