Monday’s Warm Up. Objective By the end of today’s lesson, you will be able to solve an equation for a particular letter, given that the equation contains.

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Presentation transcript:

Monday’s Warm Up

Objective By the end of today’s lesson, you will be able to solve an equation for a particular letter, given that the equation contains multiple letters

Example #1

Example #2

Example #3

Example #4

Example #5

Example #6

Example #7

Example #8

Example #9

Example #10

Motion Problem Set Ups 3. Lois rode her bike to visit a friend. She traveled at 10 mi/h. While she was there, it began to rain. Her friend drove her home in a car traveling at 25 mi/h. Lois took 1.5 h longer to go to her friend ’ s than to return home. How many hours did it take Lois to ride to her friend ’ s house?

Motion Problem Set Ups 4. Fred begins walking toward John ’ s house at 3 mi/h. John leaves his house at the same time and walks toward Fred ’ s house on the same path at a rate of 2 mi/h. How long will it be, in minutes, before they meet if the distance between the houses is 4 miles?

Motion Problem Set Ups 5. May rides her bike the same distance that Leah walks. May rides her bike 10 km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to travel that distance, how fast does each travel?

Motion Problem Set Ups 6. A train leaves the station at 6:00 P.M. traveling west at 80 mi/h. On a parallel track, a second train leaves the station 3 hours later traveling west at 100 mi/h. At what time will the second train catch up with the first?

Motion Problem Set Ups 7. At 10:00 A.M., a car leaves a house at a rate of 60 mi/h. At the same time, another car leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the cars be 330 miles apart?

Motion Problem Set Ups 8. It takes 1 hour longer to fly to St. Paul at 200 mi/h than it does to return at 250 mi/h. How far away is St. Paul?

Tuesday Night’s Homework Solve Each of today ’ s worksheet problems

Wednesday Warm Up The Charlestown Chiefs football team scored 10 times for a total of 46 points. If a touchdown is worth 7 points and a field goal is worth 3 points, how many touchdowns and how many field goals did the Chiefs score?

Two jets leave Dallas at the same time and fly in opposite directions. One is flying west 50 mi/h faster than the other. After 2 hours, they are 2500 miles apart. Find the speed of each jet. How are the distances that the two jets fly related Distance flown by 1 st Jet + Distance flown by 2 nd jet = 2500 mi

Two jets leave Dallas at the same time and fly in opposite directions. One is flying west 50 mi/h faster than the other. After 2 hours, they are 2500 miles apart. Find the speed of each jet. How are the times that the two jets fly related The time of flight of 1 st Jet = The time of flight of 2 nd Jet

Two jets leave Dallas at the same time and fly in opposite directions. One is flying west 50 mi/h faster than the other. After 2 hours, they are 2500 miles apart. Find the speed of each jet. How are the speeds of the two jets fly related Speed of Westbound Jet = Speed of Eastbound Jet + 50 mi/hr

Two jets leave Dallas at the same time and fly in opposite directions. One is flying west 50 mi/h faster than the other. After 2 hours, they are 2500 miles apart. Find the speed of each jet. Define:Let x = the speed of the jet flying east. Write: 2 x + 2( x + 50 ) = 2500 Then x + 50 = the speed of the jet flying west. Relate:eastbound jet’s plus westbound jet’s equals the total distance distance distance JetRateTimeDistance Traveled Eastboundx22x Westboundx (x + 50) Eastbound Westbound

Two jets leave Dallas at the same time and fly in opposite directions. One is flying west 50 mi/h faster than the other. After 2 hours, they are 2500 miles apart. Find the speed of each jet.

JetRateTimeDistance Traveled Eastboundx22x Westboundx (x + 50) Eastbound Westbound

1. Two trains left Mooseport at the same time. One traveled north at 83 mph. The other traveled south at 67 mph. After how many hours were the two trains 600 miles apart?

2. Romeo first saw Juliet when she was 87 meters away. He started running toward her at a rate of 5 m/s. Three seconds later, Juliet saw Romeo and began running toward him at a rate of 4 m/s. How many seconds after Romeo first saw Juliet did they meet?

3. Bad Bart is fleeing the scene of a bank robbery at 70 mph. Thirty minutes after he leaves, a police helicopter leaves the scene to catch him, traveling 100 mph along the same route. How many hours will Bart have been traveling when the police catch up?

4. Karma rode her bike up a mountain trail at an average speed of 4 mph. Then she rode back down the trail at an average speed of 20 mph. The entire trip took 3 hours. How far up the mountain did Karma go?

Wednesday Night’s Homework Complete a D = RT table for each problem. Then use the table to construct an equation.

Thursday Warm Up Solve each of the problems from last night ’ s homework.

1. Two camels pass each other in the desert, going in opposite directions. One camel is walking at an average rate of 9 km/h. The other camel is walking at an average rate of 7 km/h. After how many hours will the camels be 60 km apart?

2. Two camels pass each other in the desert, going In opposite directions. The rate of one camel is 3 km/h faster than the rate of the other. Four hours later, the camels are 68 km apart. Find the rate of the faster camel.

3. A plane left Emerald City flying at an average rate of 270 mph. Two hours later, another plane left Emerald City flying in the same direction at 450 mph. How long will the second plane be flying until it catches up with the first?

4. At 9:00 AM, a jet leaves St. Louis and travels east at 420 mph. At 11:00 AM, another jet leaves St. Louis and travels west at 350 mph. What time will the two jets be 3535 miles.

Thursday Homework Study for uniform motion quiz by doing practice problems