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Jeopardy

Learn how to solve linear systems of equations by graphing. Includes examples with detailed explanations.

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Jeopardy

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  1. Jeopardy

  2. 100 Solve the linear system by graphing: -5x + 8y = -22 3y – 2x = -9

  3. 200 Solve the linear system by graphing: 2x – 6y = -40 -5y + 2x = -36

  4. 300 Solve the linear system by graphing: 3x – 7y = 50 -4x + 2y = -30

  5. 400 Solve the linear system by graphing: ⅔x - ⅓y = -11/3 x + ½y = -½

  6. 500 With a minimum purchase of $100, you can open a credit account at a music store. The store is offering either $25 or 20% off your purchase if you open a credit account. You make a purchase of $135 and decide to open a credit account. Should you choose $25 or 20% off your purchase? Write a system of equations and graph them to solve.

  7. 100 Solve the linear system by substitution: 13x – 4y = 38 x – 6y = -54

  8. 200 Solve the linear system by substitution: 10x – 20y = 0 x + 5y = -28

  9. 300 Solve the linear system by substitution: 3.5x + 0.5y = 14 y – x = 4

  10. 400 During the spring and summer, you do a spring yard cleanup for households and you also paint houses. You earn $8 an hour doing the cleanups and $12 an hour painting. Last spring and summer you worked a total of 400 hours and earned $3800. How many hours did you spend doing yard cleanups and painting?

  11. 500 You are creating a potting mix for your window boxes that is 20% peat moss and 80% potting soil. You add 100% potting soil to your mix that is currently 50% peat moss and 50% potting soil. You have 4 buckets of the mix that is half and half. Do you have enough of the half and half to make 8 buckets of the mix that is 20% peat moss and 80% potting soil? Explain.

  12. 100 Solve the linear system by elimination: 4x – y = –21 – 4x+7y = 51

  13. 200 Solve the linear system by elimination: -2x + 5y = 14 8x + 5y = 94

  14. 300 Solve the linear system by elimination: 2y – 3x = 10 7x = -2y – 50

  15. 400 Solve the linear system by elimination: 9x = 235 – 5y 5y – 10x = -50

  16. 500 A car rental company charges a daily rental fee plus a per mile fee over 150 miles. Two different people rent the same style of car for the same number of days. The total bill for one person’s rental is $207.50 for a 5-day rental and 180 miles. The total bill for the other person’s rental is $212.50 for a 5-day rental and 200 miles. • Write a linear system that you can use to find the daily rental fee and the per mile fee over 150 miles. Explain how you got your linear system. • What is the daily rental fee? What is the fee per mile over 150 miles?

  17. 100 Solve the linear system by elimination: 6x – 11y = -93 15x + 13y = 132

  18. 200 Solve the linear system by elimination: -15x + 4y = -2 13x – 10y = -44

  19. 300 Solve the linear system by elimination: 9x – 8y = -3 14x – 12y = -6

  20. 400 Two families go skiing on a Saturday. One family purchases two adult lift tickets and four youth lift tickets for $166. Another family purchases four adult lift tickets and five youth lift tickets for $263. Let x represent the cost in dollars of one adult lift ticket and let y represent the cost in dollars of one youth lift ticket. • Write a linear system that represents this situation. • Solve the linear system to find the cost of one adult and one youth lift ticket. • How much would it cost two adults and five youths to ski for a day?

  21. 500 A group of your friends goes to a restaurant that features different Asian foods. There are eight people in your group. Some of the group order the Thai special for $14.25 and the rest of the group order the Szechwan special for $13.95. If the total bill was $113.10, how many people ordered each dinner?

  22. 100 Is the solution empty, a point, a line, or a plane?

  23. 200 Is the solution empty, a point, a line, or a plane?

  24. 300 Define: Consistent Inconsistent Independent Dependent

  25. 400 Name the type of System

  26. 500 Solve the following system using Cramer’s Rule. 2x + 2y = -6 -5x + y = 15

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