Two Step Equation 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 added or subtracted from the variable, 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, often related to a real-world scenario.

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How can you translate a word problem into a mathematical equation?

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To translate a word problem into a mathematical 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 containing the variable by performing the inverse operation.

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

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The second step in solving a two-step equation is to isolate the variable by dividing or multiplying both sides of the equation by the coefficient of the variable.

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

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To check your solution to a two-step equation, 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 a two-step equation?

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Coefficients in a two-step equation represent the multiplicative factor of the variable. They indicate how many units of the variable are being considered in the context of the problem.

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What does it mean to 'solve for x' in an equation?

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To 'solve for x' means to find the value of the variable x that makes the equation true, typically by isolating x on one side of the equation.

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What is a common mistake when solving two-step equations?

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A common mistake when solving two-step equations is to incorrectly apply the order of operations or to forget to perform the same operation on both sides of the equation.