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Worksheets›Algebra 2›Rational expressions & functions

Algebra 2 Rational expressions & functions Worksheets

Simplifying, multiplying, dividing, adding and subtracting rational expressions, rational equations, and asymptotes and holes. Every sheet comes with a computed answer key.

Make a mixed rational expressions & functions sheet
Simplifying rational expressionsHSA.APR.D.6x2 + 9x + 18x2 + 6xSimplify rational expressions by factoring the top and bottom and cancelling common factors, and state the excluded values.Multiplying and dividing rational expressionsHSA.APR.D.7x2 + 3x − 10x2 − x ÷ x + 5xMultiply and divide rational expressions by factoring, flipping the divisor, and cancelling common factors.Adding and subtracting rational expressionsHSA.APR.D.7−6x − 2 + 7x + 2Add and subtract rational expressions with like denominators, unlike linear denominators, and denominators that share a factor.Solving rational equationsHSA.REI.A.24x − 1 = 0xSolve equations with variables in denominators by cross-multiplying or multiplying by the common denominator, and reject extraneous solutions.Asymptotes and holes of rational functionsHSF.IF.C.7df(x) = −7(x − 4)x2 − 25Find vertical asymptotes, horizontal asymptotes and holes of rational functions from their factored form and their degrees.
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