Solving Systems by Graphing and Substitution

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

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

Back

It means that the point satisfies all equations in the system.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the substitution method in 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 does it mean if two lines intersect at a point on a graph?

Back

It means that the system of equations has a unique solution at that point.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution, while a dashed line indicates they are not.

Front

What does shading above a line in a graph indicate?

Back

It indicates that the solutions to the inequality are above the line.

Front

What does shading below a line in a graph indicate?

Back

It indicates that the solutions to the inequality are below the line.

Front

What is an infinite number of solutions in a system of equations?

Back

It occurs when the equations represent the same line, meaning every point on the line is a solution.