Alg 2 - Chapter 3 Jeopardy
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Transcript of Alg 2 - Chapter 3 Jeopardy
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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
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10 points
How many solutions would the system graphed below have?
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10 points - Answer
How many solutions would the system graphed below have?
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20 points
How many solutions would the system graphed below have?
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How many solutions would the system graphed below have?
20 points - Answer
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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
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Graph the linear system and tell how many solutions it has. Ifthere is exactly one solution, estimate the solution and check it algebraically.
x + y = 2-3x + 4y = 36
30 points - Answer
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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 5 2
2 - 10 4
x y
x y
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Graph the linear system and tell how many solutions it has. Ifthere is exactly one solution, estimate the solution and check it algebraically. 1
5 22
- 10 4
x y
x y
40 points - Answer
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50 pointsYou are on a prom decorating committee and are in charge of buying balloons. You want to use both latex and Mylar balloons. The latex balloonscost $0.10 each and the Mylar balloons cost $0.50each. 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.
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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
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Solve the system using any algebraic method.
10 points
x = y - 5 x + y = 11
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Solve the system using any algebraic method.
x = y - 5 x + y = 11
10 points - Answer
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20 points
Solve the system using any algebraic method.
-3x + 2y = -6 5x - 2y = 18
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Solve the system using any algebraic method.20 points - Answer
-3x + 2y = -6 5x - 2y = 18
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Solve the system using any algebraic method.
9x - 5y = -30 x + 2y = 12
30 points
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Solve the system using any algebraic method. 9x - 5y = -30 x + 2y = 12
30 points - Answer
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40 points
Solve the system using any algebraic method.
2x + 3y = -7 -4x - 5y = 13
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Solve the system using any algebraic method. 2x + 3y = -7 -4x - 5y = 13
40 points - Answer
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50 points
Solve the system using any algebraic method.
1 x + 5y = 2 2-x - 20y = -24
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Solve the system using any algebraic method.
50 points - Answer
1x + 5y = 2
2-x - 20y = -24
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10 pointsChoose the correct graph for this system of linear inequalities.
y 0
x
x
y
0
2
5
-
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Choose the correct graph for this system of linear inequalities.
y 0
x
x
y
0
2
5
-
10 points - Answer
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20 points
Graph the system of linear inequalities.
-1
-3 3 y x
y x
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Graph the system of linear inequalities.
-1
-3 3 y x
y x
20 points - Answer
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30 points
Graph the system of linear inequalities. 0
2 8
<
0
y
x
x y
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Graph the system of linear inequalities. 0
2 8
<
0
y
x
x y
30 points - Answer
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40 points
Graph the system of linear inequalities.
2
2
5
7
x
x
x
y
y
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Graph the system of linear inequalities.
2
2
5
7
x
x
x
y
y
40 points - Answer
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50 points
Graph the system of linear inequalities. 4
1
2
2
x y
y
x
x y
y
x
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Graph the system of linear inequalities. 4
1
2
2
x y
y
x
x y
y
x
50 points - Answer
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10 points
Is the following region bounded or unboundedwith the constraints graphed below? EXPLAIN
5 6
0
0
10
x
x
C x y
y
y
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Is the following system bounded or unboundedwith the constraints graphed below? EXPLAIN
0
10
0
y
x
x y
10 points - Answer
BOUNDED
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Is the following region bounded or unboundedwith the constraints graphed below? EXPLAIN
5 6
0
3 4 18
5
0
x
x
y
x
C x
y
y
y
20 points
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Is the following region bounded or unboundedwith the constraints graphed below? EXPLAIN
5 6
0
3 4 18
5
0
x
x
y
x
C x
y
y
y
20 points - Answer
UNBOUNDED
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30 pointsFind the minimum and maximum values of the
objective function subject to the given constraints7 4
0
3 24
4
0y
x y
x
y
C
x
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Find the minimum and maximum values of the objective function subject to the given constraints
7 4
0
3 24
4
0y
x y
x
y
C
x
30 points - Answer
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40 pointsFind the minimum and maximum values of the
objective function subject to the given constraints3 4
10
2 4 32
5
C x y
x y
x
x
y
y
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Find the minimum and maximum values of the objective function subject to the given constraints
3 4
10
2 4 32
5
C x y
x y
x
x
y
y
40 points - Answer
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50 pointsFind the minimum and maximum values of the
objective function subject to the given constraints10 3
0
2 1
4
3
2
0
0y
x y
y
x
y
x
C
y
x
x
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Find the minimum and maximum values of the objective function subject to the given constraints
10 3
0
2 1
4
3
2
0
0y
x y
y
x
y
x
C
y
x
x
50 points - Answer
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10 points
Plot the ordered triple in a three-dimensionalcoordinate system
(5, -2, -2)
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Plot the ordered triple in a three-dimensional coordinate system(5, -2, -2)
10 points - Answer
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20 points
Plot the ordered triple in a three-dimensional coordinate system
(-5, 3, 4)
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Plot the ordered triple in a three-dimensional coordinate system(-5, 3, 4)
20 points - Answer
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30 pointsSketch the graph of the equation. Label the points
where the graph crosses the x-, y-, and z-axes.
2x+3y+5z=30
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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
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40 pointsSolve the system using any algebraic method.
x+2y-z = 3-x+y+3z = -53x+y+2z = 4
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Solve the system using any algebraic method.x+2y-z = 3
-x+y+3z = -53x+y+2z = 4
40 points - Answer
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50 pointsSolve the system using any algebraic method.
x+y+2z = 1x-y+z = 0
3x+3y+6z = 4
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Solve the system using any algebraic method.x+y+2z = 1x-y+z = 0
3x+3y+6z = 4
50 points - Answer