Systems of Equation Word Problems Lesson

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations graphically?

Back

It means to plot the equations on a graph and identify the point(s) where they intersect, which represents the solution.

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

How do you find the price of items using a system of equations?

Back

Set up equations based on the information given (e.g., total sales) and solve for the variables representing the prices.

Front

What is the first step in solving a word problem involving systems of equations?

Back

Identify the variables and what they represent in the context of the problem.

Front

How can you check the solution of a system of equations?

Back

Substitute the solution back into the original equations to see if they hold true.