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Name:__________ warm-up 6-7 Graph 2x + y 4 Graph x + 2y > –4

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Solve the system of equations. 2x – 2y = 4 –8x + 3y = 9 Use elimination to solve the system of equations. 8x + 12y = 1 2x + 3y = 6

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Details of the Day EQ How can you find the solution to a math problem? I will be able to… Activities: Warm-up Holiday Quickie Complete Quiz: 6-3 & 6-4 Notes: 6-6 Solving Systems of Inequalities Class work/ HW – pair and share Mid-chapter 6 test Vocabulary: Solve systems of linear inequalities by graphing. Graph systems of linear inequalities Apply systems of equations. system of inequalities

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A Quick Review Graph 2x + y 4 Graph x + 2y > –4

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A Quick Review Solve the system of equations. 2x – 2y = 4 –8x + 3y = 9 Use elimination to solve the system of equations. 8x + 12y = 1 2x + 3y = 6

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Notes and examples Solve the system of inequalities by graphing. y < 2x + 2 y –x – 3 Solve the system of inequalities by graphing 2x + y 4 and x + 2y > –4.

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Notes and examples Solve the system of inequalities by graphing. y –3x + 1 y –3x – 2 Solve the system of inequalities by graphing. y > 4x y < 4x – 3

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Notes and examples A. SERVICE A college service organization requires that its members maintain at least a 3.0 grade point average, and volunteer at least 10 hours a week. Define the variables and write a system of inequalities to represent this situation. Then graph the system. B. SERVICE A college service organization requires that its members maintain at least a 3.0 grade point average, and volunteer at least 10 hours a week. Name one possible solution.

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Real World Examples CAR RENTAL Ace Car Rental rents a car for $45 and $0.25 per mile. Star Car Rental rents a car for $35 and $0.30 per mile. How many miles would a driver need to drive before the cost of renting a car at Ace Car Rental and renting a car at Star Car Rental were the same? VIDEO GAMES The cost to rent a video game from Action Video is $2 plus $0.50 per day. The cost to rent a video game at TeeVee Rentals is $1 plus $0.75 per day. After how many days will the cost of renting a video game at Action Video be the same as the cost of renting a video game at TeeVee Rentals?

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Notes and examples A. The senior class is sponsoring a blood drive. Anyone who wishes to give blood must be at least 17 years old and weigh at least 110 pounds. Graph these requirements. The senior class is sponsoring a blood drive. Anyone who wished to give blood must be at least 17 years old and weigh at least 110 pounds. Choose one possible solution.

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