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Regents Exam Questions A.APR.D.6: Rational Expressions 3 Name: _____ www.jmap.org 2 7 The expression x4 5x2 4x 14 x 2 is equivalent to 1) x3 2 x2 6 2 x 2 2) x3 5x 4 14 x 2 3) x3 2 x2 2 18 x 2 4) x3 2x2 9x 22 30 x 2 8 The rational expression 2x4 5x2 3x 2 x 3 is equivalent to 1) 2x3 5x 12 38
rational expressions and use their skill in factoring to identify values of variables for which the denominator would be zero. Students extend another idea to rational expressions, simplifying fractions, by finding common factors in the numerator and denominator, and replac-ing the quotient of those factors with 1. As another
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. WORKSHEETS Regents-Solving Rationals 1
Regents Exam Questions Name: _____ N.RN.A.2: Radicals and Rational Expressions 1 www.jmap.org 3 17 Write xx3 3 x5 as a single term in simplest form, with a rational exponent. 18 Justify why 3 x2y5 4 x3y4 is equivalent to x 1 12y 2 3 using properties of rational exponents, where x 0 and y 0. 19 When 1 3 y2 Ê Ë ÁÁ ÁÁ ÁÁ ÁÁ ÁÁ ˆ ¯ ˜˜
Worksheet by Kuta Software LLC-2-11) 5 = 50x - 5 12) -15 = -311 - 2n 13) -56 + 15k = k14) x = 54 - 3x 15) k - 1 = k - 3 16) n + 1 = 2n + 50 17) It takes Asanji eight hours to harvest a field. Ted can harvest the same field in 15 hours. Find how long it would take them if they worked together. 18) It takes Sumalee eight hours to pick forty
Worksheet by Kuta Software LLC Preacalculus Operations Rational Expressions Name_____ ©N m2d0I1K5Y sKJuYtWaA pSPoFfhtJwYaOrmek SLtLFCX.X D PAWlglV wrTiBgyhEtZs\ frJeesWeVrAvYeSdc.-1-Simplify each and state the excluded values. 1) 6a - 60 a - 10 2) 6 - n 7n - 42 3) 5x - 45 x2 - 11x + 18 4) 15x2 + 9x 9x2 - 30x 5) 3x2 - 8x - 3
Worksheet by Kuta Software LLC-4-18) f (x) = x2 - 6x + 8 4x2 + 4x - 8 x y-8-6-4-22468-8-6-4-2 2 4 6 8 Solve each question. Round your answer to the nearest hundredth. 19) It takes Mei 11 minutes to sweep a porch. Anjali can sweep the same porch in 12 minutes. Find how long it would take them if they worked together. 20) Mark can mop a warehouse ...
