solving systems of equations and inequalities jeopardy q $100 q $200 q $300 q $400 q $500 q $100 q...

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

$100 Question from Graphing

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

$100 Answer from Graphing

(3, 1)

$200 Question from Graphing

Solve by hand:y = 3x + 4y = 3x – 2

$200 Answer from Graphing

No solution sincethe lines are parallel

$300 Question from Graphing

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

$300 Answer from Graphing

(-2, 4)

$400 Question from Graphing

Solve the system by graphing andstate whether the system is consistent or inconsistent.

7x – y = 6-7x+y = -6

$400 Answer from Graphing

Solution is all real numbers and it is consistent.

$500 Question from Graphing

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

$500 Answer from Graphing

(10, 20)

$100 Question from Substitution

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

$100 Answer from Substitution

(2.5, -2)

$200 Question from Substitution

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

$200 Answer from Substitution

(-6, -6)

$300 Question from Substitution

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

$300 Answer from Substitution

(2, 6)

$400 Question from Substitution

Solve by substitution.y = 5x4x + 2y = 7

$400 Answer from Substitution

(.5, 2.5)

$500 Question from Substitution

Solve by substitution and state whether the system is dependent or independent.

y = 2x + 35x – 4y = 6

$500 Answer from Substitution

(-6, -9) and it is independent

$100 Question from In 3 Variables

Solve. 3x – y + z = 3y = 1z = 1

$100 Answer from In 3 Variables

(1, 1, 1)

$200 Question from In 3 Variables

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

z = 2

$200 Answer from In 3 Variables

(8, -4, 2)

$300 Question from In 3 Variables

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

$300 Answer from In 3 Variables

(2, 3, -2)

$400 Question from In 3 Variables

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

$400 Answer from In 3 Variables

(0, 2, -3)

$500 Question from In 3 Variables

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

$500 Answer from In 3 Variables

(3, 2, -3)

$100 Question from Elimination Method

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

$100 Answer from Elimination Method

(2, 4)

$200 Question from Elimination Method

Solve by elimination.

5x + 3y = 303x + 3y = 19

$200 Answer from Elimination Method

(6, 0)

$300 Question from Elimination Method

Solve by elimination.

4x – 6y = -26-2x + 3y = 13

$300 Answer from Elimination Method

All Real numbers – coinciding lines

$400 Question from Elimination Method

Solve by elimination5x – 2y = -192x + 3y = 0

$400 Answer from Elimination Method

(-3, 2)

$500 Question from Elimination Method

Solve by elimination

x + 3y = 72x – y = 7

$500 Answer from Elimination Method

(4, 1)

$100 Question from Inequalities

The solution to a system of Inequalities is _______________.

$100 Answer from Inequalities

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

$200 Question from Inequalities

Solve. x > 3y < 4

$200 Answer from Inequalities

$300 Question from Inequalities

State the difference in solutions to equalities and inequalities.

$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.

$400 Question from Inequalities

Graph the system of inequalitiesto find the feasible region.

y > -1y < 2x + 1

$400 Answer from Inequalities

$500 Question from Inequalities

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

$500 Answer from Inequalities

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

Final Jeopardy

How can learning to solve systems of equations help solve real life

situations?

Final Jeopardy Answer

Answers can vary – Check with the teacher!