1. ALGEBRA II
Jeopardy
Linear Systems

2. Classifying
Graphing
Substitution
Elimination
Inequalities
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

3. The word used to classify this linear system:
Classifying 100 Points
The word used to classify this linear system:
x + y = 3
y = 2x - 3

4. Classifying 100 Points
What is Independent?

5. This word is used to classify this linear system:
Classifying 200 Points
This word is used to classify this linear system:
2x + y = 3
y = -2x - 1

6. Classifying 200 Points
What is inconsistent?

7. This word is used to describe this linear system:
Classifying 300 Points
This word is used to describe this linear system:
x + 3y = 9
-2x - 6y = -18

8. Classifying 300 Points
What is dependent?

9. This is the name given to a linear system with no solutions.
Classifying 400 Points
This is the name given to a linear system with no solutions.

10. Classifying 400 Points
What is inconsistent?

11. This is the number of solutions a dependent system has.
Classifying 500 Points
This is the number of solutions a dependent system has.

12. Classifying 500 Points
What is dependent?

13. Graphing 100 Points This is the solution to the system y = x - 2
x + y = 10
which can be found by graphing.

14. Graphing 100 Points
What is (6, 4)?

15. Graphing 200 Points This is the solution to the system y = 7 - x
x + 3y = 11
which can be found by graphing.

16. Graphing Points
What is (5,2)?

17. This is the solution to the system
Graphing Points
This is the solution to the system
y = 2/3x - 5
y = -2/3x - 3
(found by graphing)

18. Graphing 300 Points
What is (1.5, -4)?

19. This is the solution to the system
Graphing Points
This is the solution to the system
4x + 3y = -16
-x + y = 4
(found by graphing).

20. Graphing Points
What is (-4,0)?

21. This is the solution to the system
Graphing Points
This is the solution to the system
x - y = -1
2x + 2y = 10
(found by graphing).

22. Graphing Points
What is (2,3)?

23. This solution can be found by using substitution to solve this system:
Substitution 100 Points
This solution can be found by using substitution to solve this system:
y = x + 1
2x + y = 7

24. Substitution Points
What is (2,3)?

25. Substitution 200 Points
This would be a convenient substitution to make in solving this system:
x = y - 2
3x - y = 6

26. Substitution Points
What is “y - 2”?

27. This solution can be found by using substitution to solve this system:
Substitution 300 Points
This solution can be found by using substitution to solve this system:
2y - 3x = 4
x = -4

28. Substitution 300 Points
What is (-4,-4)?

29. Substitution Points
Suppose your drama club is planning a production that will cost $525 for the set and $150 per performance. A sold-out performance will bring in $325. Equations to model the cost C and the income I for p sold-out performances will find this number of performances that are needed to make the cost equal to the income.

30. Substitution 400 Points What is 3 performances?
Equations: C = p; I = 325p
(Set them equal: p = 325p)
What is 3 performances?

31. Substitution Points
A group of 60 people attend a ball game. There were twice as many children as adults in the group. This is the number of children that were in the group (set up a system of equations and use substitution to solve).

32. Substitute 2a in for c and solve.
Substitution Points
Equations: a + c = 60 ; c = 2a
Substitute 2a in for c and solve.
What is 40 children?

33. Elimination 100 Points
This is the number you would use to prepare the system for elimination:
3x + 4y = -1
x - 2y = 7

34. Elimination 100 Points
What is -3? Or
What is 2?

35. Elimination 200 Points If you used elimination to solve the system
x + y = 10
x - y = 2
you would get this solution.

36. Elimination 200 Points
What is (6,4)?

37. Elimination 300 Points If you used elimination to solve the system
x + 2y = 10
3x - y = 9
you would get this solution.

38. Elimination 300 Points
What is (4,3)?

39. (Must write and solve a system of equations using elimination.)
Elimination 400 Points
Suppose you bought eight oranges and one grapefruit for a total of $ Later that day, you bought six oranges and three grapefruits for a total of $ This is the price of each orange and each grapefruit.
(Must write and solve a system of equations using elimination.)

40. What are oranges for $0.50 and grapefruits $0.60?
Elimination 400 Points
8r + 1g = 4.60
6r + 3g = 4.80
What are oranges for $0.50 and grapefruits $0.60?

41. Elimination 500 Points
Jen has $13,000 to invest in stocks and bonds. Stocks can earn 12% annually and bonds can earn 9%. This is how much should be invested in each to earn an annual return of $1395.
7500
5500

42. What is $7500 in stocks and $5500 in bonds?
Elimination 500 Points
s + b = 13,000
.12s + .09b = 1395
What is $7500 in stocks and $5500 in bonds?

43. This graph shows the solutions to
Inequalities 100 Points
This graph shows the solutions to
y > x + 2
y < -x + 1

44. Inequalities 100 Points

45. Inequalities 200 Points This graph shows the solutions to y < x + 3

46. Inequalities Points

47. This graph shows solutions to
Inequalities 300 Points
This graph shows solutions to
x + y < 5
y < 3x - 2

48. Inequalities 300 Points

49. Inequalities Points
Suppose you are buying two kinds of notebooks for school. A spiral notebook costs $2 and a three-ring notebook costs $5. You must have at least six notebooks. The cost of the notebooks can be no more $20. This is the system that models the situation.

50. Inequalities 400 Points What is 2s + 5t < 20 and s + t > 6?
Let s be spiral notebooks; Let t be three-rings
What is 2s + 5t < 20 and s + t > 6?

51. Inequalities 500 Points
A camp counselor needs no more than 30 campers to sign up for two mountain hikes. The counselor needs at least 10 campers on the low trail and at least 5 campers on the high trail. This is the graph that shows all possible combinations of campers.

52. Inequalities 500 Points
x + y < 30
x > 10
y > 5