# Solving Systems of Equations and Inequalities Jeopardy

## Presentation on theme: "Solving Systems of Equations and Inequalities Jeopardy"— Presentation transcript:

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

\$100 Question from Graphing
Solve and graph by hand: y = x - 2 y = -2x + 7

\$100 Answer from Graphing (3, 1)

\$200 Question from Graphing
Solve by hand: y = 3x + 4 y = 3x – 2

\$200 Answer from Graphing No solution since the 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 and state whether the system is consistent or inconsistent. 7x – y = 6 -7x+y = -6

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

\$500 Question from Graphing
Solve the system by graphing: x = 10 x = y - 10

\$500 Answer from Graphing (10, 20)

\$100 Question from Substitution
Solve the system by substitution: 4x + 3y = 4 y = 2x - 7

(2.5, -2)

\$200 Question from Substitution
Solve by substitution. 2x – 3y = 6 x + y = -12

(-6, -6)

\$300 Question from Substitution
Solve by substitution. -y = -3x 4x + 3y = 26

(2, 6)

\$400 Question from Substitution
Solve by substitution. y = 5x 4x + 2y = 7

(.5, 2.5)

\$500 Question from Substitution
Solve by substitution and state whether the system is dependent or independent. y = 2x + 3 5x – 4y = 6

(-6, -9) and it is independent

\$100 Question from In 3 Variables
Solve. 3x – y + z = 3 y = 1 z = 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 = 13 y = 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 elimination x + 2y = 10 x + y = 6

(2, 4)

\$200 Question from Elimination Method
Solve by elimination. 5x + 3y = 30 3x + 3y = 19

(6, 0)

\$300 Question from Elimination Method
Solve by elimination. 4x – 6y = -26 -2x + 3y = 13

All Real numbers – coinciding lines

\$400 Question from Elimination Method
Solve by elimination 5x – 2y = -19 2x + 3y = 0

(-3, 2)

\$500 Question from Elimination Method
Solve by elimination x + 3y = 7 2x – y = 7

(4, 1)

\$100 Question from Inequalities
The solution to a system of Inequalities is _______________.

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

\$200 Question from Inequalities
Solve. x > 3 y < 4

\$300 Question from Inequalities
State the difference in solutions to equalities and 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 inequalities to find the feasible region. y > -1 y < 2x + 1

\$500 Question from Inequalities
Give an example of a system of equations containing no solutions.