Word problems with equations

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What is a word problem?

Back

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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CCSS.HSA.CED.A.1

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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, typically isolating the variable on one side of the equal sign.

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CCSS.7.EE.B.4A

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What is the equation for calculating total earnings based on hourly wage?

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Total Earnings = Hourly Wage × Hours Worked.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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How do you represent a situation where a fixed cost is added to a variable cost?

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You can represent it with an equation like: Total Cost = Fixed Cost + (Variable Cost per Unit × Number of Units).

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CCSS.HSF.LE.B.5

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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 and what is being asked.

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CCSS.8.EE.C.7B

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How do you check if your solution to an equation is correct?

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You can check your solution by substituting the value back into the original equation to see if both sides are equal.

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CCSS.8.EE.C.7B

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What does 'x is by itself on one side of the equal sign' mean?

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It means that the variable x has been isolated, and no other terms are added or subtracted from it on that side of the equation.

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CCSS.6.EE.B.7

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What is the equation for calculating temperature drop over time?

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Temperature = Initial Temperature - (Rate of Drop × Time).

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How do you set up an equation for a scenario involving hourly charges?

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You can set it up as: Total Charge = Hourly Rate × Hours Worked + Fixed Charges.

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What is the importance of identifying variables in a word problem?

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Identifying variables helps to translate the problem into a mathematical equation, making it easier to solve.

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CCSS.6.EE.B.6