System of Equations Test - Honors

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 is the point(s) where the equations intersect.

Front

What is the substitution method?

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?

Back

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

Front

What does it mean to 'cancel out' in the elimination method?

Back

'Canceling out' refers to the process of eliminating one variable by adding or subtracting equations, resulting in a single equation with one variable.

Front

How do you identify which variable to eliminate?

Back

To identify which variable to eliminate, look for coefficients that can easily be made equal or opposite through multiplication.

Front

What is the graphical method of solving a system of equations?

Back

The graphical method involves graphing each equation on the same coordinate plane and identifying the point(s) of intersection.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the equations intersect at one or more points.

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions, meaning the equations represent parallel lines that never intersect.

Front

What is a dependent system of equations?

Back

A dependent system has infinitely many solutions, meaning the equations represent the same line.

Front

Solve the system using substitution: 2x + 3y = 6 and y = 2. What is (x, y)?

Back

(0, 2)