Word Problems - Algebra Equations

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What is a word problem in algebra?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the translation of the text into a mathematical equation to find a solution.

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

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Identify the variables, translate the words into mathematical operations, and write an equation that represents the situation described.

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What does the variable represent in an equation?

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A variable represents an unknown quantity that can change or vary, often denoted by letters such as x, y, or z.

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What is the first step in solving a linear equation?

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The first step is to isolate the variable on one side of the equation by performing inverse operations.

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How do you solve the equation 5b - 6 = 24?

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Add 6 to both sides to get 5b = 30, then divide both sides by 5 to find b = 6.

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What is the equation for calculating total cost in a scenario with a fixed fee and variable cost?

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Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units).

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In the equation 10 + 7x = 24, what does x represent?

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x represents the cost of each pencil in the context of the problem.

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How do you determine the growth of a tree from one year to the next?

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Subtract the initial height from the final height to find the growth: Growth = Final Height - Initial Height.

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What is the significance of the constant term in an equation?

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The constant term represents a fixed value that does not change, often indicating a starting point or initial condition.

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How do you interpret the solution of an equation in a word problem?

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The solution provides the value of the variable that satisfies the conditions of the problem, answering the question posed.