20 Questions
What is the definition of a system of nonlinear equations?
A system with at least one equation that is not linear
How are solutions of a nonlinear system defined?
As the ordered pairs that make both equations true
What type of graphs may represent the solutions of systems of nonlinear equations?
Circles, parabolas, or hyperbolas
In a system of nonlinear equations, what can be said about the number of solutions?
There can be more than one solution
What methods can be used to solve systems of nonlinear equations?
Graphing, substitution, and elimination
In a system of nonlinear equations, what do the solutions represent?
The points where the graphs intersect
What is the key difference between systems of linear and nonlinear equations?
Linear equations have only straight-line graphs, while nonlinear equations can have various types of graphs
What is a solution of a system of nonlinear equations?
An ordered pair that makes both equations true
What type of system has at least one equation that is not linear?
System with two or more variables
What type of graphs may represent the solutions of systems of nonlinear equations?
Circles, parabolas, or hyperbolas
What is the key characteristic of a system of nonlinear equations?
They have at least one equation that is not linear
How are solutions of a system of nonlinear equations defined?
As values that satisfy all the equations in the system
In a system of nonlinear equations, what can be said about the number of solutions?
There may be more than one solution
What type of graphs may represent the solutions of systems of nonlinear equations?
Circles, parabolas, or hyperbolas only
What method can be used to solve systems of nonlinear equations?
Graphing, substitution, and elimination
What is a solution of a system of nonlinear equations?
An ordered pair that satisfies all the equations in the system
What type of system has at least one equation that is not linear?
Nonlinear systems
What do the solutions represent in a system of nonlinear equations?
Values that make all the equations true
What is a defining feature of systems of nonlinear equations?
They can have multiple solutions
What distinguishes systems of nonlinear from linear equations in terms of graphs?
Their graphs may not intersect at all
Test your readiness to solve systems of nonlinear equations by graphing, substitution, and elimination. This quiz covers the methods for solving systems of nonlinear equations with two variables.
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