ALL Systems Review!

Front

What is a system of equations?

Back

A set of two or more equations that have the same variables.

Front

What does the solution of a system of linear equations represent?

Back

The intersection of the two equations on a graph.

Front

How many animals are in the barn if there are 15 animals total and 44 legs?

Back

The system of equations is x + y = 15 and 4x + 2y = 44, where x is horses and y is chickens.

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

What is the y-intercept in a linear equation?

Back

The value of y when x is 0.

Front

What is the slope (m) in a linear equation?

Back

The rate of change of y with respect to x.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has one solution?

Back

The lines representing the equations intersect at exactly one point.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

What is substitution in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other equation.