Systems of Equations Practice

Front

What is a system of equations?

Back

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

Front

How do you represent the sum of two numbers algebraically?

Back

If x and y are the numbers, their sum is represented as x + y.

Front

How do you represent the difference of two numbers algebraically?

Back

If x and y are the numbers, their difference is represented as x - y.

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

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 a consistent system of equations?

Back

A system that has at least one solution.

Front

What is an inconsistent system of equations?

Back

A system that has no solutions.

Front

What is a dependent system of equations?

Back

A system that has infinitely many solutions, where the equations represent the same line.

Front

If the sum of two numbers is -10 and their difference is -2, what are the equations?

Back

x + y = -10 and x - y = -2.