1. 3/17/2011 ©Evergreen Public Schools 2010 1 System with Exponential Equations

2. ©Evergreen Public Schools 2010 2 Learning Target Target 10 Level 3 I can solve problems with systems of equations and inequalities. Equations can be linear, exponential or quadratic. What do you know about systems of equations?

3. ©Evergreen Public Schools 2010 3 LaunchLaunch In a system with a linear equation and a quadratic equation, how many solutions are possible? Convince yourself. Convince a friend. Convince a skeptic.

4. ©Evergreen Public Schools 2010 4 LaunchLaunch In a system with a linear equation and a quadratic equation, how many solutions are possible? Convince yourself. Convince a friend. Convince a skeptic.

5. ©Evergreen Public Schools 2010 5 LaunchLaunch Write what you know about solving a system with Two linear equations One linear and one quadratic equation Two quadratic equations

6. ©Evergreen Public Schools 2010 6 ExploreExplore

7. 7 System of Equations Use 2 methods to solve y = x + 2 y = ( x – 4) 2 You and your partner must each choose a different method. Compare your answers. Make any edits you want.

8. ©Evergreen Public Schools 2010 8 System of Equations Aries bought a new Toyota Highlander in 2011. By researching values she finds the equation V ( t ) = 32000(0.87 t ) can be used to estimate the value of the car each year, where t is the number of years she owned the car. She has a loan amount of 36000 with $600 monthly car payments on a 5 year loan. Write an equation to find the unpaid balance of the loan for t years. When will the value of the car be less than the value of the loan? What is the car worth?

9. ©Evergreen Public Schools 2010 9 Team Practice

10. ©Evergreen Public Schools 2010 10 Debrief Consider solving a system with two linear equations similar to solving a system with one linear and one quadratic equation compared to solving a system with one linear and one exponential equation How are they similar? How are they different?

11. ©Evergreen Public Schools 2010 11 5 3 1 2 4 Learning Target Did you hit the target? I can solve problems with systems of equations and inequalities. Equations can be linear, exponential or quadratic. Rate your understanding of the target from 1 to 5. 5 is a bullseye!

12. ©Evergreen Public Schools 2010 12 Practice Practice 9.9A