The Rational Number System Worksheet Solutions . Classify these numbers as rational or irrational and give your reason. 1. a. 7329 - rational because this number is a natural, whole, integer . b. √4 - rational because in standard form this number is 2 which is a natural, whole, integer . 2. a.
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Preview and Download !Rational Functions Directions: Analyze and Graph each Rational Function f(x)= x2−3x+2 x3+3x2−4x Domain: Discontinuities: x-intercepts y-intercepts Vertical Asymptotes: Holes (including y-value): End Behavior Asymptote (DOMINANCE): Other Key points: (make table) –Use if necessary
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Preview and Download !Multiplying Rational Expressions Date_____ Period____ Simplify each expression. 1) 59 n 99 ⋅ 80 33 n 2) 53 43 ⋅ 46 n2 31 3) 93 21 n ⋅ 34 n 51 n 4) 79 n 25 ⋅ 85 27 n2 5) 96 38 n ⋅ 25 45 ... Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com. Title: Multiplying Rational Expressions
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Preview and Download !28) Split into a sum of two rational expressions with unlike denominators: 2x + 3 x2 + 3x + 2 Many solutions. Ex: 1 x + 1 + 1 x + 2-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
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Preview and Download !Radicals and Rational Exponents Date_____ Period____ Write each expression in radical form. 1) 7 1 2 7 2) 4 4 3 (3 4)4 3) 2 5 3 (3 2)5 4) 7 4 3 (3 7)4 5) 6 3 2 (6)3 6) 2 1 6 6 2 ... Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com. Title: Radicals and Rational Exponents
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Preview and Download !Solving Rational Equations Solve the following equations using the LCD to clear fractions first. Note: You must check all answers. 1. 5 9 4 3 1 x + = 2. 6 1 5 3 1 − = x 3. 3x 7 5 1 3 2 − = 4. 3 1 2 1 6 2 + = x
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Preview and Download !©j LKJuPtVaV rS3ojfItjw MaJr0eN ULELaCS.5 y SANlblB TrjiCgQhstks0 lr 1e5sWeCrCvUemd6.c N CMWamdIec lwIiVt6he BILn7fDiln EihtIer AABlmgJeNbrXax 31p.N-5-Worksheet by Kuta Software LLC Answers to Review Sheet: Rational Expressions (ID: 1)
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Preview and Download !Solving a Rational Equation 1. Find the LCD of all the rational expressions in the equation. 2. Multiply both sides by the LCD. 3. Solve the resulting equation. 4. You must check your solutions and throw out any that make the denominator zero. Notice that we emphasized the “must” in step 4. The reason for this is simple. If you recall from
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Preview and Download !1) Rewrite each radical using rational exponent notation. a. 3 7 5 b. 11 x c. 4 8 2) Rewrite each power using radical notation. a. 431/5 b. 8 3 /4 c. x5 2 3) Find the exact, simplified value of each expression without a calculator. If you are stuck, try converting between radical and rational exponential notation first, and then simplify.
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