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 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 10 points How many solutions would the system graphed below have? 10 points - Answer How many solutions would the system graphed below have? 20 points How many solutions would the system graphed below have? 20 points - Answer How many solutions would the system graphed below have? 30 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. x+y=2 -3x + 4y = 36 30 points - Answer 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 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. 1 x 5y 2 2 - x 10y 4 40 points - Answer Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically. 1 x 5y 2 2 - x 10y 4 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. 50 points - Answer 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. 10 points Solve the system using any algebraic method. x =y-5 x + y = 11 10 points - Answer Solve the system using any algebraic method. x =y-5 x + y = 11 20 points Solve the system using any algebraic method. -3x + 2y = -6 5x - 2y = 18 20 points - Answer Solve the system using any algebraic method. -3x + 2y = -6 5x - 2y = 18 30 points Solve the system using any algebraic method. 9x - 5y = -30 x + 2y = 12 30 points - Answer Solve the system using any algebraic method. 9x - 5y = -30 x + 2y = 12 40 points Solve the system using any algebraic method. 2x + 3y = -7 -4x - 5y = 13 40 points - Answer Solve the system using any algebraic method. 2x + 3y = -7 -4x - 5y = 13 50 points Solve the system using any algebraic method. 1 x + 5y = 2 2 -x - 2 0 y = -2 4 50 points - Answer Solve the system using any algebraic method. 1 x + 5y = 2 2 -x - 2 0 y = -2 4 10 points Choose the correct graph for this system of linear inequalities. x 0 y 0 x 5 y -2 10 points - Answer Choose the correct graph for this system of linear inequalities. x 0 y 0 x 5 y -2 20 points Graph the system of linear inequalities. y -3 x 3 y x -1 20 points - Answer Graph the system of linear inequalities. y -3 x 3 y x -1 30 points Graph the system of linear inequalities. x0 y0 x 2y < 8 30 points - Answer Graph the system of linear inequalities. x0 y0 x 2y < 8 40 points Graph the system of linear inequalities. x y7 2x y 5 x 2 40 points - Answer Graph the system of linear inequalities. x y7 2x y 5 x 2 50 points Graph the system of linear inequalities. x y4 x y 1 x y 2 x y2 50 points - Answer Graph the system of linear inequalities. x y4 x y 1 x y 2 x y2 10 points Is the following region bounded or unbounded with the constraints graphed below? EXPLAIN C 5x 6 y x0 y0 x y 10 10 points - Answer Is the following system bounded or unbounded with the constraints graphed below? EXPLAIN x0 y0 x y 10 BOUNDED 20 points Is the following region bounded or unbounded with the constraints graphed below? EXPLAIN C 5x 6 y x0 y0 x y5 3 x 4 y 18 20 points - Answer Is the following region bounded or unbounded with the constraints graphed below? EXPLAIN C 5x 6 y x0 y0 x y5 3 x 4 y 18 UNBOUNDED 30 points Find the minimum and maximum values of the objective function subject to the given constraints C 7x 4y x0 y0 4 x 3 y 24 30 points - Answer Find the minimum and maximum values of the objective function subject to the given constraints C 7x 4y x0 y0 4 x 3 y 24 40 points Find the minimum and maximum values of the objective function subject to the given constraints C 3x 4 y x y 10 x y 5 2 x 4 y 32 40 points - Answer Find the minimum and maximum values of the objective function subject to the given constraints C 3x 4 y x y 10 x y 5 2 x 4 y 32 50 points Find the minimum and maximum values of the objective function subject to the given constraints C 10 x 3 y x0 y0 x y 0 2x y 4 2 x y 13 50 points - Answer Find the minimum and maximum values of the objective function subject to the given constraints C 10 x 3 y x0 y0 x y 0 2x y 4 2 x y 13 10 points Plot the ordered triple in a three-dimensional coordinate system (5, -2, -2) 10 points - Answer Plot the ordered triple in a three-dimensional coordinate system (5, -2, -2) 20 points Plot the ordered triple in a three-dimensional coordinate system (-5, 3, 4) 20 points - Answer Plot the ordered triple in a three-dimensional coordinate system (-5, 3, 4) 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 30 points - Answer Sketch the graph of the equation. Label the points where the graph crosses the x-, y-, and z-axes. 2x+3y+5z=30 40 points Solve the system using any algebraic method. x+2y-z = 3 -x+y+3z = -5 3x+y+2z = 4 40 points - Answer Solve the system using any algebraic method. x+2y-z = 3 -x+y+3z = -5 3x+y+2z = 4 50 points Solve the system using any algebraic method. x+y+2z = 1 x-y+z = 0 3x+3y+6z = 4 50 points - Answer Solve the system using any algebraic method. x+y+2z = 1 x-y+z = 0 3x+3y+6z = 4