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   Algebra Section 1: Simplifying Rules
  
     

This chapter is divided into three parts: I.  Simple Equations
II.  Complex Expressions with Exponents
III. Manipulating Complex Expressions
IV. Inequalities


I.  Simple Equations

A. Fundamental Definitions
B. Single-Variable Equations
C. Solving Two Variables
D. More than Two Variables
E. Solving for Expressions
F. Equation Trick Questions

A. Fundamental Definitions

Variable
 Algebra is all about variables, sometimes called unknowns. These are unknown quantities that are usually expressed as a letter such as x or y.
Coefficient

This is a number next to a variable that describes how many of the variable there are. For example,
4x, where 4 is the coefficient.
Constant
 These are fixed numbers. 4x + 7, where 7 is the constant.
Equation
 This is where at least two expressions separated by an equal sign.
eg. 4x = 4y + 2.
Solution/Root
 What values for the variables will solve the equation?


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