## practice 5

Review ?Sheet ?for ?AP ?Biology ?Practice ?6 ?? ?Scientific ?Explanations ?and ?Theories ?Contributed ?by ?Winnie ?Litten ?? ?YouTube ?-?? ?/mslittenbiology ?Twitter-??@mslittenbiology ?

AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

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Review ?Sheet ?for ?AP ?Biology ?Practice ?6 ?? ?Scientific ?Explanations ?and ?Theories ?Contributed ?by ?Winnie ?Litten ?? ?YouTube ?-?? ?/mslittenbiology ?Twitter-??@mslittenbiology ?

Subject:

? Review ?Sheet ?for ?AP ?Biology ?Practice ?1 ?? ?Models ?and ?Representations ?Contributed ?by ?Winnie ?Litten ?? ?YouTube ?-?? ?/mslittenbiology ?Twitter-??@mslittenbiology ?

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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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A good way to solve systems of equations is by substitution. In this method, you solve on equation for one variable, then you substitute that solution in the other equation, and solve. Example:
1. Problem: Solve the following system:
x + y = 11
3x - y = 5
Solution: Solve the first equation for y
(you could solve for x - it
doesn't matter).
y = 11 - x
Now, substitute 11 - x for y
in the second equation. This gives
the equation one variable, which
earlier algebra work has taught
you how to do.
3x - (11 - x) = 5
3x - 11 + x = 5
4x = 16
x = 4

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