Solving Two-Step Equations with Rational Numbers

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What is a two-step equation?

Back

Front

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

Back

To isolate a variable, perform the inverse operations in reverse order. First, eliminate the constant term, then divide or multiply to solve for the variable.

Front

Solve for a: 50 = 28.1 + 0.15a

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a = 146

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Back

The first step is to eliminate the fractions by finding a common denominator or multiplying through by the least common multiple.

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Back

x = -\frac{5}{12}

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What does it mean to have a negative solution in an equation?

Back

A negative solution indicates that the value of the variable is less than zero, which can have different interpretations depending on the context of the problem.

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Back

k = 4.75

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What is the purpose of checking your solution in an equation?

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Checking your solution ensures that the value satisfies the original equation, confirming that the solution is correct.

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Back

x = -4

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What is the importance of understanding rational numbers in equations?

Back

Understanding rational numbers is crucial because they often appear in equations, and knowing how to manipulate them is essential for solving problems accurately.