Math 1 EL Unit 4 Test Systems

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously.

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that make all equations in the system true.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation of a system of equations is the point(s) where the graphs of the equations intersect. Each intersection point represents a solution to the system.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Front

What is a consistent system of equations?

Back

A consistent system of equations has at least one solution. It can be either independent (one solution) or dependent (infinitely many solutions).

Front

What is an inconsistent system of equations?

Back

An inconsistent system of equations has no solution. This occurs when the equations represent parallel lines that never intersect.

Front

How do you represent a system of equations algebraically?

Back

Front

Back

Front

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

Back

If a system of equations has infinitely many solutions, it means that the equations represent the same line, and any point on that line is a solution.