A2M Unit 7 Assessment Solving Rational Equations

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What is a rational equation?

Back

A rational equation is an equation that involves at least one fraction whose numerator and/or denominator is a polynomial.

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How do you solve a rational equation using cross-multiplication?

Back

To solve a rational equation using cross-multiplication, you multiply the numerator of one side by the denominator of the other side and set the two products equal to each other.

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Back

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Back

x = 38.

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What does it mean to isolate the variable in an equation?

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

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Back

x = 4.

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How can you check if your solution to a rational equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.

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What is the importance of finding a common denominator in rational equations?

Back

Finding a common denominator allows you to combine fractions and simplify the equation, making it easier to solve.

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x = 3.

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What does it mean if a rational equation has no solution?

Back

A rational equation has no solution if the variable cancels out and results in a false statement, such as 0 = 5.