Lesson 2 5 equations and problem solving
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Lesson 2.5 Equations and Problem Solving. Objective 1: Defining Variables. What is an Integer?. Example 1 Geometry The length of a rectangle is 6 in. more than it’s width. The perimeter is 24in. What are the dimensions of the rectangle? The area?. Check Understanding:

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Lesson 2 5 equations and problem solving
Lesson 2.5Equations and Problem Solving

Objective 1: Defining Variables

What is an Integer?


Example 1

Geometry The length of a rectangle is 6 in. more than it’s width. The perimeter is 24in. What are the dimensions of the rectangle? The area?


Check Understanding:

The width of a rectangle is 2cm. less than its length. The perimeter is 16 in. What are the dimensions of the rectangle? The area?


Example 2

  • Check Understanding:

  • The sum of three consectuive intgegers is 48. Find the intgegers.

Any questions from objective 1?

Homework:


Lesson 2 5 day 2
Lesson 2.5day 2

Objective 2: Distance-Rate-Time Problems


Same direction travel
Same Direction Travel

Example 3

A train leaves the station at 1pm. It travels at an average rate of 60 mph. A high-speed train leaves the same station an hour later. It travels at an average rate of 96 mph. The second train follows the same route as the first train on a parallel track. In how many hours will the second train catch up with the first train?




Lesson 2 5 day 3
Lesson 2.5 day 3

Objective 2: Distance-Rate-Time Problems


Round trip travel
Round-Trip Travel

Example 4

Noya drives into the city to but a software program at a computer store. Because of traffic conditions, she averages only 15 mph. On her drive home she averages 35 mph. If the total travel time is 2 hours, how long does it take her to drive to the computer store?


Check understanding1
Check Understanding

On his way to work from home, your uncle averaged only 20 mph. On his drive home, he averaged 40 mph. If the total travel time was 1.5 hours, how long did it take him to drive to work?


Lesson 2 5 day 4
Lesson 2.5 day 4

Objective 2: Distance-Rate-Time Problems


Opposite direction travel
Opposite Direction Travel

Example 5

Jane and Peter leave their home traveling in opposite directions on a straight road. Peter drives 15 mph faster than Jane. After 3 hours, they are 225 miles apart. Find Peter’s rate and Jane’s rate.




Lesson quiz
Lesson Quiz

Homework:


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