The following are the Algebra 2A students' reviews of Chapter 1.

S.B. writes:
Chapter one was about the language of Algebra. It was some review from previous courses, such as geometry and algebra one, mixed in with new concepts such as function notations. The language of algebra uses numbers and variables. It also uses algebraic sentences and expressions. In chapter one we solved equations, which was a review from previous courses.The book reviewed the oreder of operations with us for solving equations. Another significant part of chapter is functions. A function is a correspondence between two variables. We dealt with domain and range of functions and function notations. We made graphs of functions and wrote equations and solved them. We also rewrote formulas, using explicit and recursive formulas as well. The book gave us patterns with numbers and we would find the pattern and continue it, by writing a formula for it. We also made up our own formulas and had other classmates solve for the pattern or sequence. Chapter one was interesting and challenging, but it was not too hard. I hope the rest of this course will be equally as interesting and challenging.

E.B. writes:
In chapter one I learned how variables and numbers are used in algebra. The combination of the two is called an expression. A sentence is two expressions combined with a verb. A formula is an equation stating that a single variable is equal to an expression with one or more different variables on either side. Formulas are evaluated by using the Rules for Order of Operations. A functon is a pairing between two variables such that each value of the independent(first) variable corresponds to exactly one value of the dependent(second) variable. The domain of a function is the set of all values for an independent variable. The values for the domain are on the x-axis. The range of a function is the set of all values for the dependent value. The values for the range lie on the y-axis. Functions may be described by formulas, Eular's notation, and arrow or mapping notation. Since a function is a set of ordered pairs, where both coordinates are real numbers, for every ordered pair there is a point in the plane. Therefore, we can make a graph of the function. No vertical line intersects the graph of a function in more than one point according to the vertical line Test for Functions. A function whose domain is the set of natural numbers is a sequence. Sequences can be defined explicitly and recursively. A recursive formula indicates the first term , and tells how the nth term is related to one or more of the previous terms. Explicit formulas are used to calculate any term of the sequence by substituting a certain value for n. Over all I felt I learned and retained many of the main points in chapter one. Except I still have trouble with explicit and recursive formulas.

K.W. writes:
Chapter One was a great way of starting the Algebra II book. It was a good combination of reviewing things we learned in the Algebra I book and things that we are going to be learning in the Algebra II book. We reviewed how to rewrite formulas in terms of different variables and how to solve certain equations. We learned all about functions: what they are, how to write them and how to graph them. We also learned all about recursive and explicit formulas which I found very interesting.

A.M. writes:
The beginning of Chapter One was basically a review of what i had learned the previous year in Algebra I. We reviewed the basics about variables, expressions, and algebraic sentences. Moving on, we learned about functions, dependent variables, independent variables, and domains and ranges of a function. We learned how to use functions in and out of everyday situations. The book next describes different kinds of notations related to functions. Then, the next section takes functions and then graphs them. The sections shows you functions that work and don't work. The chapter continues by introducing topics such as rewritting formulas, and introducing explicit formulas, as well as, notion for sequences. The chapter concludes with recursive formulas, what they are, writing them, and their noations.

S.S. writes:
In chapter 1 we studied functions, and formulas. Functions are often denoted by a certain letter, (variable) by writing f(x). We also learned what domian and range are along the coordinate plain. The domain lies along the x axis and the range along the y axis. In the early portion of chapter 1, we learned about independent and dependent variables. For each independent variables there is one dependent varibles. We also learned about sequences, which is a function whose domain is a set of natural numbers. Sequences can be writtin explicitly or recursively. The recursive has actually two formulas in one!! wow!

C.A. writes:
I really enjoyed chapter one. It was a wonderful combination of review (of significant terms such as variables, expressions, order of operations, the distributive property, etc..) along with an interesting mix of new information. Lesson 1-1 was a basic review of algebraic terms. Lesson 1-2 was much more difficult as it included functions, with domains and ranges (which took me a very long time to understand). Lesson 1-3 started with f(x) notation, which was a great continuation of functions in 1-2. In general, it was challenging, but not impossible.

M.B. writes:
1. Chapter 1 is about the language of algebra, functions notations and graphing functions, Solving equations, rewriting formulas , recursive formulas for sequences, and notation for recursive formulas.

E.W. writes:
In the first chapter of the math book i learned about the launguage of Algebra such as what a variable is and algebraic expressions. I also learned about what a function is. This taught me what an inmdependent and dependent variable is. I learned the domain of functions and i learned about the range of functions. I learned the ways to write functions (function notation). Euler's notaion is an example of one notation. I then learned how to work of graphs of notaions. After that the class went into a review of solving equations, this was my personal favorite part of the lesson. The came a hard part of rewriting formulas, but i eventually figured it out.I then learned about explicit formulas for sequences, using variables and subscripts. Then the class learned about recursive formulas for sequences, which was similar to explicit formulas for sequences. Finally we learned the notation for recuarsive formulas. Thats pretty much all that i learned in chapter one of our math book.

D.U. writes:
As an introduction to Algebra 2, Chapter 1 proved very useful in reminding how algebra is used in our everyday lives. We were shown how functions relate two variables and how these can be used in real life e.g. graphing the domain, the range and substituting them in actual everyday problems. Chapter 1 also taught us to substitute variables(letters) for numbers and from here on, attempt to make general rules and formulas with them. Going a step further, these variables were substituted in ordered formulas or sequences from which we learned to find next and previous terms through recursive formulas and any term through explicit formulas. Most of all, however, it proved very useful to apply all of these skills in real life problems which is just what our Algebra 2 book did.

S.C. writes:
I learned about the language of Algebra. I leraned what a function is and how to use it. I learned how to graph functions and how to use function notations. I learned how to solve equations involving functions and sequences. I learned how to rewrite formulas in terms of different variables. I learned what explicit and recursive formulas are and how to use and incorporate them. I also learned about the notation for recursive formulas and their importance in math.

A.K. writes:
In chapter 1 we have learened a few things. Firstwe havelearned what a function is. We have learned to graph a function or tell if a graph is a function. Then we learned about equasions and solving them for numbers or variables. We also learned about sequences. We learned that they can be expressed in two ways: explicit or recursive. These are the things that are in the first chaper.

S.B. writes:
Chapter one was mainly about functions. : it had a lot to do with telling if something : was or wasnt a function and why. : it also had the domain and range of functions. : we also did explicit and recursive formulas with : sequences and solving for the formula and finding : parts of the sequences.