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 solve it.

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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 key information, including what is being asked and the relevant data provided.

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Define variables in the context of word problems.

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Variables are symbols (often letters) used to represent unknown quantities in equations derived from word problems.

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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 from the word problem into a mathematical expression that can be solved.

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How do you determine the total cost in a word problem involving fixed and variable costs?

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The total cost can be calculated by adding the fixed cost to the product of the variable cost per item and the number of items.

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What is the equation for total revenue in a sales word problem?

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How do you find the number of items sold if given total revenue and price per item?

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What is the significance of identifying the relationship between variables in a word problem?

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Identifying the relationship helps in forming the correct equation that reflects how the variables interact with each other.

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What is a system of equations in the context of word problems?

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A system of equations is a set of two or more equations with the same variables, which can be solved together to find the values of those variables.

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How do you solve a system of equations?

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You can solve a system of equations using methods such as substitution, elimination, or graphing.