System of Equations Review Test

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 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 infinite solutions?

Back

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

Front

How do you find the solution to 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 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 is the elimination method in 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 solution to the system of equations: -4x - 2y = -12 and 4x + 8y = -24?

Back

(6, -6)

Front

What is the solution to the system of equations: -6x + 5y = 1 and 6x + 4y = -10?

Back

(-1, -1)

Front

What is the solution to the system of equations: 5x - 4y = -16 and x + 2y = -6?

Back

(-4, -1)

Front

What does it mean if two equations in a system represent the same line?

Back

It means there are infinite solutions to the system.