Writing Equations

Front

What is the general form of a linear equation used to represent a situation involving a total amount?

Back

The general form is: Total = Fixed Cost + Variable Cost * Number of Units.

Front

How do you represent a situation where a total cost is made up of a fixed fee and a variable cost per unit?

Back

You can represent it as: Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units).

Front

In the equation 6n + 7 = 331, what does 'n' represent?

Back

'n' represents the number of students in each bus.

Front

What does the variable 'm' represent in the equation 50 + 20m = 290?

Back

'm' represents the number of months Jim has been a member of the gym.

Front

How do you solve for 'x' in the equation 6x + 5 = 41?

Back

Subtract 5 from both sides to get 6x = 36, then divide by 6 to find x = 6.

Front

What is the expression for the total cost of renting a car for 5 days and driving 'm' miles?

Back

The expression is: Total Cost = 45(5) + 0.25m.

Front

If Maria and her friends bought 12 bags of Takis Fuego, how can you express the number of bags each person can have?

Back

You can express it as: 4t = 12, where 't' is the number of bags each person can have.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does it mean to 'isolate the variable' in an equation?

Back

To isolate the variable means to manipulate the equation so that the variable is alone on one side, making it easier to solve.

Front

What is a fixed cost in a linear equation context?

Back

A fixed cost is a cost that does not change regardless of the number of units produced or consumed.