A2M Unit 7 Assessment Solving Rational Equations

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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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How do you solve a rational equation?

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To solve a rational equation, find a common denominator, eliminate the fractions by multiplying both sides by that denominator, and then solve the resulting polynomial equation.

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x = 38.

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What does it mean to cross-multiply in a rational equation?

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Cross-multiplying means multiplying the numerator of one fraction by the denominator of the other fraction, allowing you to eliminate the fractions.

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x = 2.

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x = 0.

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x = 8.

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What is a common denominator?

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