Two Step Equation Word Problems

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What is a two-step equation?

Back

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?

Back

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 term 'total cost' refer to in word problems?

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The term 'total cost' refers to the complete amount of money spent, which may include base fees, variable costs, and any additional charges such as tips or commissions.

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How can you represent a word problem as an equation?

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To represent a word problem as an equation, identify the quantities involved, define variables for unknowns, and translate the relationships and operations described in the problem into mathematical expressions.

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

Back

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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In the equation 11x + 6 = 39, what does 'x' represent?

Back

In the equation 11x + 6 = 39, 'x' represents the number of hours Kasey had a pitching lesson with Natalie.

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What is the significance of the base salary in word problems?

Back

The base salary is a fixed amount of money earned regardless of performance or sales, which serves as a starting point for calculating total earnings.

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How do you determine the number of items sold in a commission-based problem?

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To determine the number of items sold in a commission-based problem, set up an equation that includes the base salary, commission per item, and total earnings, then solve for the number of items.

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What does the equation 50 + 20m = 290 represent?

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The equation 50 + 20m = 290 represents Jim's gym membership costs, where 50 is the initial fee, 20 is the monthly fee, and 290 is the total amount paid.

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What is the role of tips in calculating total costs?

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Tips are additional amounts paid for services rendered, which should be included in the total cost calculation to determine the complete expense.