Equation Word Problems

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What is an equation word problem?

Back

An equation word problem is a mathematical problem presented in a narrative form that requires the formulation of an equation to find an unknown value.

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How do you identify the unknown in a word problem?

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The unknown is typically represented by a variable (like x or w) and is the value you need to find based on the information given in the problem.

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What is the first step in solving an equation word problem?

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The first step is to read the problem carefully and identify the key information, including the total amounts, costs, and relationships between quantities.

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What does it mean to 'split the cost evenly' in a word problem?

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It means to divide the total cost by the number of people or items involved, so each person or item pays an equal share.

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

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Translate the words into mathematical expressions using variables for unknowns, and set them equal to known quantities or totals.

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What is the purpose of using variables in equations?

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Variables represent unknown values that can change, allowing us to create equations that can be solved to find specific numerical answers.

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What does the equation 3600 - 300w = 0 represent in a loan problem?

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It represents the total loan amount ($3600) being paid back at a rate of $300 per week (w), where the goal is to find how many weeks (w) it takes to pay off the loan.

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How do you calculate the cost per item in a word problem?

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To find the cost per item, subtract the total cost of known items from the total spent, then divide by the number of unknown items.

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What does the equation 20(.17w + .44) = 15.60 represent in a mailing problem?

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It represents the total cost of mailing 20 cards, where .44 is the cost for the first ounce and .17 is the cost for each additional ounce (w).

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What is the significance of the total in a word problem?

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The total often represents the final amount that needs to be achieved or the sum of all costs, which helps in setting up the equation.