Equation Word Problems

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What is a word problem in mathematics?

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A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the reader to extract relevant information and formulate an equation to find a solution.

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How do you identify the variables in a word problem?

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Variables are typically identified by determining what quantities are changing or need to be solved for in the problem. Look for keywords that indicate these quantities.

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What is the first step in solving a word problem?

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The first step is to read the problem carefully and identify the information given, the question being asked, and the relevant variables.

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What does it mean to set up an equation from a word problem?

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Setting up an equation involves translating the information and relationships described in the word problem into a mathematical equation that can be solved.

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In the problem 'A music app charges $2 to download the app, plus $1.29 per song downloaded. What would be the total cost to download 30 songs?', what is the equation to find the total cost?

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The equation is: Total Cost = 2 + 1.29 * Number of Songs.

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If a pet store charges $5 to wash a cat and $7.50 to wash a dog, how would you express the total earnings from washing cats and dogs?

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The total earnings can be expressed as: Total Earnings = 5 * Number of Cats + 7.50 * Number of Dogs.

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What is the significance of the slope in a linear equation derived from a word problem?

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The slope represents the rate of change in the context of the problem, indicating how one quantity changes in relation to another.

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In this equation, x typically represents the number of children and y represents the number of adults attending the fair.

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How do you determine the total cost in a word problem involving multiple items with different prices?

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You multiply the quantity of each item by its price and then sum all the products to find the total cost.

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What does the term 'rate of descent' refer to in a word problem about an airplane?

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The rate of descent refers to how quickly the airplane is descending, usually expressed in feet per minute.