Solving Two-Step Equations with Rational Numbers

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What is a two-step equation?

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CCSS.7.EE.B.4A

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

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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.

Tags

CCSS.7.EE.B.4A

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Solve for a: 50 = 28.1 + 0.15a

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a = 146

Tags

CCSS.7.EE.B.4A

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

Tags

CCSS.7.EE.B.4A

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x = -\frac{5}{12}

Tags

CCSS.7.EE.B.4A

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

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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.

Tags

CCSS.8.EE.C.7B

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k = 4.75

Tags

CCSS.7.EE.B.4A

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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.

Tags

CCSS.8.EE.C.7B

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x = -4

Tags

CCSS.7.EE.B.4A

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What is the importance of understanding rational numbers in equations?

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

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CCSS.8.EE.C.7B