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Jeopardy Style Math Challenge: Non-Linear Systems and Inequalities

Join Mrs. Carrigan for a fun and educational Jeopardy-style math challenge focused on non-linear systems, inequalities, and graphing! This interactive session includes solving systems of equations, evaluating inequalities, and finding intersections and vertices. Ideal for students looking to sharpen their problem-solving skills and apply mathematical concepts in a game format. Test your knowledge of algebraic expressions, systems of equations, and inverse variation while enjoying a competitive atmosphere.

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Jeopardy Style Math Challenge: Non-Linear Systems and Inequalities

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  1. Jeopardy Hosted by Mrs. Carrigan

  2. Systems w/ 2 var. Systems w/ 3 var. and Inequalites Non-linear systems Misc. Ch.7 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400 500 500 500 500

  3. Row 1, Col 1 What is none? How many solutions does the system have? y=2x + 5 y = 2x - 7

  4. 1,2 What is 6.5? Solve for x. x=2y z=7y 3x + 5y – z = 13

  5. 1,3 What is 5 and -5? Solve for y. y² + x² = 34 y² - x² = 16

  6. 1,4 What is 8? If x varies inversely as y, and y=6 when x=12, what is the value of x when y = 9?

  7. 2,1 What is (5,6)? Solve the system: 2x + 3y = 28 3x – y = 9

  8. 2,2 What is 3? Solve for y. x + y + z = 15 x – y – z = -5 -x – y + z = -1

  9. 2,3 What is yes? Is (-3,4) a solution of the system? x² + y² = 25 y = -2x - 2

  10. 2,4 What are (5,5) and (-5, -5)? Find the vertices of xy = 25

  11. 3,1 d + q = 125 25q + 10d = 2075 Charles has 125 coins, all dimes and quarters. If he added 10 quarters and 12 dimes, the value of the coins would be $24.45. Write a system of equations to represent this situation.

  12. 3,2 What is -3? Solve for z. x + 2y – 3z = 3 3x – 4y + 6z = 4 y – 2z = 2

  13. 3,3 Ask Mrs. Carrigan! Find the points of intersection of: y = x² x² - y² = -2

  14. 3,4 What are (-4,-12), (6,8), (-2,-24), (1,48)? Complete the table to show that y varies inversely as x.

  15. 4,1 What are 16 and 48? The sum of Bill’s age and his father’s age is 64. In 5 years, Bill’s father’s age will be 10 less than 3 times Bill’s age then. How old is each person now?

  16. 4,2 Put solution on board. Graph the solution set. y ≤ x + 3 y > (x – 1)² - 5

  17. 4,3 Ask Mrs. Carrigan! Solve. x² + y² = 36 2x² - y² = 12

  18. 4,4 Put answer on board. Graph xy = 10

  19. 5,1 What is 1.8 mph? Pop and Zeb have gone fishing in their small motorboat. They traveled 19.5 miles downstream in 3 hours. After 3 hours on the way back upstream, they have only gone 8.7 miles. Find the speed of the current.

  20. 5,2 What are (0, -2.5), (3, 3.5), (0, 2)? Find the vertices of the region defined by: x ≥ 0 y ≥ 2x – 2.5 y ≤ 0.5x + 2

  21. 5,3 What is (0, 3/2) Solve. 2/(x+1) + 5/(y-1) = 12 5/(x+1) + 2/(y-1) = 9

  22. 5,4 Ask Mrs. Carrigan The sum of the squares of two numbers is 88. The difference of the squares of the two numbers is 10. What might the two numbers be?

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