Multi-Step Equation Word Problems

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What is a multi-step equation?

Back

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.

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How do you set up an equation from a word problem?

Back

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

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What does 'charge per hour' mean in a word problem?

Back

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

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How do you find the total cost in a word problem involving charges?

Back

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.

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What is the first step in solving a multi-step equation?

Back

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

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How do you isolate a variable in an equation?

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

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What is the significance of a flat fee in a word problem?

Back

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.

Front

How do you determine when two plans cost the same?

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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.

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What is the formula to calculate total savings over time?

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

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How do you interpret the solution of a multi-step equation?

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