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GACE Mathematics Study Companion - Educational Testing …

www.gace.ets.org

rational expressions • Rewrites simple rational expressions in different forms • Understands that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression • Adds, subtracts, multiplies, and divides rational expressions

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MULTIPLYING & DIVIDING RATIONAL EXPRESSIONS

www.mcckc.edu

The same principles apply when multiplying rational expressions containing variables. Before multiplying, you should first divide out any common factors to both a numerator and a denominator. To Multiply Rational Expressions 1. Factor all numerators and denominators completely. 2. Divide out common factors. 3.

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SOLVING RATIONAL EQUATIONS EXAMPLES

www.beaconlearningcenter.com

common denominator of all the fractions in the equation. Multiplying each side of the equation by the common denominator eliminates the fractions. This method can also be used with rational equations. Rational equations are equations containing rational expressions. 2. Example: solveÎ 4 x−4 + 3 x = 6. 4 x−4 + 3 x = 6. ) 12(6) 4 3 4 12 ...

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Multiplying & Dividing Rational Expressions

mrsannkirby.weebly.com

Algebra 2 - Task 5.2 Name_____ Date_____ Period____ ©q e2J0 71d3J RKlu 2tlaj wSUo2futDwZa yrKeD TL jL JCJ.q C JA5lNla lr Fivg nhtFs j 3roeesCemrov WexdK.9 Multiplying & Dividing Rational Expressions Multiply each and state the excluded values. 1) 1 x − 4 ⋅ −x2 + 9x − 20 x + 2 2) 7 b2 + 5b ...

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10 Math 51 Application problems with rational expressions

www.mtsac.edu

Application Problems with Rational Expressions The applications will involve situations with work rate, variations, water current and speed of wind. Work rate Work rate problems usually involve two people that are trying to help each other finish a single job. Fran can clean the garage in 3 hours, but it takes Angie 4 hours to do the same job.

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Multiplying Rational Expressions

cdn.kutasoftware.com

Multiplying Rational Expressions Date_____ Period____ Simplify each expression. 1) 59 n 99 ⋅ 80 33 n 4720 3267 2) 53 43 ⋅ 46 n2 31 2438 n2 1333 3) 93 21 n ⋅ 34 n 51 n 62 21 n 4) 79 n 25 ⋅ 85 27 n2 1343 135 n 5) 96 38 n ⋅ 25 45 80 57 n 6) 84 3 ⋅ 48 x 95 1344 x 95 7) 6(r + 2) 20 ⋅ 4r 6(r + 2) r 5 8) 7n2(n + 4) (n − 3)(n + 4) ⋅ n ...

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McGraw-Hill Education Algebra I Review and Workbook

xn--webducation-dbb.com

Factoring Polynomials 65 Factoring Out the Greatest Common Factor 65 Factoring the Difference of Two Squares 66 ... Adding and Subtracting Rational Expressions, Like Denominators 81 Adding and Subtracting Rational Expressions, Unlike Denominators 82 vi | Contents FM.indd 6 16-11-2018 16:11:07.

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Adding & Subtracting Rational Expressions

www.mcckc.edu

To Add or Subtract Two Rational Expressions with Unlike Denominators 1. Determine the LCD. 2. Rewrite each fraction as an equivalent fraction with the LCD. This is done by multiplying both the numerator and denominator of each fraction by any factors needed to obtain the LCD. 3. Add or subtract the numerators white maintaining the LCD . 4.

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NEXT-GENERATION ADVANCED ALGEBRA AND FUNCTIONS

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Rewrite rational expressions Utilize simple trigonometric ratios Solve exponential equations in one variable Relate the solutions of a system of a linear and Make connections between graphical, tabular + by = cx dy . ... expressions by factoring .

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North Carolina Standard Course of Study North Carolina Math 2

files.nc.gov

Arithmetic with Polynomial and Rational Expressions Perform arithmetic operations on polynomials NC.M2.A-APR.1 Extend the understanding that operations with polynomials are comparable to operations with integers by adding, subtracting, and multiplying polynomials. Creating Equations Create equations that describe numbers or relationships.

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Multiplying Rational Expressions - Kuta Software LLC

www.kutasoftware.com

©P Z2q0P1 R2F QKou Mt5a0 DSNozf Ztxw wa Yr1el mLjL 6C P.O C OAllu nrji Ygbh 1t7s N XrLeWsWeUrBvVe2dU.T v sM CahdZe 4 lw OiltthI lIgn NfUitn Uiot8e F dAvl pg5e BbBrFav j1 G.M Worksheet by Kuta Software LLC

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Rational Expression Worksheet #1: Simplifying

hadleysclasses.weebly.com

Rational Expression Worksheet Review #17: All operations Simplify (remember to factor when necessary). 1. 120 25 3 5 x y xy 2. 2 8 2 9 20 x x x 3. 12 2 2 x x Multiply or divide (remember to factor when necessary). 4. 3 9 2 4 4 8 5 15 n n n n 5. 5 2 6 4 2 12 y x x 6. 4 3 2 10 20 3 2 x x x x x Add or subtract these rational expressions. 7. 4 3 12 ...

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Rational Expressions Date Period

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Rational Expressions Date_____ Period____ State the excluded values for each. 1) 60 x3 12 x 2) 70 v2 100 v 3) m + 7 m2 + 4m − 21 4) n2 + 6n + 5 n + 1 5) 35 x − 35 25 x − 40 6) −n2 + 16 n − 63 n2 − 2n − 35 Simplify each and state the excluded values. 7) p + 4 p2 + 6p + 8 8) 9 15 a − 15 9) 2a2 + 10 a 3a2 + 15 a 10) p2 − 3p − ...

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