# Jeopardy Solve By Graphing Solve by Substitution Solve

Jeopardy Solve By Graphing Solve by Substitution Solve by Elimination Solve by Multiply First Extensions 100 100 100 200 200 200 300 300 300 400 400 400 500 500 500

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

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

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

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

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.

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

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

300 Solve the linear system by substitution: 3. 5 x + 0. 5 y = 14 y–x=4

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?

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.

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

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

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

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

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. a. 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. b. What is the daily rental fee? What is the fee per mile over 150 miles?

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

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

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

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. a. Write a linear system that represents this situation. b. Solve the linear system to find the cost of one adult and one youth lift ticket. c. How much would it cost two adults and five youths to ski for a day?

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?

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

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

300 Define: Consistent Inconsistent Independent Dependent

400 Name the type of System

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

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