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 solve a multi-step equation?

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To solve a multi-step equation, perform the following steps: 1) Simplify both sides of the equation if necessary. 2) Use inverse operations to isolate the variable. 3) Check your solution by substituting it back into the original equation.

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

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The first step is to read the problem carefully and identify the variables, constants, and what is being asked.

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How do you translate a word problem into an equation?

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Identify keywords and phrases that indicate mathematical operations (e.g., 'total' for addition, 'difference' for subtraction) and express the relationships using variables.

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What does 'rate' mean in a word problem context?

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Rate refers to a quantity measured against another quantity, often expressed as a unit of time (e.g., speed, growth rate).

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If a plant grows at a rate of 3 cm per month, how would you express its height after 'x' months?

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The height of the plant after 'x' months can be expressed as: Height = Initial Height + (Growth Rate × Time) = 5 + 3x.

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What is the formula to calculate total earnings based on hourly wage and hours worked?

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Total Earnings = Hourly Wage × Hours Worked.

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How do you find the total cost after a setup fee and monthly charges?

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Total Cost = Setup Fee + (Monthly Charge × Number of Months).

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What is the significance of identifying the initial value in a word problem?

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The initial value is crucial as it serves as the starting point for calculations and helps in forming the equation.

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How do you determine the number of weeks needed to reach a goal in a collection problem?

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To determine the number of weeks needed, use the formula: Weeks = (Goal - Initial Amount) / Rate of Collection.