Solving Systems of Equations and Inequalities Jeopardy Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Graphing Substitution Elimination Mixed Applications Inequalities

$100 Question from Graphing

$100 Answer from Graphing (3, 1)

$200 Question from Graphing Solve by graphing: 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 graphing: 2x + 4y = 12 x + y = 2

$300 Answer from Graphing (-2, 4)

$400 Question from Graphing Solve the system by graphing 7x – y = 6 -7x+y = -6

$400 Answer from Graphing Solution is all real numbers

$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

$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 = 5x 4x + 2y = 7

$400 Answer from Substitution (.5, 2.5)

$500 Question from Substitution Solve by substitution y = 2x + 3 5x – 4y = 6

$500 Answer from Substitution (-6, -9)

$100 Question from Elimination Solve this system of equations by elimination

$100 Answer from Elimination (20,40)

$200 Question from Elimination Solve this system of equations by elimination

$200 Answer from Elimination

$300 Question from Elimination Solve this system of equations by elimination

$300 Answer from Elimination Infinitely many solutions!!

$400 Question from Elimination Solve this system of equations by elimination

$400 Answer from Elimination (1,3)

$500 Question from Elimination Solve this system of equations by elimination

$500 Answer from Elimination (2,1)

$100 Question from Mixed Applications The sum of two numbers is 126. The second number is 6 less than 3 times the first number. Find the 2 numbers.

$100 Answer from Mixed Applications The first number is 33 and the 2 nd number is 93

$200 Question from Mixed Applications Two angles are complementary. The first Angle measure is 3 less than 2 times the 2 nd angle measure. Find the two angle measures.

$200 Answer from Mixed Applications The first angle is 31 degrees and the 2 nd angle is 59 degrees

$300 Question from Mixed Applications Rollerblading: You can only travel 3 miles an hour against the wind, which is blowing at a constant speed. You travel 8 miles an hour with the wind. Write and solve a system of equations to find the average speed when there is no wind and the speed of the wind.

$300 Answer from Mixed Applications Your rate without wind is 5.5 mph and the rate of the wind is 2.5 mph.

$400 Question from Mixed Applications You will be making hanging flower baskets. The plants you have picked out are blooming annuals and non-blooming annuals. The blooming annuals cost $3.20 each and the non-blooming annuals cost $1.50 each. You bought a total of 24 plants for $ Write a linear system of equations that you can use to find how many of each type of plant you bought.

$400 Answer from Mixed Applications You have 16 non-blooming annuals and 8 blooming annuals.

$ 500 Question from Mixed Applications A fishing barge is moving at a rate of 3.8 miles per hour upstream. The fishing barge returns downstream at a rate of 8 miles per hour. The speed of the current remains constant. Write and solve a system of equations to find the average speed of the barge in still water and the speed of the current.

$500 Answer from Mixed Applications The rate of the barge is 5.9 mi/h and the rate of the current is 2.1 mi/hr

$100 Question from Inequalities Graph the system of inequalities. x ≥ 0 y ≥ 0 2x + y < 3

$100 Answer from Inequalities Graph the system of inequalities. x ≥ 0 y ≥ 0 2x + y < 3

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

$200 Answer from Inequalities

$300 Question from Inequalities State the difference in solutions to equalities and inequalities.

$300 Answer from Inequalities In equations the solution is the a point (point of intersection) and in inequalities the solution is the overlapping shaded areas.

$400 Question from Inequalities

$400 Answer from Inequalities

$500 Question for Inequalities Write a system of inequalities for the shaded region.

$500 Answer from Inequalities

Final Jeopardy Category Application of Linear Inequalities Place Team Wagers!!

Final Jeopardy Question You make $2 dollars for every cupcake you sell and $3 dollars for every pack of Cookies you sell. You sell at least 3 packs of Cookies and 4 cupcakes. You need to make at least $24. Shade the feasible region and state 2 possible solutions.

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