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: 5x - 4y = -16 and x + 2y = -6?

Back

(-4, -1)

Front

What is the solution to the system of equations graphed below if it intersects at (-2, 1)?

Back

One Solution: (-2, 1)

Front

What is the solution to the system of equations graphed below if the lines are parallel?

Back

No Solution

Front

What is the solution to the system of equations: 2x + 3y = 6 and 4x + 6y = 12?

Back

Infinite Solutions