Two Step Equations Word Problems

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What is a two-step equation?

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A two-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves isolating the variable on one side of the equation.

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How do you isolate a variable in a two-step equation?

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To isolate a variable in a two-step equation, you perform the inverse operations in the reverse order of how they are applied. First, eliminate any constant term, then divide or multiply to solve for the variable.

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What does the variable represent in a word problem?

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In a word problem, the variable typically represents an unknown quantity that you are trying to find, such as hours worked, number of items, or total cost.

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How can you translate a word problem into an equation?

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To translate a word problem into an equation, identify the key information, define the variable, and express the relationships and operations described in the problem using mathematical symbols.

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What is the first step in solving a two-step equation?

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The first step in solving a two-step equation is to eliminate any constant term from the side of the equation with the variable by performing the inverse operation.

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In the equation 14h = 112, what does 'h' represent?

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'h' represents the number of hours Mary worked to earn $112 at a rate of $14 per hour.

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How do you check your solution after solving a two-step equation?

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To check your solution, substitute the value of the variable back into the original equation to see if both sides are equal.

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What is the significance of the coefficients in an equation?

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Coefficients in an equation represent the multiplicative factor of the variable. They indicate how many times the variable is counted in the context of the problem.

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How do you interpret the solution of a word problem?

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Interpreting the solution of a word problem involves understanding what the numerical answer means in the context of the problem and ensuring it makes sense.

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What is the relationship between the number of tickets and the total cost in Penelope's carnival problem?

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The relationship is expressed by the equation 0.50x + 20 = 35, where 'x' is the number of tickets, $0.50 is the cost per ticket, and $20 is the entry fee.