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Let’s Get Ready

Let’s Get Ready. To Play Some . . . J. E. O. P. A. R. D. Y. J E O P A R D Y. J E O P A R D Y. J E O P A R D Y. J E O P A R D Y. J E O P A R D Y. Jeopardy Board. Final Jeopardy. Solve Quadratic Equations 100. What is the solution set for the equation 3x 2 – 4x +1 = 0? . Board.

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Let’s Get Ready

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  1. Let’s Get Ready To Play Some . . .

  2. J E O P A R D Y JEOPARDY JEOPARDY JEOPARDY JEOPARDY JEOPARDY

  3. Jeopardy Board Final Jeopardy

  4. Solve Quadratic Equations 100 What is the solution set for the equation 3x2 – 4x +1 = 0? Board Answer

  5. Solve Quadratic Equations 100 What is the solution set for the equation 3x2 – 4x +1 = 0? Algebra Graphing Factor 3x2 – 4x + 1 ( )( ) = 0 3x – 1 x – 1 Set each factor = 0 3x – 1 = 0 and x – 1 = 0 +1 +1 +1 +1 3x = 1 x = 1 3 3 Board

  6. Solve Quadratic Equations 200 The polynomial x2 + x − 6 is modeled below using algebraic tiles. What are the solutions to the equation x2 + x = 6? Board Answer

  7. Solve Quadratic Equations 200 The polynomial x2 + x − 6 is modeled below using algebraic tiles. What are the solutions to the equation x2 + x = 6? First, set equal to zero A x = −3 and x = −2 Bx = −3 and x = 2 C x = 3 and x = −2 D x = 3 and x = 2 x2 + x = 6 Set each factor = 0 –6 –6 x2 + x – 6 = 0 x + 3 = 0 and x – 2 = 0 –3 –3 +2 +2 Factor x2 + x – 6 Board x = 2 x = -3 ( )( ) = 0 x + 3 x – 2

  8. Solve Quadratic Equations 300 What is the solution set for the equation 4(3x − 2)2 = 36 Board Answer

  9. A {− , } B {− , } C {− , } D {− , } Solve Quadratic Equations 300 What is the solution set for the equation 4(3x − 2)2 = 36 First, set equal to zero 4(3x − 2)2 = 36 2nd QUIT 2nd ANS (-) –36 –36 4(3x − 2)2 – 36 = 0 ENTER ENTER ENTER Board

  10. Solve Quadratic Equations 400 Nancy threw a ball upward from the roof of a 50-foot-high building at an initial velocity of 40 feet per second. The table shows the relationship between the time elapsed and the ball’s height above the ground. If the height of the ball is a quadratic function of time, between what times did the ball reach a height of 70 ft Board Answer

  11. Solve Quadratic Equations 400 Nancy threw a ball upward from the roof of a 50-foot-high building at an initial velocity of 40 feet per second. The table shows the relationship between the time elapsed and the ball’s height above the ground. If the height of the ball is a quadratic function of time, between what times did the ball reach a height of 70 ft F Between 0 and 0.5 sec. G Between 1 and 1.5 sec. H Between 0.5 and 1 sec. and 1.5 and 2 sec. J Between 1 and 1.5 sec. and 1.5 and 2 sec. Path of the ball Height of 70 It occurs twice Board

  12. Solve Quadratic Equations 500 The completion of a certain chemical reaction is expressed by the equation y = 250 − 5x − x2, where y is the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius at which the reaction occurs. If the reaction is complete in 200 seconds, what is the temperature at which the reaction occurs? Board Answer

  13. Solve Quadratic Equations 500 The completion of a certain chemical reaction is expressed by the equation y = 250 − 5x − x2, where y is the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius at which the reaction occurs. If the reaction is complete in 200 seconds, what is the temperature at which the reaction occurs? y = 250 – 5x – x2 Where do you put 200 sec? 200 = 250 – 5x – x2 A 5°C B 7°C C 10°C D 12°C First, set equal to zero 200 = 250 – 5x – x2 Set each factor = 0 –200 –200 0 = 50 – 5x – x2 x + 10 = 0 and x – 5 = 0 +5 +5 Factor x2 + 5x – 50 –10 –10 Board x = -10 x = 5 ( )( ) = 0 x + 10 x – 5

  14. Roots 100 The graph of the equation y = x2 – 6x + 8 has which of the following roots? Board Answer

  15. Roots 100 The graph of the equation y = x2 – 6x + 8 has which of the following roots? A x = –2, x = –4 B x = –2, x = 4 C x = 2, x = –4 D x = 2, x = 4 Roots = Solutions = x-intercepts = Zeros Algebra Factor x2 – 6x + 8 ( )( ) = 0 x – 2 x – 4 Set each factor = 0 x – 2 = 0 and x – 4 = 0 +2 +2 +4 +4 x = 2 x = 4 Board

  16. Roots 200 What are the roots of the quadratic equation x2 − 3x + 2 = 0? Board Answer

  17. Roots 200 What are the roots of the quadratic equation x2 − 3x + 2 = 0? A −2 and −1 B −2 and 1 C 2 and −1 D 2 and 1 Roots = Solutions = x-intercepts = Zeros Algebra Factor x2 – 3x + 2 ( )( ) = 0 x – 2 x – 1 Set each factor = 0 x – 2 = 0 and x – 1 = 0 +2 +2 +1 +1 x = 2 x = 1 Board

  18. Roots 300 What are the roots of the function graphed below? Board Answer

  19. Roots 300 What are the roots of the function graphed below? F (−1, −9) and (0, −8) G (0, −4) and (2, 0) H (−4, 0) and (2, 0) J (0, 2) and (0, −4) Board

