Systems of Quadratics / Linear Equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

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

Back

A point is a solution if it satisfies all equations in the system.

Front

How do you determine if a point is a solution to a linear equation?

Back

Substitute the x and y values of the point into the equation. If both sides are equal, it is a solution.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the graphical representation of a quadratic equation?

Back

A parabola on a coordinate plane.

Front

What is the method of substitution in solving systems of equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.

Front

What is the method of elimination in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

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

Back

A system is consistent if it has at least one solution.

Front

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

Back

A system is inconsistent if it has no solutions.

Front

What is a dependent system of equations?

Back

A system where the equations represent the same line, resulting in infinitely many solutions.