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Solve Linear Equations and Analyze Linear Functions 5 Name: 1) Solve: 8(1 2 x) (5 x 3) 7 2 x 2 2) Solve: 3) Solve: 3 9 x 5 2x x 1 10 10 1 x ( x 12) 2 3 6 4) When the blizzard started on Halloween, there was already 4 inches of snow on the ground. During the blizzard, the snow fell at a rate of 1.5 inches per hour. a) Write an equation that represents the depth of snow, D, at time x hours. b) How much snow will there be on the ground after 4 hours of the blizzard? c) After how many hours will there be 13 inches of snow on the ground. d) What is the slope of this line and what does it mean in the context of this story? e) What is the y-intercept of this line and what does it mean in the context of this story? Solve Linear Equations and Analyze Linear Functions 6 Name: 1) Solve: 2(1 2 x) ( x 1) 11 2 x 3 2) Solve: 3) Solve: 1 5 x 3 2x x 2 12 6 1 3 ( x 20) 3 x 2 4 4 4) Mel is filling up a barrel of fake blood for the haunted house. There are already 3 inches of fake blood in the barrel when Mel puts the hose in the barrel and begins to fill it at a rate of 0.5 inch per minute. a) Write an equation that represents the depth of fake blood, B, at time x minutes. b) How much fake blood will there be in the barrel after 4 minutes? c) If the pool can hold 40 inches of fake blood, how long will it take Mel to fill the barrel? d) What is the slope of this line and what does it mean in the context of this story? e) What is the y-intercept of this line and what does it mean in the context of this story?