Algebra 2 Unit 3 Test Review (Rationals)

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1. Find a common denominator for the left side. 2. Combine the fractions. 3. Cross-multiply to eliminate the fractions. 4. Solve for x. 5. Check for extraneous solutions.

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Front

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1. Factor the denominators. 2. Find a common denominator. 3. Rewrite each fraction with the common denominator. 4. Combine the numerators and simplify.

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Front

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What is the definition of a rational expression?

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

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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 they do not make the denominator zero, which would make the expression undefined.

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What is a common denominator and why is it used?

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A common denominator is a shared multiple of the denominators of two or more fractions, used to combine or compare fractions.

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What does it mean to simplify a rational expression?

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Simplifying a rational expression means reducing it to its lowest terms by factoring and canceling common factors.

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What is the process for factoring a quadratic expression?

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To factor a quadratic expression, find two numbers that multiply to the constant term and add to the linear coefficient, then rewrite the expression.