Algebra 2-Step & Multi-Step Equations Review

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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. For example, in the equation 2x + 3 = 11, you would first subtract 3 from both sides and then divide by 2.

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What is a multi-step equation?

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A multi-step equation is an algebraic equation that requires more than two operations to solve for the variable. For example, in the equation 3(x - 2) + 4 = 10, you would first distribute, then combine like terms, and finally isolate the variable.

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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation. For example, in the equation x + 5 = 12, you would subtract 5 from both sides to find x.

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What is the first step in solving the equation (2x - 3) / 4 = 9?

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The first step is to eliminate the fraction by multiplying both sides of the equation by 4, resulting in 2x - 3 = 36.

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What does it mean to check your solution in an equation?

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Checking your solution means substituting the value back into the original equation to verify that both sides are equal. For example, if x = 2 in the equation 2x + 3 = 7, substituting gives 2(2) + 3 = 7, which is true.

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What is the solution to the equation 2.1 = k?

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The solution is k = 2.1.

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What is the importance of combining like terms in an equation?

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Combining like terms simplifies the equation, making it easier to solve. For example, in the equation 3x + 2x = 15, combining gives 5x = 15, which is simpler to solve.

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The solution is x = 19.5.