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$100 $400 $300$200$400 $200$100$100$400 $200$200$500 $500$300 $200$500 $100$300$100$300 $500$300$400$400$500 Graphing Systems of Equations Substitution.

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Presentation on theme: "$100 $400 $300$200$400 $200$100$100$400 $200$200$500 $500$300 $200$500 $100$300$100$300 $500$300$400$400$500 Graphing Systems of Equations Substitution."— Presentation transcript:

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4 $100 $400 $300$200$400 $200$100$100$400 $200$200$500 $500$300 $200$500 $100$300$100$300 $500$300$400$400$500 Graphing Systems of Equations Substitution Elimination: Addition and Subtraction Elimination: Multiplication Take a Chance

5 Graphing Systems of Equations

6 Substitution

7 Elimination: Addition and Subtraction

8 Elimination: Multiplication

9 Take a Chance

10 GraphingSubstitutionElimination: Add & Sub. Elimination:Multi. Take a Chance $100 $300 $200 $400 $500

11 CATEGORY 1 - $100 When you graph 2 equations and they end up being the same line, the solution is this

12 CATEGORY 1 - $200 When you graph a system of equations, if the lines are parallel, then the solution is this

13 CATEGORY 1 - $300 If you graph a system of equations and the two lines intersect at a point then there are this many solutions to the system

14 CATEGORY 1 - $400 If you were to graph the following system what would be the solution: Y = -x + 4 Y = -x + 1

15 CATEGORY 1 - $500 If you were to graph and solve the following system what would be the solution: Y = -2x + 5 Y + 2x = 5

16 CATEGORY 2 - $100 Solve: Y = 3x X + 2y = -21

17 CATEGORY 2 - $200 Solve: X = 4y 4x – y = 75

18 CATEGORY 2 - $300 Solve: X + 5y = -3 3x – 2y = 8

19 CATEGORY 2 - $400 Solve: 6x – 2y = -4 Y = 3x + 2

20 CATEGORY 2 - $500 Solve: 8x + 2y = 13 4x + y = 11

21 CATEGORY 3 - $100 Solve: 3x – 5y = -16 2x + 5y = 31

22 CATEGORY 3 - $200 Solve: 2x + y = 18 4x – y = 12

23 CATEGORY 3 - $300 Solve: 5x + 2t = 6 9s + 2t = 22

24 CATEGORY 3 - $400 Solve: -3x + 4y = 12 3x – 6y = 18

25 CATEGORY 3 - $500 Solve: 4x + 2y = 28 4x – 3y = 18

26 CATEGORY 4 - $100 You want to use this method when neither variable in the system can be eliminated by simply adding or subtracting the equations.

27 CATEGORY 4 - $200 Solve: 5x – 2y = -15 3x + 8y = 37

28 CATEGORY 4 - $300 Solve: 8x – 3y = -11 2x – 5y = 27

29 CATEGORY 4 - $400 Solve: 4x – 7y = 10 3x + 2y = -7

30 CATEGORY 4 - $500 Solve: 1.8x – 0.3y = 14.4 x – 0.6y = 2.8

31 CATEGORY 5 - $100 If the graphs of the equations in a system have the same slope and different y intercepts, the graph of the system is a pair of __________.

32 CATEGORY 5 - $200 If the graphs of the equations in a system have slopes that are opposite reciprocals, then the system has this many solutions.

33 CATEGORY 5 - $300 If one of the variables in either equation has a coefficient of 1 or -1, then this is the best method to use in solving the system of equations.

34 CATEGORY 5 - $400 If one of the variables has the same coefficient in the two equations, then this is the best method for solving the system of equations.

35 CATEGORY 5 - $500 State which method is best in solving the following system and then solve the system using that method: y = 2x x + 2y = 8

36 CATEGORY 1 - $100 WHAT IS infinitely many solutions?

37 CATEGORY 1 - $200 WHAT IS no solution?

38 CATEGORY 1 - $300 WHAT IS one solution?

39 CATEGORY 1 - $400 WHAT IS no solution?

40 CATEGORY 1 - $500 WHAT IS infinitely many solutions?

41 CATEGORY 2 - $100 WHAT IS (-3, -9) ?

42 CATEGORY 2 - $200 WHAT IS ( 20, 5 ) ?

43 CATEGORY 2 - $300 WHAT IS ( 2, -1 ) ?

44 CATEGORY 2 - $400 WHAT IS infinitely many solutions?

45 CATEGORY 2 - $500 WHAT IS no solution ?

46 CATEGORY 3 - $100 WHAT IS ( 3, 5 ) ?

47 CATEGORY 3 - $200 WHAT IS ( 5, 8) ?

48 CATEGORY 3 - $300 WHAT IS ( 4, -7 ) ?

49 CATEGORY 3 - $400 WHAT IS ( -24, -15 ) ?

50 CATEGORY 3 - $500 WHAT IS ( 6, 2 ) ?

51 CATEGORY 4 - $100 WHAT IS elimination using multiplication ?

52 CATEGORY 4 - $200 WHAT IS ( -1, 5 ) ?

53 CATEGORY 4 - $300 WHAT IS ( -4, -7 ) ?

54 CATEGORY 4 - $400 WHAT IS ( -1, -2 ) ?

55 CATEGORY 4 - $500 WHAT IS ( 10, 12 ) ?

56 CATEGORY 5 - $100 WHAT are parallel lines?

57 CATEGORY 5 - $200 WHAT IS one solution?

58 CATEGORY 5 - $300 WHAT IS substitution ?

59 CATEGORY 5 - $400 WHAT IS elimination using subtraction ?

60 CATEGORY 5 - $500 WHAT IS substitution and ( 1 3/5, 3 1/5 ) ?

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62 Writing and Solving Systems of Equations

63 FINAL CATEGORY The difference between the length and width of a rectangle is 7 centimeters. Find the dimensions of the rectangle if its perimeter is 50 centimeters.

64 WHAT IS 16 cm by 9 cm ? FINAL CATEGORY

65 END OF GAME


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