UNIT 6 System of Equations Flashcard #2

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How do you determine the solution of a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is the substitution method for solving systems of equations?

Back

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

Front

What is the elimination method for solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) of a function.

Front

How do you find the range of a linear function?

Back

Identify the minimum and maximum values of the function based on its domain.

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x; it indicates how steep the line is.