8.6A Solve Rational Equations Worksheet

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What is an extraneous solution?

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An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

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CCSS.HSA.REI.A.2

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How do you identify an extraneous solution in rational equations?

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To identify an extraneous solution, substitute the solution back into the original equation. If it does not satisfy the equation, it is extraneous.

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CCSS.HSA.REI.A.2

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What is the first step in solving a rational equation?

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The first step is to find a common denominator for all the fractions involved in the equation.

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CCSS.HSA.REI.A.2

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What does it mean to clear the fractions in a rational equation?

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Clearing the fractions means multiplying both sides of the equation by the least common denominator (LCD) to eliminate the fractions.

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CCSS.HSA.REI.A.2

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What is the least common denominator (LCD)?

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The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

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What is the importance of checking solutions in rational equations?

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Checking solutions is important to ensure that the solutions are valid and not extraneous, which can occur due to the manipulation of the equation.

Tags

CCSS.HSA.REI.A.2

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What is a rational equation?

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A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator are polynomials.

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CCSS.HSA.REI.A.2

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CCSS.7.EE.B.4A

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What happens if you multiply both sides of an equation by zero?

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Multiplying both sides of an equation by zero results in an equation that is always true (0 = 0), which can lead to loss of information about the original equation.

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CCSS.8.EE.C.7A

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CCSS.HSA.REI.A.2