Solving System of Nonlinear Equations - UNIT TEST 3

Front

What is a system of nonlinear equations?

Back

A system that involves at least one non-linear equation.

Front

Which ordered pair(s) is a solution to the given system? (5,0), (1,-3), (3,3), (2,1)

Back

(5,0) is the solution.

Front

David sells nachos for $1.50 each and sodas for $0.50 each. He made $78.50 from selling a total of 87 items. What system of equations represents this situation?

Back

1.5x + 0.5y = 78.5 and x + y = 87.

Front

How do you solve a system of nonlinear equations graphically?

Back

By finding points of intersection of their graphs.

Front

Alexandra can give 3 haircuts and 2 hair dyes in 315 minutes. What system of equations represents this situation?

Back

3x + 2y = 315 and 2x + 4y = 450.

Front

What is a linear equation?

Back

An equation that graphs to a straight line.

Front

What is a nonlinear equation?

Back

An equation that does not graph to a straight line.

Front

What does it mean for a system of equations to be consistent?

Back

It has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

It has no solutions.

Front

What is the graphical method of solving equations?

Back

Plotting the equations on a graph and finding their intersection points.