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Quiz on Section 1.2 and 1.4 is on Friday, Dec. 17. (1.5 weight)

Come in early if you need a bit of extra time on the quiz.
On the Algebra II home page, please review the "standing rules" that must be followed.
Make sure you review your notes and homework problems. Re-do several odd homework problems of each type and check you solutions! I suggested some additional problems in red for extra practice (solutions at bottom later tonight)
Jon, Katherine, Max, Dayna, and Brittany came up with the following list of topics that should be on the test:
- 1.1 Graphs of Equations
When you look at an expression, you should recognize what type of shape it forms when graph. As of now you know...
- linear (1st degree polynomial)
- parabolic (2nd degree polynomial)
- circles
- we've seen a couple other shapes (cubic & hyperbolic), but you don't need to know those details just yet!
- 1.2 Solving Linear Equations of one variable
You learned some important terminology, including how to recognize and interpret solutions for...
- Identity Equations
- Conditional Equations
- Inconsistent Equations
You reviewed two methods for solving equations, including...
- Graphical method (graph left side of eqn, graph right side of eqn, then what???)
- Simple algebra (isolating a single instance of a variable by reversing PEMDAS)
You also learned how to tackle a variety of situations when solving equations, including
- clearing fractions to simplify an equation (carefully multiply both sides of equation by LCD) (1.2 #38, 40, 66,70)
- clearing decimals to simplify an equation (carefully multiply both sides of equation by 10, 100, 1000, etc.) (1.2 #84, 88)
- proportions (cross multiply; check domain restrictions if necessary) (1.2 #58)
- problems involving factoring and constants (1.2 #75 - 82)
- using distribution properly (careful with coefficients and negatives) (1.2 #16, 36)
- handling problems with squared terms (or terms raised to higher powers or radicals--we'll learn more about these later). We saw examples of this in section 1.1 with circle equation, and again in 1.4 when completeing the square). Review P.7 - 1.1 quiz for line intersecting circle problem. Remember that this problem led us to "discover" the "completing the square" method.
- 1.4 Solving Quadratic Equations
You learned three additional methods for solving equations, including...
- Graphical method (graph left side of eqn, graph right side of eqn, then what???)
- Simple algebra (isolating a single instance of a variable by reversing PEMDAS)
- For polynomial of degree two or higher, if you can shift (subtact) everything to the left side of the equation and set the right side to zero, you can then...
  - if you're lucky, factor, and set each factor to zero to solve equations (what does mean graphically?) (1.4 #14, 16, 20)
  - if you're not so lucky, and it is a 2nd degree polynomial, you could...
    - either use the "completing the square method" to "extract the two roots" (1.4 #41, 42)
    - or use the quadratic equation to do the same (1.4 #78, 90)
- Remember, when solving polynomials in this manner, we often say that we are finding "zeros" or "roots" or "poles" -- why??
You must know the following concepts...
- What are polynomials? (from chapter P.3)
- Completing the square method
- Quadratic formula
  - What is it?
  - Where does it comes from?
  - Exactly what is is used for and when may you use it?
  - Discriminant test - what is is, what does it mean, and how do you interpret the numerical result (and think of the graphical analogy)