Multi-Step Equation Word Problems

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Identify the variables, translate the words into mathematical operations, and write an equation that represents the situation described in the problem.

'Charge per hour' refers to the amount of money that is added to a total cost for each hour of service provided.

To find the total cost, add the fixed charges (if any) to the variable charges calculated by multiplying the charge per hour by the number of hours.

The first step is to simplify both sides of the equation if possible, which may include combining like terms or distributing.

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

A flat fee is a fixed amount charged regardless of the number of hours or units involved, which must be included in the total cost calculation.

Set up an equation that represents the total cost of each plan and solve for the variable that represents the number of units (e.g., minutes, hours) used.

Total savings can be calculated using the formula: Total Savings = (Amount Saved per Week - Weekly Expenses) * Number of Weeks + Initial Savings.

The solution represents the value of the variable that makes the equation true, often indicating a quantity such as time, cost, or amount.