Systems ofEquations

Substitution Elimination Inequalities Systems ofInequalities

Q $100

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Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

What is the solution to this system of equations?

Jeopardy

3 3

7

y x

y x

Jeopardy

A system of equations has been graphed at the right. What is the solution to this system of equations?

Jeopardy

Each tick mark = 1

Jeopardy

(1,2) is a solution to which system of equations?

Jeopardy

4 2)

3

y xa

y x

1)

3

y xc

y x

4 4)

8 6

y xb

y x

Jeopardy

Given the system of equations, what do you know about their solution?

Jeopardy

3 2

6 2

y x

y x

Jeopardy

Jeopardy

x y

-2 0

0 2

2 4

4 6

6 8

x y

-1 5

0 8

1 11

2 14

3 17

Each table represents a set of linear data. What is the solution to this system of equations?

Jeopardy

Solve this system of equations by substitution (or any other method):

Jeopardy

3

14 4

d t

d t

Jeopardy

Jeopardy

Solve this system of equations by substitution:

1.5

12 2.5

d t

d t

Jeopardy

Jeopardy

Solve this system of equations by substitution:

232 8

y x

y x

Jeopardy

Jeopardy

Solve this system of equations by substitution:

2 3

12

2

y x

y x

Jeopardy

Which system of equations is already set up to use the substitution method (or graphing) to solve for the solution?

Jeopardy

3 4 12)2 3 8

x ya

x y

12

3)3

64

y xb

y x

3 1 12)3 3 12

x yc

x y

Jeopardy

Jeopardy

You could use the elimination method or what other method to solve for the system?

3 7 8

5 8 6

x y

x y

Jeopardy

Jeopardy

Solve this system of equations by elimination (or any other method taught in class):

60

20

y x

y x

Jeopardy

Jeopardy

Solve this system of equations by elimination(or any other method taught in class):

6 5 20

6 10 25

x y

x y

Jeopardy

Jeopardy

Solve this system of equations by elimination(or any other method taught in class):

15

22 1 10

x y

x y

Jeopardy

Jeopardy

Solve this system of equations by elimination(or any other method taught in class):

12

31 1

02 6

x y

x y

Jeopardy

The shaded region show what statement:

Jeopardy

11

2y x

Jeopardy

Write an inequality statement for the graph at the right.

Jeopardy

Jeopardy

What inequality statement is graphed at the right?

Jeopardy

Jeopardy

Jeopardy

What inequality statement is graphed at the right?

Jeopardy

Jeopardy

What inequality statement is graphed at the right?

Jeopardy

The dark blue section represents the solution of a system of inequalities.

Jeopardy

True or FalseThe points (4,1) is in the solution set.

Jeopardy

One of the inequalities in the system is:

Jeopardy

The dark blue section represents the solution of a system of inequalities.

6 2y x 6 2y x 3

42

y x

Jeopardy

The dark blue section represents the solution of a system of inequalities. Complete this statement:

Jeopardy(2, ___) is a solution of the system of inequalities.

Jeopardy

One inequality that is graphed at the right is

What is the other inequality that yields the green region?

Jeopardy

2y x

Jeopardy

Write a system of inequalities for the solutionshown on the graph.

Jeopardy

Jeopardy

Jeopardy

Complete the following statements:

1.A system of two linear equations has no solution if …2.A system of two linear equations has infinitely many solutions if …3.A system of two linear equations has exactly one solution if …

Jeopardy