Alg2A Flashcard #10 Review

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To solve the equation, first find a common denominator, then isolate the variable x. The solution is x = 20.

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Multiply through by the common denominator to eliminate fractions, then solve for x. The solution is x = 1.

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Combine the fractions, set the equation equal to zero, and factor or use the quadratic formula. The solution is x = 1.

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Cross-multiply to eliminate the fractions, then simplify and solve for x. The solutions are x = 2.5, x = \frac{30}{12}, x = \frac{5}{2}.

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Identify a common denominator to combine the fractions.

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Define '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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What is the definition of a 'common denominator'?

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A common denominator is a shared multiple of the denominators of two or more fractions.

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

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To isolate the variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

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What is the quadratic formula?

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How do you check if a solution is correct in an equation?

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Substitute the solution back into the original equation to see if both sides are equal.