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Jeopardy – Ch7

This comprehensive guide covers essential concepts of quadratics including finding roots, identifying vertices, and applying the quadratic formula through engaging Jeopardy-style questions. Each section features problems categorized by difficulty, enhancing understanding of quadratic equations in various forms. Whether you're learning how to solve equations, determine real versus imaginary roots, or explore vertex forms, this resource aims to boost your quadratic problem-solving skills in an interactive format.

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Jeopardy – Ch7

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  1. Jeopardy – Ch7 Solving Quadratics Roots and Vertices Quadratic Formula Hodge- Podge Forms Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

  2. $100 Question from SolvingQuadratics Solve the quadratic: Jeopardy

  3. $100 Answer from SolvingQuadratics Jeopardy

  4. $200 Question from SolvingQuadratics Solve: Jeopardy

  5. $200 Answer from SolvingQuadratics Jeopardy

  6. $300 Question from SolvingQuadratics A baseball is thrown from the top of a very tall building at an initial velocity of 32 ft/sed. The ball’s height, in meters, t seconds after it has been released is . When does the ball return to the ground? When does the ball reach its maximum height ? Jeopardy

  7. $300 Answer from SolvingQuadratics H(t)=-16(t-3)(t+1) H(t)=0 when t = 3 sec. T=-b/2a=32/32 = 1sec highest height Jeopardy

  8. $400 Question from SolvingQuadratics Solve the Quadratic Equation: Jeopardy

  9. $400 Answer from SolvingQuadratics Jeopardy

  10. $500 Question from SolvingQuadratics solve the quadratic equation Jeopardy

  11. $500 Answer from SolvingQuadratics Let u=x2-3 2u2-3u+1+0 (2u-1)(u-1)=0 2(x2-3)-1=0 or x2-3-1=0 2x2=7 or x2=4 Jeopardy

  12. $100 Question from Roots andVertices How many real root does the following equation have? Jeopardy

  13. $100 Answer from Roots andVertices B2-4ac=25-4(2)(-8)=25+64=89 2 real irrational roots Jeopardy

  14. $200 Question from Roots andVertices find the roots of the quadratic equation: Jeopardy

  15. $200 Answer from Roots andVertices X=-3, -6 Jeopardy

  16. $300 Question from Roots andVertices Use your graphing calculator The height of a golf ball is given by At what time does the ball reach its highest height? Jeopardy

  17. $300 Answer from Roots andVertices T=-b/2a=-48/-32=3/2 Jeopardy

  18. $400 Question from Roots andVertices Find the roots of the quadratic equation: Jeopardy

  19. $400 Answer from Roots andVertices Jeopardy

  20. $500 Question from Roots andVertices Find the vertex and x intercepts and y intercept of y=x2-2x-3 Jeopardy

  21. $500 Answer from Roots andVertices (3,0) (-1,0) (0,-3) Vertex (1,-4) Jeopardy

  22. $100 Question from Forms Find the vertex y-3=2(x+1)2: Jeopardy

  23. $100 Answer from Forms (-1,3) Jeopardy

  24. $200 Question from Forms Find the vertex and x and y intercepts: Jeopardy

  25. $200 Answer from Forms Vertex (-5,4) No x intercepts (0,29) Jeopardy

  26. $300 Question from Forms Write the equation the parabola at the right with a vertex at (2,3) in vertex form. Jeopardy

  27. $300 Answer from Forms Jeopardy

  28. $400 Question from Forms Find the vertex and x intercepts and graph. Jeopardy

  29. $400 Answer from Forms Y=(x-3)(x-1) (3,0) (1,0) Vertex (2,-1) Jeopardy

  30. $500 Question from Forms Find the maximum area of a rectangle if the perimeter is 40 feet. Jeopardy

  31. $500 Answer from Forms A=lw=l(20-l) P=2l+2w=40. A=l(20-l) Max occurs when l=10 and w =10 Area =100 Jeopardy

  32. $100 Question from QuadraticFormula Describe the roots of 2x2+x+8=0 Jeopardy

  33. $100 Answer from QuadraticFormula If D=B2-4ac = 1-4(2)(8)= 1-64=-63 2 imaginary conjugate roots Jeopardy

  34. $200 Question from QuadraticFormula Find k so that the equation has 1 solution . Jeopardy

  35. $200 Answer from QuadraticFormula B2-4ac=(-5)2-4(2k)(-3)=0 24k=-25 k=-25/24 Jeopardy

  36. $300 Question from QuadraticFormula Use the quadratic formula to find the roots for Jeopardy

  37. $300 Answer from QuadraticFormula (x-3)*(x-2)=0 X=3,2 Jeopardy

  38. $400 Question from QuadraticFormula The sum of 2 numbers is 5 and their product is 3. Find the numbers Jeopardy

  39. $400 Answer from QuadraticFormula Jeopardy

  40. $500 Question from QuadraticFormula Solve 2ix2-ix +3i=0 Jeopardy

  41. $500 Answer from QuadraticFormula Jeopardy

  42. $100 Question from Hodge- Podge Solve this quadratic equation: Jeopardy

  43. $100 Answer from Hodge- Podge Jeopardy

  44. $200 Question from Hodge- Podge The roots of an equation are 2+i and 2 – i . Find the equations Jeopardy

  45. $200 Answer from Hodge- Podge Sum = 4 Product=4-i2=5 Equation x2-4x+5=0 Jeopardy

  46. $300 Question from Hodge- Podge Write a quadratic function that has x-intercepts of x = 4 and x = -2. max value of 3 Jeopardy

  47. $300 Answer from Hodge- Podge Y=a(x-4)(x+2) Vertex will occur halfway between intercepts at x=1 y max value is 3 3=a(1-4)(1+2) 3=-9a A =-1/3 Jeopardy

  48. $400 Question from Hodge- Podge Simplify Jeopardy

  49. $400 Answer from Hodge- Podge Jeopardy

  50. $500 Question from Hodge- Podge Find the coordinates for the vertex for the parabola that has the equation Jeopardy

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