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**Solving Systems of Equations and Inequalities Jeopardy**

Graphing Substitution In 3 Variables Elimination Method Inequalities Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

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**$100 Question from Graphing**

Solve and graph by hand: y = x - 2 y = -2x + 7

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$100 Answer from Graphing (3, 1)

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**$200 Question from Graphing**

Solve by hand: y = 3x + 4 y = 3x – 2

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$200 Answer from Graphing No solution since the lines are parallel

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**$300 Question from Graphing**

Solve the system by hand: 2x + 4y = 12 x + y = 2

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$300 Answer from Graphing (-2, 4)

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**$400 Question from Graphing**

Solve the system by graphing and state whether the system is consistent or inconsistent. 7x – y = 6 -7x+y = -6

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**Solution is all real numbers and it is consistent.**

$400 Answer from Graphing Solution is all real numbers and it is consistent.

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**$500 Question from Graphing**

Solve the system by graphing: x = 10 x = y - 10

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$500 Answer from Graphing (10, 20)

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**$100 Question from Substitution**

Solve the system by substitution: 4x + 3y = 4 y = 2x - 7

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**$100 Answer from Substitution**

(2.5, -2)

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**$200 Question from Substitution**

Solve by substitution. 2x – 3y = 6 x + y = -12

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**$200 Answer from Substitution**

(-6, -6)

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**$300 Question from Substitution**

Solve by substitution. -y = -3x 4x + 3y = 26

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**$300 Answer from Substitution**

(2, 6)

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**$400 Question from Substitution**

Solve by substitution. y = 5x 4x + 2y = 7

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**$400 Answer from Substitution**

(.5, 2.5)

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**$500 Question from Substitution**

Solve by substitution and state whether the system is dependent or independent. y = 2x + 3 5x – 4y = 6

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**$500 Answer from Substitution**

(-6, -9) and it is independent

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**$100 Question from In 3 Variables**

Solve. 3x – y + z = 3 y = 1 z = 1

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**$100 Answer from In 3 Variables**

(1, 1, 1)

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**$200 Question from In 3 Variables**

Solve x + 2y + 3z = 6 y + 2z = 0 z = 2

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**$200 Answer from In 3 Variables**

(8, -4, 2)

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**$300 Question from In 3 Variables**

3x + y + z = 7 x + 3y – z = 13 y = 2x - 1

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**$300 Answer from In 3 Variables**

(2, 3, -2)

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**$400 Question from In 3 Variables**

Solve. x – y – 2z = 4 -x + 2y + z = 1 -x + y – 3z = 11

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**$400 Answer from In 3 Variables**

(0, 2, -3)

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**$500 Question from In 3 Variables**

Solve. x + 2y + z = 4 2x – y + 4z = -8 -3x + y – 2z = -1

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**$500 Answer from In 3 Variables**

(3, 2, -3)

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**$100 Question from Elimination Method**

Solve by elimination x + 2y = 10 x + y = 6

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**$100 Answer from Elimination Method**

(2, 4)

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**$200 Question from Elimination Method**

Solve by elimination. 5x + 3y = 30 3x + 3y = 19

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**$200 Answer from Elimination Method**

(6, 0)

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**$300 Question from Elimination Method**

Solve by elimination. 4x – 6y = -26 -2x + 3y = 13

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**$300 Answer from Elimination Method**

All Real numbers – coinciding lines

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**$400 Question from Elimination Method**

Solve by elimination 5x – 2y = -19 2x + 3y = 0

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**$400 Answer from Elimination Method**

(-3, 2)

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**$500 Question from Elimination Method**

Solve by elimination x + 3y = 7 2x – y = 7

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**$500 Answer from Elimination Method**

(4, 1)

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**$100 Question from Inequalities**

The solution to a system of Inequalities is _______________.

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**$100 Answer from Inequalities**

The feasible region - the area of the graph where the shaded areas overlap.

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**$200 Question from Inequalities**

Solve. x > 3 y < 4

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**$200 Answer from Inequalities**

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**$300 Question from Inequalities**

State the difference in solutions to equalities and inequalities.

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**$300 Answer from Inequalities**

In equalities the solution is the a point (point of intersection) and in inequalities the solution is the overlapping shaded areas.

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**$400 Question from Inequalities**

Graph the system of inequalities to find the feasible region. y > -1 y < 2x + 1

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**$400 Answer from Inequalities**

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**$500 Question from Inequalities**

Give an example of a system of equations containing no solutions.

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**$500 Answer from Inequalities**

Answer should be any two equations that have the same slope. Meaning that the lines are parallel.

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Final Jeopardy How can learning to solve systems of equations help solve real life situations?

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Final Jeopardy Answer Answers can vary – Check with the teacher!

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