2 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, 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 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.

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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 the number of items, hours, or total cost.

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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 quantities involved, determine the relationships between them, and express these relationships using variables and mathematical operations.

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What is the importance of defining variables in word problems?

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Defining variables in word problems is important because it clarifies what each variable represents, making it easier to set up and solve the equation.

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What operation would you use to solve for a variable after isolating it on one side of the equation?

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After isolating the variable on one side of the equation, you would use the inverse operation (addition, subtraction, multiplication, or division) to solve for the variable.

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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 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.

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What does it mean to 'combine like terms' in an equation?

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Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.