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Published byJohnathan Parrish Modified over 8 years ago
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Review Quiz
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Pages 182-183
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105 mph Practice Problems 1.Carrie can row a boat at a rate of 5 miles per hour in calm water. How long will it take her to travel 20 miles down the river, if the current of the river is 3 miles per hour? 2. An airplane travels a distance of 150 miles in 2 hours while flying in a headwind of 30 miles per hour. What is the speed of the airplane in calm air? 2.5 hours
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Tail Wind Head Wind With the WindAgainst the Wind Speeds you up Slows you down With the Wind Downwind Tailwind Against the wind Upwind Headwind
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DEFINE THE VARIABLES Or Make a Table p = speed of the plane w = speed of the wind d = distance s = speed/rate t = time Word Problem Basics
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Generic Box dst p + w p - w
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Come fly with me! Flying with the wind, a jet flew 7 hours with a 40 mph tail wind. The return flight, against the same wind took 8 hours. Find the speed of the plane in calm air.
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DEFINE THE VARIABLES Or Make a Table Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics
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Define the VARIABLES p = speed of the plane d = distance Word Problem Basics
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std p + 40 7 7(p+40) p - 40 8 8(p-40) Come fly with me! Or Make a Table Flying with the wind, a jet flew 7 hours with a 40 mph tail wind. The return flight, against the same wind took 8 hours. Find the speed of the plane in calm air.
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IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics
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IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics
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Come fly with me!
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IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics
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Come fly with me! Flying with the wind, a jet flew 7 hours with a 40 mph tail wind. The return flight, against the same wind took 8 hours. Find the speed of the plane in calm air. The speed of the plane in calm air is 600 mph.
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IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics
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Downstream - Upstream - With the Current Against Current Speeds you up Slows you down With the current or Downstream Against the current or Upstream
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With the current, downstream, with the wind, downwind all represent faster speeds since the speed is being increased by the wind or current of the water. Against the wind, upwind, upstream, against the current all represent the speed being slowed by the wind or current of the water.
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IDENTIFY VARIABLES d = distance s = speed/rate t = time b = speed of the boat c = speed of the current Word Problem Basics
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Generic Box std b + c b - c
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Let’s Canoe! A canoeist paddled for 3 hours with a current of 4-km/hr. Against the 4-km/hr current, the canoeist returned home in 5 hours. Find the rate of the boat in calm water.
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IDENTIFY VARIABLES b = speed of the boat d = distance Word Problem Basics
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std b + 433(b+4) b - 455(b-4) Write a COMPLETE SYSTEM A canoeist paddled for 3 hours with a current of 4-km/hr. Against the 4-km/hr current, the canoeist returned home in 5 hours. Find the rate of the boat in calm water.
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Algebraically SOLVE the SYSTEM.
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CLEARLY ANSWER the question in WORDS. A canoeist paddled for 3 hours with a current of 4-km/hr. Against the 4-km/hr current, the canoeist returned home in 5 hours. Find the rate of the boat in calm water. The speed of the boat in still water is 16-km/hr
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IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM CLEARLY ANSWER the question(s) in WORDS REALITY CHECK ? Does your answer make sense? Word Problem Basics
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Homework Page 191 # 24 Page 195 # 40 Page 197 # 46 Example page 183
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