solving systems of equations and inequalities jeopardy q $100 q $200 q $300 q $400 q $500 q $100 q...
TRANSCRIPT
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Solving Systems of Equations and Inequalities Jeopardy
Q $100
Q $200
Q $300
Q $400
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
Graphing SubstitutionIn 3
VariablesElimination
MethodInequalities
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$100 Question from Graphing
Solve and graph by hand:y = x - 2y = -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 + 4y = 3x – 2
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$200 Answer from Graphing
No solution sincethe 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 andstate whether the system is consistent or inconsistent.
7x – y = 6-7x+y = -6
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$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 = 10x = 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 = 4y = 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 = 5x4x + 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 + 35x – 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 = 3y = 1z = 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 = 13y = 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 eliminationx + 2y = 10x + 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 = 303x + 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 elimination5x – 2y = -192x + 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 = 72x – 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 > 3y < 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 inequalitiesto find the feasible region.
y > -1y < 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. Meaningthat 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!