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Alg 2 - Chapter 3 Jeopardy Solving Systems by Graphing Solving Systems Algebraically Graph & Solving Systems of Linear Inequalities Linear Programming.

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Presentation on theme: "Alg 2 - Chapter 3 Jeopardy Solving Systems by Graphing Solving Systems Algebraically Graph & Solving Systems of Linear Inequalities Linear Programming."— Presentation transcript:

1 Alg 2 - Chapter 3 Jeopardy Solving Systems by Graphing Solving Systems Algebraically Graph & Solving Systems of Linear Inequalities Linear Programming Solving Systems in Three Variables 10 20 30 40 50

2 10 points How many solutions would the system graphed below have?

3 10 points - Answer How many solutions would the system graphed below have?

4 20 points How many solutions would the system graphed below have?

5 20 points - Answer

6 Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically. 30 points x + y = 2 -3x + 4y = 36

7 Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically. x + y = 2 -3x + 4y = 36 30 points - Answer

8 40 points Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.

9 Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically. 40 points - Answer

10 50 points You are on a prom decorating committee and are in charge of buying balloons. You want to use both latex and Mylar balloons. The latex balloons cost $0.10 each and the Mylar balloons cost $0.50 each. You need 125 balloons and you have $32.50 to spend. How many of each can you buy? Write both equations, graph it and answer the question in a short sentence.

11 You are on a prom decorating committee and are in charge of buying balloons. You want to use both latex and Mylar balloons. The latex balloons cost $0.10 each and the Mylar balloons cost $0.50 each. You need 125 balloons and you have $32.50 to spend. How many of each can you buy? Write both equations, graph it and answer the question in a short sentence. 50 points - Answer

12 Solve the system using any algebraic method. 10 points x = y - 5 x + y = 11

13 Solve the system using any algebraic method. x = y - 5 x + y = 11 10 points - Answer

14 20 points Solve the system using any algebraic method. -3x + 2y = -6 5x - 2y = 18

15 Solve the system using any algebraic method. 20 points - Answer -3x + 2y = -6 5x - 2y = 18

16 Solve the system using any algebraic method. 9x - 5y = -30 x + 2y = 12 30 points

17 Solve the system using any algebraic method. 9x - 5y = -30 x + 2y = 12 30 points - Answer

18 40 points Solve the system using any algebraic method. 2x + 3y = -7 -4x - 5y = 13

19 Solve the system using any algebraic method. 2x + 3y = -7 -4x - 5y = 13 40 points - Answer

20 50 points Solve the system using any algebraic method.

21 50 points - Answer

22 10 points Choose the correct graph for this system of linear inequalities.

23 10 points - Answer

24 20 points Graph the system of linear inequalities.

25 20 points - Answer

26 30 points Graph the system of linear inequalities.

27 30 points - Answer

28 40 points Graph the system of linear inequalities.

29 40 points - Answer

30 50 points Graph the system of linear inequalities.

31 50 points - Answer

32 10 points Is the following region bounded or unbounded with the constraints graphed below? EXPLAIN

33 Is the following system bounded or unbounded with the constraints graphed below? EXPLAIN 10 points - Answer BOUNDED

34 Is the following region bounded or unbounded with the constraints graphed below? EXPLAIN 20 points

35 Is the following region bounded or unbounded with the constraints graphed below? EXPLAIN 20 points - Answer UNBOUNDED

36 30 points Find the minimum and maximum values of the objective function subject to the given constraints

37 Find the minimum and maximum values of the objective function subject to the given constraints 30 points - Answer

38 40 points Find the minimum and maximum values of the objective function subject to the given constraints

39 Find the minimum and maximum values of the objective function subject to the given constraints 40 points - Answer

40 50 points Find the minimum and maximum values of the objective function subject to the given constraints

41 Find the minimum and maximum values of the objective function subject to the given constraints 50 points - Answer

42 10 points Plot the ordered triple in a three-dimensional coordinate system (5, -2, -2)

43 Plot the ordered triple in a three-dimensional coordinate system (5, -2, -2) 10 points - Answer

44 20 points Plot the ordered triple in a three-dimensional coordinate system (-5, 3, 4)

45 Plot the ordered triple in a three-dimensional coordinate system (-5, 3, 4) 20 points - Answer

46 30 points Sketch the graph of the equation. Label the points where the graph crosses the x-, y-, and z-axes. 2x+3y+5z=30

47 Sketch the graph of the equation. Label the points where the graph crosses the x-, y-, and z-axes. 2x+3y+5z=30 30 points - Answer

48 40 points Solve the system using any algebraic method. x+2y-z = 3 -x+y+3z = -5 3x+y+2z = 4

49 Solve the system using any algebraic method. x+2y-z = 3 -x+y+3z = -5 3x+y+2z = 4 40 points - Answer

50 50 points Solve the system using any algebraic method. x+y+2z = 1 x-y+z = 0 3x+3y+6z = 4

51 Solve the system using any algebraic method. x+y+2z = 1 x-y+z = 0 3x+3y+6z = 4 50 points - Answer


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