  20. Roots 400 What are the x-intercepts of the graph of the equation y = x2 + x − 12? Board Answer

  21. Roots 400 What are the x-intercepts of the graph of the equation y = x2 + x − 12? A x = 4, x = 3 Bx = −4, x = 3 C x = −4, x = −3 D x = 4, x = −3 Roots = Solutions = x-intercepts = Zeros Algebra Factor x2 + x – 12 ( )( ) = 0 x – 3 x + 4 Set each factor = 0 x – 3 = 0 and x + 4 = 0 +3 +3 –4 –4 x = 3 x = -4 Board

  22. Roots 500 Which ordered pair represents one of the roots of the function f(x) = 2x2 + 3x − 20? Board Answer

  23. F (− , 0) G (−4, 0) H (−5, 0) J (−20, 0) Roots 500 Which ordered pair represents one of the roots of the function f(x) = 2x2 + 3x − 20? Roots = Solutions = x-intercepts = Zeros Algebra Factor 2x2 + 3x – 20 ( )( ) = 0 2x – 5 x + 4 Set each factor = 0 2x – 5 = 0 and x + 4 = 0 +5 +5 – 4 – 4 2x = 5 x = -4 2 2 Board

  24. Analyze Parabolic Graphs 100 Board Answer

  25. Analyze Parabolic Graphs 100 Board

  26. Analyze Parabolic Graphs 200 Board Answer

  27. Analyze Parabolic Graphs 200 Board

  28. Analyze Parabolic Graphs 300 Board Answer

  29. Analyze Parabolic Graphs 300 Board

  30. Analyze Parabolic Graphs 400 Board Answer

  31. Analyze Parabolic Graphs 400 Board

  32. Analyze Parabolic Graphs 500 Board Answer

  33. Analyze Parabolic Graphs 500 Board

  34. Problem Solving 100 Mr. Collins invested some money that will double in value every 12 years. If he invested $5,000 on the day of his daughter’s birth, how much will the investment be worth on his daughter’s 60th birthday? Board Answer

  35. Problem Solving 100 Mr. Collins invested some money that will double in value every 12 years. If he invested $5,000 on the day of his daughter’s birth, how much will the investment be worth on his daughter’s 60th birthday? $5,000 Starts at ____________ A $300,000 B $160,000 C $80,000 D $320,000 $10,000 12 years ____________ $20,000 24 years ____________ $40,000 36 years ____________ $80,000 48 years ____________ Board $160,000 60 years ____________

  36. Problem Solving 200 Herman claimed that the square of a number is always greater than or equal to the number. Which of the following examples disproves Herman’s claim? F A comparison of (−1.5)2 with −1.5 G A comparison of (−0.5)2 with −0.5 H A comparison of (0.5)2 with 0.5 J A comparison of (1.5)2 with 1.5 Board Answer

  37. Problem Solving 200 Herman claimed that the square of a number is always greater than or equal to the number. Which of the following examples disproves Herman’s claim? F A comparison of (−1.5)2 with −1.5 G A comparison of (−0.5)2 with −0.5 H A comparison of (0.5)2 with 0.5 J A comparison of (1.5)2 with 1.5 greater 2.25 is _______ than -1.5 (−1.5)2 = 2.25 greater 0.25 is _______ than -0.5 (−0.5)2 = 0.25 less 0.25 is _______ than 0.5 (0.5)2 = 0.25 greater 2.25 is _______ than 1.5 (1.5)2 = 2.25 Board

  38. Problem Solving 300 The graph of y = 11x2 + c is a parabola with a vertex at the origin. Which of the following is true about the value of c? A c > 0 B c < 0 Cc = 0 D c = 11 Board Answer

  39. Problem Solving 300 The graph of y = 11x2 + c is a parabola with a vertex at the origin. Which of the following is true about the value of c? A c > 0 B c < 0 Cc = 0 D c = 11 greater Means c is _______ than 0 Like 3, so graph y = 11x2+3 less Means c is _______ than 0 Like -3, so graph y = 11x2 –3 equal Means c is _______ than 0 So graph y = 11x2 + 0 Board

  40. Problem Solving 400 The area of a rectangle is 144j9k15 square units. If the width of the rectangle is 8j4k5 units, what is the rectangle’s length? Board Answer

  41. Problem Solving 400 The area of a rectangle is 144j9k15 square units. If the width of the rectangle is 8j4k5 units, what is the rectangle’s length? F 1152 j13k20 units G 152 j13k20 units H 136j5k10 units J 18j5k10 units length times width Area of a rectangle = ____________________ 144j9k15 = Length times 8j4k5 How do you solve? __________ Divide Which means do three problems k10 18 j5 Board

  42. Problem Solving 500 A science class launches a solar-powered rocket into the air. The rocket’s height at time t, in seconds, is expressed by the equation 48 = 2t2 – 4t. How many seconds did it take the rocket to reach that height? Board Answer

  43. Problem Solving 500 A science class launches a solar-powered rocket into the air. The rocket’s height at time t, in seconds, is expressed by the equation 48 = 2t2 – 4t. How many seconds did it take the rocket to reach that height? A 10 B 9 C 6 D 2 Board

  44. Final Jeopardy Category Law of Exponents Board

  45. Final Jeopardy Question Which polynomial best represents the area of the regular hexagon shown below? [Area = (apothem)(perimeter)] Answer

  46. Final Jeopardy Answer Which polynomial best represents the area of the regular hexagon shown below? [Area = (apothem)(perimeter)] [Area = 0.5(x)(4x + 6)] [Area = 0.5(4x2 + 6x)] F 5x + 6 G 2x2 + 3x H 4x2 + 12x J 4x + 12 Apothem = x Perimeter is distance around Board

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