3/17/2011 ©evergreen public schools 2010 1 system with exponential equations
TRANSCRIPT
©Evergreen Public Schools 2010
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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?
©Evergreen Public Schools 2010
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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.
©Evergreen Public Schools 2010
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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.
©Evergreen Public Schools 2010
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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?
©Evergreen Public Schools 2010
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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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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!