Systems of Equations - Word Problems

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

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

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations represent the same scenario.

Front

What does 'd' and 'n' represent in the context of coins?

Back

In the coin problem, 'd' represents the number of dimes and 'n' represents the number of nickels.

Front

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

Back

The first step is to write the equations based on the given information.

Front

How do you find the total value of coins in a word problem?

Back

Multiply the number of each type of coin by its value and sum them up.

Front

What does the equation d + n = 80 represent?

Back

It represents the total number of coins, where 'd' is the number of dimes and 'n' is the number of nickels.

Front

What is the significance of the setup fee in the shirt problem?

Back

The setup fee is a fixed cost that must be added to the total cost based on the number of shirts ordered.

Front

How do you determine when two companies charge the same amount?

Back

Set the equations representing the costs of both companies equal to each other and solve for the number of shirts.

Front

What does the solution (2, y) indicate in the line equations?

Back

It indicates that when x = 2, you can find the corresponding value of y by substituting x into one of the equations.

Front

What is the purpose of using variables in word problems?

Back

Variables help to represent unknown quantities that can be solved for using equations.