alg 2 - chapter 3 jeopardy solving systems by graphing solving systems algebraically graph &...
TRANSCRIPT
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?
How many solutions would the system graphed below have?
20 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.
30 points
x + y = 2-3x + 4y = 36
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
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
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
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.
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
Solve the system using any algebraic method.
10 points
x = y - 5 x + y = 11
Solve the system using any algebraic method.
x = y - 5 x + y = 11
10 points - Answer
20 points
Solve the system using any algebraic method.
-3x + 2y = -6 5x - 2y = 18
Solve the system using any algebraic method.20 points - Answer
-3x + 2y = -6 5x - 2y = 18
Solve the system using any algebraic method.
9x - 5y = -30 x + 2y = 12
30 points
Solve the system using any algebraic method. 9x - 5y = -30 x + 2y = 12
30 points - Answer
40 points
Solve the system using any algebraic method.
2x + 3y = -7 -4x - 5y = 13
Solve the system using any algebraic method. 2x + 3y = -7 -4x - 5y = 13
40 points - Answer
50 points
Solve the system using any algebraic method.
1 x + 5y = 2 2-x - 20y = -24
Solve the system using any algebraic method.
50 points - Answer
1x + 5y = 2
2-x - 20y = -24
10 pointsChoose the correct graph for this system of linear inequalities.
y 0
x
x
y
0
2
5
-
Choose the correct graph for this system of linear inequalities.
y 0
x
x
y
0
2
5
-
10 points - Answer
20 points
Graph the system of linear inequalities.
-1
-3 3 y x
y x
Graph the system of linear inequalities.
-1
-3 3 y x
y x
20 points - Answer
30 points
Graph the system of linear inequalities. 0
2 8
<
0
y
x
x y
Graph the system of linear inequalities. 0
2 8
<
0
y
x
x y
30 points - Answer
40 points
Graph the system of linear inequalities.
2
2
5
7
x
x
x
y
y
Graph the system of linear inequalities.
2
2
5
7
x
x
x
y
y
40 points - Answer
50 points
Graph the system of linear inequalities. 4
1
2
2
x y
y
x
x y
y
x
Graph the system of linear inequalities. 4
1
2
2
x y
y
x
x y
y
x
50 points - Answer
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
Is the following system bounded or unboundedwith the constraints graphed below? EXPLAIN
0
10
0
y
x
x y
10 points - Answer
BOUNDED
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
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
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
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
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
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
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
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
10 points
Plot the ordered triple in a three-dimensionalcoordinate system
(5, -2, -2)
Plot the ordered triple in a three-dimensional coordinate system(5, -2, -2)
10 points - Answer
20 points
Plot the ordered triple in a three-dimensional coordinate system
(-5, 3, 4)
Plot the ordered triple in a three-dimensional coordinate system(-5, 3, 4)
20 points - Answer
30 pointsSketch the graph of the equation. Label the points
where the graph crosses the x-, y-, and z-axes.
2x+3y+5z=30
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
40 pointsSolve the system using any algebraic method.
x+2y-z = 3-x+y+3z = -53x+y+2z = 4
Solve the system using any algebraic method.x+2y-z = 3
-x+y+3z = -53x+y+2z = 4
40 points - Answer
50 pointsSolve the system using any algebraic method.
x+y+2z = 1x-y+z = 0
3x+3y+6z = 4
Solve the system using any algebraic method.x+y+2z = 1x-y+z = 0
3x+3y+6z = 4
50 points - Answer