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Systems with Quadratic Inequalities

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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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LaunchLaunchFind one point that is a solution to:

How do you know that point is a solution? 

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y x

y x

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System of EquationsFind two points that are a solution to

the system:y x2 – x – 6              y < 2x – 2    

What do you already know about this?

How can you use what you already know to solve the

problem?

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System of EquationsDarren opened a savings account with

100 at Dollar Federal Savings Bank where he earns at least 4% annual interest on his savings.

Erin opened keeps her money in a jar at home. She has $150 and adds up to $5 each year.

Find 3 solutions for when Darren has more in his account than Erin. In each year, how much does he have?

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Team Practice

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DebriefConsider solving a system with two

linear equations similar to solving a system with one linear and one quadratic equation compared to a similar system of inequalities.

How are they similar?How are they different?

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Did you hit the target?Target 10 Level 3 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.

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Practice• Practice 9.4A