1. Solving Systems of Equations and Inequalities Jeopardy Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Graphing Substitution Elimination Mixed Applications Inequalities

2. $100 Question from Graphing

3. $100 Answer from Graphing (3, 1)

4. $200 Question from Graphing Solve by graphing: y = 3x + 4 y = 3x – 2

5. $200 Answer from Graphing No solution since the lines are parallel

6. $300 Question from Graphing Solve the system by graphing: 2x + 4y = 12 x + y = 2

7. $300 Answer from Graphing (-2, 4)

8. $400 Question from Graphing Solve the system by graphing 7x – y = 6 -7x+y = -6

9. $400 Answer from Graphing Solution is all real numbers

10. $500 Question from Graphing Solve the system by graphing: x = 10 x = y - 10

11. $500 Answer from Graphing (10, 20)

12. $100 Question from Substitution Solve the system by substitution: 4x + 3y = 4 y = 2x - 7

13. $100 Answer from Substitution (2.5, -2)

14. $200 Question from Substitution Solve by substitution. 2x – 3y = 6 x + y = -12

15. $200 Answer from Substitution (-6, -6)

16. $300 Question from Substitution Solve by substitution. -y = -3x 4x + 3y = 26

17. $300 Answer from Substitution (2, 6)

18. $400 Question from Substitution Solve by substitution. y = 5x 4x + 2y = 7

19. $400 Answer from Substitution (.5, 2.5)

20. $500 Question from Substitution Solve by substitution y = 2x + 3 5x – 4y = 6

21. $500 Answer from Substitution (-6, -9)

22. $100 Question from Elimination Solve this system of equations by elimination

23. $100 Answer from Elimination (20,40)

24. $200 Question from Elimination Solve this system of equations by elimination

25. $200 Answer from Elimination

26. $300 Question from Elimination Solve this system of equations by elimination

27. $300 Answer from Elimination Infinitely many solutions!!

28. $400 Question from Elimination Solve this system of equations by elimination

29. $400 Answer from Elimination (1,3)

30. $500 Question from Elimination Solve this system of equations by elimination

31. $500 Answer from Elimination (2,1)

32. $100 Question from Mixed Applications The sum of two numbers is 126. The second number is 6 less than 3 times the first number. Find the 2 numbers.

33. $100 Answer from Mixed Applications The first number is 33 and the 2 nd number is 93

34. $200 Question from Mixed Applications Two angles are complementary. The first Angle measure is 3 less than 2 times the 2 nd angle measure. Find the two angle measures.

35. $200 Answer from Mixed Applications The first angle is 31 degrees and the 2 nd angle is 59 degrees

36. $300 Question from Mixed Applications Rollerblading: You can only travel 3 miles an hour against the wind, which is blowing at a constant speed. You travel 8 miles an hour with the wind. Write and solve a system of equations to find the average speed when there is no wind and the speed of the wind.

37. $300 Answer from Mixed Applications Your rate without wind is 5.5 mph and the rate of the wind is 2.5 mph.

38. $400 Question from Mixed Applications You will be making hanging flower baskets. The plants you have picked out are blooming annuals and non-blooming annuals. The blooming annuals cost $3.20 each and the non-blooming annuals cost $1.50 each. You bought a total of 24 plants for $49.60. Write a linear system of equations that you can use to find how many of each type of plant you bought.

39. $400 Answer from Mixed Applications You have 16 non-blooming annuals and 8 blooming annuals.

40. $ 500 Question from Mixed Applications A fishing barge is moving at a rate of 3.8 miles per hour upstream. The fishing barge returns downstream at a rate of 8 miles per hour. The speed of the current remains constant. Write and solve a system of equations to find the average speed of the barge in still water and the speed of the current.

41. $500 Answer from Mixed Applications The rate of the barge is 5.9 mi/h and the rate of the current is 2.1 mi/hr

42. $100 Question from Inequalities Graph the system of inequalities. x ≥ 0 y ≥ 0 2x + y < 3

43. $100 Answer from Inequalities Graph the system of inequalities. x ≥ 0 y ≥ 0 2x + y < 3

44. $200 Question from Inequalities Solve.x > 3 y < 4

45. $200 Answer from Inequalities

46. $300 Question from Inequalities State the difference in solutions to equalities and inequalities.

47. $300 Answer from Inequalities In equations the solution is the a point (point of intersection) and in inequalities the solution is the overlapping shaded areas.

48. $400 Question from Inequalities

49. $400 Answer from Inequalities

50. $500 Question for Inequalities Write a system of inequalities for the shaded region.

51. $500 Answer from Inequalities

52. Final Jeopardy Category Application of Linear Inequalities Place Team Wagers!!

53. Final Jeopardy Question You make $2 dollars for every cupcake you sell and $3 dollars for every pack of Cookies you sell. You sell at least 3 packs of Cookies and 4 cupcakes. You need to make at least $24. Shade the feasible region and state 2 possible solutions.

54. Final Jeopardy Answer Answers can vary – Check with the teacher!