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

Define variables in a system of equations.

Back

Variables represent unknown quantities in equations, often denoted by letters like x, y, t, or m.

Front

What does it mean to 'set up' a system of equations?

Back

To create equations based on a real-world scenario that can be solved to find unknown values.

Front

How do you represent the cost of items in a system of equations?

Back

By defining variables for each item and creating equations based on their total costs.

Front

What is the first step in solving a word problem with a system of equations?

Back

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

Front

What is the significance of the coefficients in a system of equations?

Back

Coefficients represent the quantity of each variable in the equations.

Front

How do you translate a word problem into a mathematical equation?

Back

By identifying key information and relationships described in the problem and expressing them as equations.

Front

What does it mean for two equations to be consistent?

Back

It means that the equations have at least one solution in common.

Front

What is an example of a system of equations from a real-world scenario?

Back

The cost of tacos and milk at a restaurant can be represented as a system of equations.

Front

What is the purpose of solving a system of equations?

Back

To find the values of the variables that satisfy all equations in the system.