Solve Two-Step Equations

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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. Typically, it involves isolating the variable by performing an inverse operation twice.

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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 reverse order: first, eliminate the constant term, and then eliminate the coefficient of the variable.

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What is the first step to solve the equation 5 + 1/7b = -2?

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The first step is to subtract 5 from both sides of the equation to isolate the term with the variable.

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What is the solution to the equation 12(x - 20) = -48?

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The solution is x = 16.

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How do you solve the equation -8s + 1 = 33?

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First, subtract 1 from both sides to get -8s = 32, then divide by -8 to find s = -4.

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What does it mean to perform inverse operations?

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Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

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What is the solution to the equation -3 + 8n = -5?

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The solution is n = -1/4.

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How do you check the solution of a two-step equation?

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To check the 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 the second step to solve the equation 2r - 3.1 = 1.7?

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The second step is to add 3.1 to both sides of the equation after isolating the term with the variable.

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What is the importance of understanding two-step equations?

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Understanding two-step equations is crucial for solving more complex algebraic equations and for applying algebra in real-world situations.