CYU 4.6 - Word Problems

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What is a word problem in mathematics?

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 or solution.

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How do you identify the variables in a word problem?

Back

Variables are the unknowns in a word problem, often represented by letters. To identify them, look for quantities that change or need to be determined.

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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 information given, the question being asked, and the relevant variables.

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What does it mean to write an equation from a word problem?

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Writing an equation involves translating the information and relationships described in the word problem into a mathematical expression that can be solved.

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What is the equation for calculating total cost when there is a fixed fee and a variable cost?

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

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In the equation 10m + 35 = 115, what does 'm' represent?

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'm' represents the number of minutes the printer has been printing.

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How do you solve the equation 50 + 20m = 290 for 'm'?

Back

Subtract 50 from both sides to get 20m = 240, then divide by 20 to find m = 12.

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What is the total charge for a taxi ride if the base fare is $3 and the cost per mile is $1.50?

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Total Charge = Base Fare + (Cost per Mile × Number of Miles).

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How do you find the number of hours worked if the total bill is known?

Back

Use the equation Total Bill = (Hourly Rate × Hours Worked) + Cost of Parts, and solve for Hours Worked.

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What is the formula to find the number of students per bus if you know the total number of students and the number of buses?

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Number of Students per Bus = Total Students / Number of Buses.