1. Linear Equations on One Variable
Simple Interest
Opening Routine
Mr. Simone deposits $8000 in one simple interest account and $2000 in a second simple interest account. The interest rate on the $8000 account is 2% more than the rate on the $2000 account. If the total yearly amount of interest on the two accounts is $578, find the interest rate on each account.

2. Linear Equations on One Variable
Simple Interest
Opening Routine

3. Linear Equations on One Variable
Simple Interest
Opening Routine

4. Topic II: Linear Equations in One Variable

5. Linear Equations on One Variable
Applications of Linear Equations
Distance, Rate and Time
Objective: Create equations and inequalities in one variable and use them to solve problems.
Essential Question: How a distance problem can solved by creating and solving a linear
equation?

6. Linear Equations on One Variable
Applications of Linear Equations
Distance, Rate and Time
Vocabulary
Formula: An equation that states a rule or a fact.
Variable: A symbol for a number we don't know yet. It is usually represented by a letter.
Rate: A special type of ratio that establishes a comparison of measurements that have different units. For example: miles per hour (mph).
Distance: Is the space between two objects or points.

7. Linear Equations on One Variable
Applications of Linear Equations
Distance, Rate and Time
An application of linear equations can be found in distance problems.
When solving distance problems we will use the relationship d = r • t
where the distance d equals the product of rate (or speed) and time.

8. Linear Equations on One Variable
Applications of Linear Equations
Distance, Rate and Time
Example:
Two joggers start from opposite ends of an 8 mile course running towards each other. One jogger is running at a rate of 4 mph, and the other is running at a rate of 6 mph. After how long will the joggers meet?

9. Linear Equations on One Variable
Applications of Linear Equations
Distance, Rate and Time

10. Linear Equations on One Variable
Applications of Linear Equations
Distance, Rate and Time

11. Linear Equations on One Variable
Applications of Linear Equations
Distance, Rate and Time
Independent Practice - YOU DO
Worksheet Distance, Rate and Time
Word problems Exercises 1-6

12. Linear Equations on One Variable
Applications of Linear Equations
Distance, Rate and Time
Homework
Complete Worksheet on

13. Linear Equations on One Variable
Applications of Linear Equations
Distance, Rate and Time
Closure
Essential Question: How a distance problem can solved by creating and solving a linear
equation?