2-Step Equations Word Problems

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What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves addition or subtraction followed by multiplication or division.

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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 unknown variable, translate the words into mathematical operations, and set up an equation that reflects the relationships described in the problem.

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What does the variable 'x' typically represent in word problems?

Back

In word problems, 'x' usually represents the unknown quantity that you are trying to find, such as the number of items, hours, or cost.

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How do you isolate a variable in a 2-step equation?

Back

To isolate a variable in a 2-step equation, first perform the inverse operation of addition or subtraction to eliminate the constant term, then perform the inverse operation of multiplication or division to solve for the variable.

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What is the first step in solving the equation 6x + 7 = 331?

Back

The first step is to subtract 7 from both sides of the equation to eliminate the constant term, resulting in 6x = 324.

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In the equation 375 = 50x + 150, what does '50x' represent?

Back

In this equation, '50x' represents the total cost of labor, where 'x' is the number of hours worked and '50' is the cost per hour.

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How can you check if your solution to a 2-step equation is correct?

Back

You can check your solution by substituting the value of the variable back into the original equation to see if both sides are equal.

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What is the total cost equation for Bridgette's shopping trip?

Back

The total cost equation for Bridgette's shopping trip is 67 = 22 + 3x, where 'x' is the cost of each shirt.

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How do you set up an equation for Casey's CD purchase?

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To set up the equation for Casey's CD purchase, you can use 12x + 14 = 50, where 'x' is the number of CDs she can buy.

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What does the equation 10.95x + 12.57 = 89.22 represent?

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This equation represents the total cost of pizzas and sodas that Mallory bought, where 'x' is the number of pizzas and the total cost is $89.22.