Writing two step equations from word problems Part 4

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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 represent a word problem as an equation?

Back

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 does the variable 'x' typically represent in a two-step equation?

Back

In a two-step equation, 'x' usually represents the unknown quantity that you are trying to solve for.

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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 isolate the term with the variable by performing the inverse operation of the constant term.

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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 performing the inverse operation of the coefficient of the variable.

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How do you translate the phrase 'total cost' into an equation?

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The phrase 'total cost' can be translated into an equation by setting it equal to the sum of fixed costs and variable costs, often represented as y = fixed cost + variable cost.

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What is the significance of the service fee in a word problem?

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The service fee is a fixed cost that must be added to the variable costs when calculating the total amount.

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How do you determine the price of an item from a total cost equation?

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To determine the price of an item from a total cost equation, isolate the variable representing the price by subtracting any fixed costs and then dividing by the quantity of items.

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What does the term 'per hour' indicate in a word problem?

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The term 'per hour' indicates a rate of charge that is multiplied by the number of hours worked to calculate total cost.

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How do you set up an equation for a scenario involving multiple items?

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To set up an equation for a scenario involving multiple items, define a variable for the price of each item, multiply it by the number of items, and add any additional costs to form the equation.