Word problems- solving equations

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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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To identify variables, read the problem carefully, determine what quantities are unknown, and assign a letter or symbol to represent each unknown.

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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 thoroughly to understand what is being asked and to identify the relevant information.

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What does it mean to 'translate' a word problem into an equation?

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Translating a word problem into an equation involves converting the words and phrases into mathematical symbols and expressions that represent the relationships described in the problem.

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What is the importance of checking your solution in a word problem?

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Checking your solution is important to ensure that it makes sense in the context of the problem and satisfies all the conditions given.

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What are common keywords that indicate addition in word problems?

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Common keywords for addition include 'sum', 'total', 'increased by', 'more than', and 'combined'.

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What are common keywords that indicate subtraction in word problems?

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Common keywords for subtraction include 'difference', 'less than', 'decreased by', 'fewer than', and 'remaining'.

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How can you determine if a word problem requires multiplication or division?

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Look for keywords such as 'product', 'times', 'each', or 'per' for multiplication, and 'quotient', 'divided by', or 'for each' for division.

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What is a system of equations, and when is it used in word problems?

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A system of equations is a set of two or more equations with the same variables. It is used in word problems when there are multiple unknowns that are interrelated.

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What strategies can be used to solve complex word problems?

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Strategies include breaking the problem into smaller parts, drawing diagrams, using tables, and writing equations step-by-step.