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7.5 SKM & PP 1 Systems of Equations. 7.5 SKM & PP 2 Word Problem Basics IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM.

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Presentation on theme: "7.5 SKM & PP 1 Systems of Equations. 7.5 SKM & PP 2 Word Problem Basics IDENTIFY your VARIABLES Write a COMPLETE SYSTEM Algebraically SOLVE the SYSTEM."— Presentation transcript:

1 7.5 SKM & PP 1 Systems of Equations

2 7.5 SKM & PP 2 Word Problem Basics 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?

3 7.5 SKM & PP 3 Motion Problem Basics d = distance r = rate t = time

4 7.5 SKM & PP 4 Motion Problem Basics

5 7.5 SKM & PP 5 Motion Problem Basics 50 1 100502 150503 200504

6 7.5 SKM & PP 6 Take the Train! A green train traveling at 42 mph leaves the Roseville station heading towards San Francisco. Two hours later a red train, on a parallel track, traveling at 70 mph leaves Roseville heading towards San Francisco. In how many hours will the red train overtake the green train?

7 7.5 SKM & PP 7 Take the Train! Same distance!

8 7.5 SKM & PP 8 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

9 7.5 SKM & PP 9 Motion Problem Basics d = distance t = time

10 7.5 SKM & PP 10 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

11 7.5 SKM & PP 11 Take the Train! drt d42t+2 d70t Red Green

12 7.5 SKM & PP 12 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

13 7.5 SKM & PP 13 Take the Train!

14 7.5 SKM & PP 14 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

15 7.5 SKM & PP 15 Take the Train! A green train traveling at 52 mph leaves the Roseville station heading towards San Francisco. Two hours later a red train, on a parallel track, traveling at 70 mph leaves Roseville heading towards San Francisco. In how many hours will the red train overtake the green train? The red train will overtake the green train in 3 hours.

16 7.5 SKM & PP 16 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

17 7.5 SKM & PP 17 Police! Two police cars leave Roseville at the same time, heading in opposite directions. The first police car is traveling at 25 mph and the other police car is traveling at 43 mph. In how many hours will they be 136 miles apart?

18 7.5 SKM & PP 18 Identify Your Variables. d = distance t = time

19 7.5 SKM & PP 19 Police! 136 Miles d 136- d

20 7.5 SKM & PP 20 drt d25t 136-d43t First Second Write a COMPLETE SYSTEM

21 7.5 SKM & PP 21 Algebraically SOLVE the SYSTEM

22 7.5 SKM & PP 22 Two police cars leave Roseville at the same time, heading in opposite directions. The first police car is traveling at 25 mph and the other police car is traveling at 43 mph. In how many hours will they be 136 miles apart? Clearly answer the Question in Words In 2 hours the cars will be 136 miles apart.

23 7.5 SKM & PP 23 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

24 7.5 SKM & PP 24 Chickens! At the same time, two chickens, 7 miles apart, head towards each other.. The first chicken is traveling at 5 mph and the other chicken is traveling at 3 mph. In how many hours will they meet?

25 7.5 SKM & PP 25 Identify Your Variables. d = distance t = time

26 7.5 SKM & PP 26 Chickens! 7 Miles d 7 - d

27 7.5 SKM & PP 27 drt d5t 7 - d3t First Second Write a COMPLETE SYSTEM

28 7.5 SKM & PP 28 Algebraically SOLVE the SYSTEM

29 7.5 SKM & PP 29 At the same time two chickens, 7 miles apart, head towards each other.. The first chicken is traveling at 5 mph and the other chicken is traveling at 3 mph. In how many hours will they meet? The chickens will meet in 7/8 hour Clearly answer the Question in Words

30 7.5 SKM & PP 30 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

31 7.5 SKM & PP 31 That’s All for Now!

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