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Unification

Algebra Fill In Notes 2.3

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02.03 Absolute Value Equations Essential Questions How can you represent constraints by absolute value equations? How can you interpret solutions as viable or nonviable options in a model? Absolute value equations can have: Examples One solution |x|= ________ Two solutions |x|= ______________________ No solutions |x| = _____________________ To solve an advance absolute value equation e.g. |2x-3|=11 Make two equations to solve by eliminating the absolute signs and making them equal opposite sign answers: Solve below: ___________________ ___________________ Check answers by substituting both into original equation. Check answers below: ____________________________________________ ____________________________________________ You can show constraints in real world problems by:

Algebra Fill In Notes 2.2

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02.02 Two-Variable Equations Essential Questions How can we create equations in two or more variables to represent relationships between quantities? How can we represent constraints by equations or inequalities and interpret solutions as viable or nonviable options in the model? Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE Two-Variable Equations p.2 Steps to solving problems Read and understand the situation within the word problem. Identify and pull out ______________ ______________ from the problem. Assign ____________to unknown values. Set up and solve the equation. Check that your answer makes sense within the context of the problem. Consecutive integer problems p.2 Label the first integer with x, the next with x + 1, the next with x + 2, and so on.
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