Solving Equations - 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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How do you identify the key information in a word problem?

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Look for numbers, keywords (like 'total', 'difference', 'each', 'per'), and the question being asked to determine what information is necessary to solve the problem.

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What does it mean to solve an equation?

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To solve an equation means to find the value of the variable that makes the equation true.

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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 what is being asked.

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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 to represent unknown quantities.

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What is the equation to find the total number of cabins needed if 472 students go on a trip and 120 return home?

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Let x be the number of cabins. The equation is (472 - 120)/8 = x.

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What is the formula for calculating a monthly cell phone bill based on usage?

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C = 0.20x + 15, where C is the total bill and x is the number of minutes used.

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How do you determine how many pieces of candy Aliyah started with?

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Set up the equation (x - 10)/4 = 2, where x is the total pieces of candy.

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What is the total loss of yards if a football play results in a loss of 12 yards followed by a penalty of 5 yards?

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The total loss is 12 + 5 = 17 yards.

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

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Use the equation f + 8 = 14, where f is the growth in feet.