AA C&C Unit 7 FLASHCARD 2: Add/Sub & Solve Rational Equations

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What is a rational expression?

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A rational expression is a fraction where the numerator and the denominator are both polynomials.

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How do you find the common denominator of two rational expressions?

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To find the common denominator, factor each denominator and take the highest power of each factor present in either denominator.

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What is the least common multiple (LCM) of two polynomials?

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The LCM is the product of the highest powers of all factors present in the polynomials.

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What is the process of simplifying a rational expression?

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To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

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What does it mean to distribute in algebra?

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Distributing means to multiply each term inside a parenthesis by a term outside the parenthesis.

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What is a common mistake when finding the quotient of rational expressions?

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A common mistake is incorrectly simplifying or distributing terms.

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What is the importance of checking your work in algebra?

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Checking your work helps identify errors in calculations, factoring, or simplifying, ensuring the final answer is correct.