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(Inverse) Variation Graph Rational Add & Subtract Functions Multiply, Divide, Simplify Solve Rational $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Equations You have selected an area of the board not in play. Click here to go back to the main board Inverse Variation- $100 ANSWER Inverse Variation- $200 Is this Inverse Variation? 2 xy 8 ANSWER Inverse Variation- $300 y varies inversely with x if y 3 when x 6, what is the constant of variation? ANSWER Inverse Variation - $400 y varies inversely with x if y 2 when x 12, write an equation that relates x and y ANSWER Inverse Variation - $500 The number of bags of grass seed, n, needed to reseed a yard varies directly with the area, a, to be seeded and inversely with the weight, w, of a bag of seed. If it takes two 3 lb bags to seed an area of 3600 ft2, how many 3 lb bags will seed 9000 ft2? ANSWER Graphs of Rational Functions $100 What are the vertical and horizontal asymptotes of 3 y= +2 x- 5 ANSWER Graphs of Rational Functions $200 ANSWER Graphs of Rational Functions $300 Find the vertical asymptote(s) and hole(s) for: x 9 f ( x) 2 x 8 x 15 2 ANSWER Graphs of Rational Functions $400 Find the points of discontinuity for: 3x 6 f ( x) 2 2x x 3 2 ANSWER Graphs of Rational Functions $500 Sketch the graph: 2 y 3 x 1 ANSWER Multiply, Divide, Simplify - $100 x 2 4x 6 2 2x 3 x 4 ANSWER Multiply, Divide, Simplify - $200 x 16 x2 2 2 x 4x 4 x 6x 8 2 ANSWER Multiply, Divide, Simplify - $300 Simplify the Rational Expression, if possible. State the excluded value(s). 3a - 15 4a - 20 ANSWER Multiply, Divide, Simplify - $400 Simplify the Rational Expression, if possible. State the excluded value(s). 2 r - 4r - 77 2 r - 13z + 22 ANSWER Multiply, Divide, Simplify - $500 x 2 x 3 x 2 x 15 2 2 x x2 x x6 2 2 ANSWER Add & Subtract- $100 8 3 + 2 5t 2t ANSWER Add & Subtract - $200 x 2x 1 2 x 1 x 3x 2 ANSWER Add & Subtract- $300 2n + 7 8n n- 1 n+ 5 ANSWER Add & Subtract- $400 x2 x2 2 x 2x 2x 4 ANSWER Add & Subtract - $500 p+ 1 p- 1 + 2 2 p - 49 p + 10 p + 21 ANSWER Solve Rational Equations- $100 7 4 = u+ 1 u+ 4 ANSWER Solve Rational Equations- $200 2 x- 5 = x+ 2 9 ANSWER Solve Rational Equations- $300 8 5x = 2 - 1 x + 4 x - 2 x - 24 ANSWER Solve Rational Equations- $400 1 1 2 2 x 1 x 1 x 1 ANSWER Solve Rational Equations- $500 5 x 2 x - 27 = + 2 x + 4 x - 3 x + x - 12 ANSWER ****Answers**** Inverse Variation- $100 - 5 inverse variation y = x DONE Inverse Variation - $200 Is this Inverse Variation? 2 xy 8 yes DONE Inverse Variation- $300 y varies inversely with x if y 3 when x 6, what is the constant of variation? k = -18 DONE Inverse Variation - $400 y varies inversely with x if y 2 when x 12, write an equation that relates x and y - 24 y= x DONE Inverse Variation - $500 The number of bags of grass seed, n, needed to reseed a yard varies directly with the area, a, to be seeded and inversely with the weight, w, of a bag of seed. If it takes two 3 lb bags to seed an area of 3600 ft2, how many 3 lb bags will seed 9000 ft2? 5 bags DONE Graphs of Rational Functions $100 What are the vertical and horizontal asymptotes of 3 y= +2 x- 5 vertical: x = 5 horizontal: y = 2 DONE Graphs of Rational Functions $200 DONE Graphs of Rational Functions $300 Find the vertical asymptote(s) and hole(s) for: x 9 f ( x) 2 x 8 x 15 2 Hole @ x = 3 VA @ x = 5 DONE Graphs of Rational Functions $400 Find the points of discontinuity for: 3x 6 f ( x) 2 2x x 3 2 Holes @ x = 3/2, x = -1 DONE Graphs of Rational Functions $500 Sketch the graph: 2 y 3 x 1 DONE Multiply, Divide, Simplify - $100 x 2 4x 6 2 2x 3 x 4 2 /( x 2) DONE Multiply, Divide, Simplify - $200 x 16 x2 2 2 x 4x 4 x 6x 8 2 x4 ( x 2)( x 2) DONE Multiply, Divide, Simplify - $300 Simplify the Rational Expression, if possible. State the excluded value(s). 3a - 15 4a - 20 3 ; 4 a №5 DONE Multiply, Divide, Simplify - $400 Simplify the Rational Expression, if possible. State the excluded value(s). 2 r - 4r - 77 2 r - 13z + 22 r- 7 ; r- 2 a №2 or 11 DONE Multiply, Divide, Simplify - $500 x 2 x 3 x 2 x 15 2 2 x x2 x x6 2 2 x3 x5 DONE Add & Subtr. - $100 8 3 + 2 5t 2t 16t + 15 2 10t DONE Add & Subtr. - $200 DONE Add & Subtr. - $300 2n + 7 8n n- 1 n+ 5 2 - 6n + 25n + 35 ( n - 1)( n + 5) DONE Add & Subtr. - $400 DONE Add & Subtr. - $500 p+ 1 p- 1 + 2 2 p - 49 p + 10 p + 21 2 2 p - 4 p + 10 ( p - 7)( p + 7)( p + 3) DONE Solve Rational Equations- $100 7 4 = u+ 1 u+ 4 u= - 8 DONE Solve Rational Equations- $200 2 x- 5 = x+ 2 9 x= - 4 x= 7 DONE Solve Rational Equations- $300 8 5x = 2 - 1 x + 4 x - 2 x - 24 x= - 9 x= 8 DONE Solve Rational Equations- $400 1 1 2 2 x 1 x 1 x 1 DONE Solve Rational Equations- $500 5 x 2 x - 27 = + 2 x + 4 x - 3 x + x - 12 no solution e.v. : 3 and -4! DONE CONTINUE CONTINUE Directions for Changing the Game • To change the questions and answers, just type over the problems…Use the “replace” feature to change the categories easily • The daily doubles were originally set to category #4 for $500 and category #2 for $300 • To change the daily doubles you must – 1. Change the hyperlink for the links on the main board to go to the appropriate question, therefore bypassing the daily double slide – 2. Change the hyperlink on the continue button on each daily double slide to go to the new question.