This document summarizes a student's experience in their Algebra II class. It lists the key topics covered, including real numbers, functions, polynomials, matrices, and conic sections. It provides examples of concepts like linear programming, ellipses, exponential equations, and using matrices to solve a word problem about fruit prices. In conclusion, the student gained a strong foundation in algebraic concepts and their applications.

1. My Time in Algebra II
JACKSON X. MCKENZIE

2. “The essence of mathematics
is not to make simple things
complicated, but to make
complicated things simple,” S
Gudder.

3. What I Learned This Year
 Real Numbers  Polynomial Functions
 Equations and  Conic Sections
Inequalities  Exponential and
 Functions and Graphs Logarithmic Functions
 System of Equations  Sequences and Series
 Matrices
 Polynomials
 Rational Expressions
 Irrational and Complex
Numbers
 Quadratic Functions

4. Linear Programming Example
 You need to buy some filing
cabinets. You know that
Cabinet X costs $10 per unit,
requires six square feet of
floor space, and holds eight
cubic feet of files. Cabinet Y
costs $20 per unit, requires
eight square feet of floor
space, and holds twelve
cubic feet of files. You have
been given $140 for this
purchase, though you don't
have to spend that much.
The office has room for no
more than 72 square feet of
cabinets. How many of
which model should you
buy, in order to maximize
storage volume?

5. Example of an Ellipse
An ellipse is a curve that is the locus of all points in
the plane the sum of whose distances and from
two fixed points and (the foci) separated by a
distance of is a given positive constant (Hilbert
and Cohn-Vossen 1999, p. 2). This results in the
two-center bipolar coordinate equation

6. Examples of Exponential Equation

7. Example of Matrices
Tommy sold 2 apples 1
orange and bought 3
bananas for -4 dollars.
He sold 4 apples,
bought 2 oranges, and
sold 1 banana for 9
dollars. And Tommy
sold 3 apples, 5
oranges and bought 2
bananas for 5 dollars.
Assuming the price for
fruit is constant what is
the price for apples,
oranges and bananas.

8. In Conclusion