Word Problems - Algebra Equations

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What is a word problem in algebra?

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A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring the formulation of an equation to find a solution.

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CCSS.HSA.CED.A.1

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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 expressions, and set up an equation based on the relationships described in the problem.

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What does it mean to solve for a variable?

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

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CCSS.7.EE.B.4A

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What is the first step in solving the equation 5b - 6 = 24?

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Add 6 to both sides of the equation.

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CCSS.7.EE.B.4A

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If a bike rental shop charges a flat fee plus an hourly rate, how do you express the total cost?

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Total Cost = Flat Fee + (Hourly Rate × Number of Hours).

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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In the equation f + 8 = 14, what does 'f' represent?

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'f' represents the number of feet the tree grew.

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CCSS.HSA-SSE.A.1A

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How do you isolate a variable in an equation?

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You perform inverse operations to both sides of the equation until the variable is alone on one side.

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CCSS.7.EE.B.4A

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What is the solution to the equation 5b - 6 = 24?

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b = 6.

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CCSS.7.EE.B.4A

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How do you determine the number of hours Sally rented the bike if she paid $66?

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Set up the equation: 12 + 6h = 66, then solve for h.

Tags

CCSS.7.EE.B.4A

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What is the total cost of a taxi ride if the base fare is $3 and the distance is 18 miles?

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Total Cost = 3 + (1.50 × 18) = $30.