Front

What is a system of equations?

Back

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

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 elimination method in solving systems of equations?

Back

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

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 a word problem in mathematics?

Back

A problem that presents a mathematical situation in the form of a narrative or real-life scenario.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations.

Front

What is the first step in solving a system of equations using elimination?

Back

Align the equations so that corresponding variables are in the same column.

Front

What does it mean for two variables to be dependent?

Back

It means that the value of one variable can be expressed in terms of the other variable.

Front

What does it mean for two variables to be independent?

Back

It means that the variables do not affect each other and can take on any value.

Front

What is the graphical method of solving systems of equations?

Back

Plotting each equation on a graph to find the point(s) where they intersect, which represents the solution.