Multi-step Equation Word Problems

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What is a multi-step equation?

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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 represent a savings problem with an equation?

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You can represent a savings problem with an equation by identifying the initial amount, the rate of saving, and the total amount saved. For example, if Bob has $150 and saves $40 per month, the equation is: Total = Initial + (Rate * Months).

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What does the variable 'x' typically represent in word problems?

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In word problems, 'x' usually represents an unknown quantity that you need to solve for, such as the number of months or weeks.

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How do you set up an equation for a problem involving a fixed fee and a variable cost?

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To set up an equation for a problem with a fixed fee and a variable cost, add the fixed fee to the product of the variable cost per unit and the number of units. For example, Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units).

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

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The first step in solving a multi-step equation 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 find the total cost of renting a car with a daily fee and a mileage fee?

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To find the total cost of renting a car, use the formula: Total Cost = Daily Fee + (Cost per Mile * Number of Miles).

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What is the importance of identifying the unknown in a word problem?

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Identifying the unknown in a word problem is crucial because it helps you determine what variable to solve for and guides you in setting up the equation.

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How can you check if your solution to a multi-step equation is correct?

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You can check your solution by substituting the value back into the original equation to see if both sides are equal.

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What is the relationship between the number of weeks and the total number of items collected in a collection problem?

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The relationship can be expressed as: Total Items = Initial Items + (Items Collected per Week * Number of Weeks).

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How do you convert a word problem into an equation?

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To convert a word problem into an equation, identify the quantities involved, determine the relationships between them, and express these relationships mathematically.