Systems of Linear and Nonlinear Equations

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

What is the solution to the systems of equations shown in the graph?

• one solution

• 2 solutions

• infinite solutions

• no solution

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

The ordered pair(s) that satisfies all equations in a system.

• system of equations

• function

• graph

• solution to the system

What kind of lines have no solution to a system of equations

• Parallell Lines

• Overlapping lines

• Intersecting Lines

• Perpendicular Lines

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

What are the solutions to the graphed system?

• (0,-2) and (3,2)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

A system that contains one linear function and one quadratic function can have 0, 1, or 2 solutions.

• True

• False

• Cannot be determined

What would the solution be to this system of linear equations?

• (0,0)

• (2,2)

• (6,0)

• (0,4)