Learning Activity Sheet Rational Functions, Equations, and Inequalities I. Directions: Write EX on the space provided if the given expression is a rational expression, EQ ifa rational equation, or IN if a rational inequality. x+2 1. (3x-5)(x+3) x-4 x²+2x 2. 2x 3x-1 (x+2)(x-4) >2x²+3 x+6 x 4. = x-1 x+2 x²+x-1 5. x+1 II. Directions: Solve the rational equation by following the steps enumerated. x 2 10 + = x-2x+3 x²+x-6 1. Factor the denominators.. 2. Determine the LCD. 3. Identify the restrictions. 4. Multiply both sides of the equation by the LCD. 5. Solve the equation. Show your solution. III. Directions: Answer the following problems. Use a separate sheet of paper if necessary. A. Determine the x-value(s) satisfying the given rational equations. Show your solution for each item and box your final answer. x+5 4 =2 2. 10x-2 5 x-4 -= x-2 7 x+2 B. Determine the solution set for the following rational inequalities. Write your solution for each item and box your final answer. x+5 -<0 x²-4 2 4. x²+3x+2>0 x²-16

Learning Activity Sheet Rational Functions, Equations, and Inequalities I. Directions: Write EX on the space provided if the given expression is a rational expression, EQ ifa rational equation, or IN if a rational inequality. x+2 1. (3x-5)(x+3) x-4 x²+2x 2. 2x 3x-1 (x+2)(x-4) >2x²+3 x+6 x 4. = x-1 x+2 x²+x-1 5. x+1 II. Directions: Solve the rational equation by following the steps enumerated. x 2 10 + = x-2x+3 x²+x-6 1. Factor the denominators.. 2. Determine the LCD. 3. Identify the restrictions. 4. Multiply both sides of the equation by the LCD. 5. Solve the equation. Show your solution. III. Directions: Answer the following problems. Use a separate sheet of paper if necessary. A. Determine the x-value(s) satisfying the given rational equations. Show your solution for each item and box your final answer. x+5 4 =2 2. 10x-2 5 x-4 -= x-2 7 x+2 B. Determine the solution set for the following rational inequalities. Write your solution for each item and box your final answer. x+5 -<0 x²-4 2 4. x²+3x+2>0 x²-16

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section: Chapter Questions

Problem 1SGR

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