3/17/2011 ©evergreen public schools 2010 1 system with exponential equations

3/17/2011

©Evergreen Public Schools 2010

1

System with Exponential Equations


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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?


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LaunchLaunchLaunchLaunchIn a system with a linear equation

and a quadratic equation, how many solutions are possible?

• Convince yourself.• Convince a friend.• Convince a skeptic.


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LaunchLaunchLaunchLaunch• 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

LaunchLaunchLaunchLaunchWrite what you know about

solving a system with• Two linear equations• One linear and one quadratic

equation• Two quadratic equations


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System of EquationsSystem of Equations

Use 2 methods to solvey = x + 2 y = (x – 4)2

You and your partner must each choose a

different method.

Compare your answers.

Make any edits you want.


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System of EquationsSystem of Equations

Aries bought a new Toyota Highlander in 2011. By researching values she finds the equation V(t) = 32000(0.87t) 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?


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Team PracticeTeam Practice


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DebriefDebrief

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?


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5

3

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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!


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PracticePractice

• Practice 9.9A

3/17/2011 ©evergreen public schools 2010 1 system with exponential equations

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