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Inverse Variation Graph Rational Divide & Simplify Multiply Add & Subtract Functions Solve Rational Equations $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 You have selected an area of the board not in play. Click here to go back to the main board Inverse Variation- $100 Is this Inverse Variation? y 2x 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 ANSWER Graphs of Rational Functions $100 What is the name of the graph of the parent rational function? ANSWER Graphs of Rational Functions $200 What is the domain and range of the graph of the parent rational function? ANSWER Graphs of Rational Functions $300 - 6 How does the graph of y = x compare to the parent graph? ANSWER Graphs of Rational Functions $400 What are the vertical and horizontal asymptotes of 3 y= +2 x- 5 ANSWER Graphs of Rational Functions $500 ANSWER Divide & Simplify - $100 4 3 2 (30x - 12 x + 6x ) ¸ (- 6x) ANSWER Divide & Simplify - $200 2 ( y - 16 y + 49) ¸ ( y - 8) ANSWER Divide & Simplify - $300 Simplify the Rational Expression, if possible. State the excluded value(s). 3a - 15 4a - 20 ANSWER Divide & Simplify - $400 Simplify the Rational Expression, if possible. State the excluded value(s). 2 r - 4r - 77 2 r - 13z + 22 ANSWER Divide & Simplify - $500 2 (9m - 6) ¸ (- 4 + 3m) ANSWER Multiply, Divide, Add & Subtract$100 2 x + 3x - 10 5x × 2 2x - 4 x + 2 x - 15 ANSWER Multiply, Divide, Add & Subtract $200 2 2 3r - 12 2r + 7r + 6 ¸ 2 r- 2 2r - r - 6 ANSWER Multiply, Divide, Add & Subtract$300 8 3 + 2 5t 2t ANSWER Multiply, Divide, Add & Subtract$400 2n + 7 8n n- 1 n+ 5 ANSWER Multiply, Divide, Add & Subtract $500 p+ 1 p- 1 + 2 2 p - 49 p + 10 p + 21 ANSWER Solve Rational Equations- $100 2 x- 5 = x+ 2 9 ANSWER Solve Rational Equations- $200 7 4 = u+ 1 u+ 4 ANSWER Solve Rational Equations- $300 b + 11 11b + 121 = 2 b - 11 b - 6b - 55 ANSWER Solve Rational Equations- $400 8 5x = 2 - 1 x + 4 x - 2 x - 24 ANSWER Solve Rational Equations- $500 5 x 2 x - 27 = + 2 x + 4 x - 3 x + x - 12 ANSWER ****Answers**** Inverse Variation- $100 Is this Inverse Variation? y 2x no 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? a = - 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 - 5 inverse variation y = x DONE Graphs of Rational Functions $100 What is the name of the graph of the parent rational function? hyperbola DONE Graphs of Rational Functions $200 What is the domain and range of the graph of the parent rational function? Domain : all Real, x ¹ 0 Range : all Real, y ¹ 0 DONE Graphs of Rational Functions $300 - 6 How does the graph of y = x compare to the parent graph? reflection and vertical stretch by 6 DONE Graphs of Rational Functions $400 What are the vertical and horizontal asymptotes of 3 y= +2 x- 5 vertical: x = 5 horizontal: y = 2 DONE Graphs of Rational Functions $500 DONE Divide & Simplify - $100 4 3 2 3 2 (30x - 12 x + 6x ) ¸ (- 6x) - 5x + 2 x - x DONE Divide & Simplify - $200 2 ( y - 16 y + 49) ¸ ( y - 8) - 15 y - 8+ y- 8 DONE Divide & Simplify - $300 Simplify the Rational Expression, if possible. State the excluded value(s). 3a - 15 4a - 20 3 ; 4 a¹ 5 DONE 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 ¹ 2 or 11 DONE Divide & Simplify - $500 2 (9m - 6) ¸ (- 4 + 3m) 10 3m + 4 + 3m - 4 DONE Mult., Div., Add & Subtr. - $100 2 x + 3x - 10 5x × 2 2x - 4 x + 2 x - 15 5x 2( x - 3) DONE Mult., Div., Add & Subtr. - $200 2 2 3r - 12 2r + 7r + 6 ¸ 2 r- 2 2r - r - 6 3( r - 4) ( r + 2) DONE Mult., Div., Add & Subtr. - $300 8 3 + 2 5t 2t 16t + 15 2 10t DONE Mult., Div., Add & Subtr. - $400 2n + 7 8n n- 1 n+ 5 2 - 6n + 25n + 35 ( n - 1)( n + 5) DONE Mult., Div., 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 2 x- 5 = x+ 2 9 x= - 4 x= 7 DONE Solve Rational Equations- $200 7 4 = u+ 1 u+ 4 u= - 8 DONE Solve Rational Equations- $300 b + 11 11b + 121 = 2 b - 11 b - 6b - 55 b = - 11 b= 6 DONE Solve Rational Equations- $400 8 5x = 2 - 1 x + 4 x - 2 x - 24 x= - 9 x= 8 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.