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