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Systems Jeopardy Ordered Pair Solutions Graphing Systems EliminationSubstitutionWord Problems 10 20 30 40 50.

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Presentation on theme: "Systems Jeopardy Ordered Pair Solutions Graphing Systems EliminationSubstitutionWord Problems 10 20 30 40 50."— Presentation transcript:

1 Systems Jeopardy Ordered Pair Solutions Graphing Systems EliminationSubstitutionWord Problems 10 20 30 40 50

2 Ordered Pair Solutions– 10 points Does the given ordered pair solve the system? (4,2) 2x + 5y = 2 3x – 2y = -16 no

3 Ordered Pair Solutions– 20 points Does the given ordered pair solve the system? (4,1) x + y = 5 x – y = 3 yes

4 Ordered Pair Solutions– 30 points Does the given ordered pair solve the system? (4,2) 2x + 5y = 2 3x – 2y = -16 no

5 Ordered Pair Solutions– 40 points Does the given ordered pair solve the system? (-5, 2) y + x = -3 2x + -3y = -16 yes

6 Ordered Pair Solutions– 50 points Does the given ordered pair solve the system? (2.5, 4.5) x – y = 2 5x + 4y = 30.5 no

7 Graphing – 10 points y = 2x + 5 y = 4x + 3 (1,7)

8 Graphing – 20 points y = 3x + 2 y = 6x - 1 (1,5)

9 Graphing – 30 points 5x – 3y = 47 6x – y = 7 (-2, -19)

10 Graphing – 40 points 3x + 2y = 18 x + y = 1 (6,-15)

11 Graphing – 50 points y = 4 8x - 4y = -16 (0,4)

12 Elimination– 10 points x + y = 4 x – y = 6 (5,-1)

13 Elimination – 20 points 9x + 2y = 4 9x – y = 25 (2,-7)

14 Elimination – 30 points 4x – 5y = 22 x + 2y = -1 (3,-2)

15 Elimination – 40 points 4x + 3y = 7 7x + 2y = 9 (1,1)

16 Elimination – 50 points 2x – 3y = 16 3x + 4y = 7 (5,-2)

17 Substitution– 10 points x = 2 3x + 2y = 4 (2, -1)

18 Substitution– 20 points x = y + 1 x + 2y = 7 (3,2)

19 Substitution– 30 points 3x + y = 4 4x – 3y = 1 (1,1)

20 Substitution– 40 points 3x – y = 2 y = 2x – 9 (-7,-23)

21 Substitution– 50 points x + y = 12 3x – 2y = 6 (6,6)

22 Word Problems – 10 points You are selling cookies at a bake sale. Small cookies sell for $.50 a piece and large cookies sell for $.75 a piece. Write an equation to represent selling $50 worth of cookies..50x +.75y = 50

23 Word Problems – 20 points You are selling cookies at a bake sale. Small cookies sell for $.50 a piece and large cookies sell for $.75 a piece. You sold a total of 75 cookies for a total of $48.75. Write a linear system to represent this situation. Let x represent small cookies and y represent large cookies. x + y = 75.50x +.75y = 48.75

24 Word Problems – 30 points You are selling cookies at a bake sale. Small cookies sell for $.50 a piece and large cookies sell for $.75 a piece. You sold a total of 75 cookies for a total of $48.75. Write a linear system to represent this situation. Let x represent small cookies and y represent large cookies. How many of each cookie were sold? (30, 45)

25 Word Problems – 40 points A ski resort has lessons for $50 per hour, plus $100 for rental of equipment. Another resort has lessons for $75 per hour, plus $40 for the rental of equipment. Write a linear system to represent the cost C of a lesson based upon the number of hours H of the lesson. C = 50h + 100 C = 75h + 40

26 Word Problems – 50 points A ski resort has lessons for $50 per hour, plus $100 for rental of equipment. Another resort has lessons for $75 per hour, plus $40 for the rental of equipment. Write a linear system to represent the cost C of a lesson based upon the number of hours H of the lesson. For how many hours would the cost of the lessons be the same? (Round to the nearest half hour if necessary.) 73 hours


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