This topic is composed of Algebra and the way of representing it. Variables are the letters or objects used to express the unknown value or represent what varies in an expression. Constants are values that cannot be changed. Chapter 8 Introduction to Algebra involves rules for manipulating symbols and finding expressions using variables and constants. These symbols are correlated with each other.
It deals with the numerous algebraic formulae used for performing calculations. These expressions can be obtained in a sentence form too. In algebra, different mathematical operations are used, such as addition, multiplication, and division. For example, let x and b be two variables. Then, x+b, x-b are a few algebraic expressions.
Chapter 8- Introduction to Algebra discusses the primary concept of Algebra: it uses variables and changes them with the help of a few rules according to the requirements. A coefficient is defined as the number preceding the variable in an equation, (i.e.) 5x, where 5 is the coefficient. In algebra, balancing plays a major role. All the mathematical concepts make use of algebra. Algebra is used to predict certain data which changes according to the situation. It involves a logical path to solve problems. Variables and constants combine to form different types of equations.
The chapter finally tells us about the properties of algebraic equations, which obey the basic properties of numbers like commutative, associative, and distributive properties of addition and multiplication. Elementary algebra is used in real life too. Algebra can include others like real and complex numbers, vectors, and matrices too. Thus the varied applications of this chapter make it essential that the students go for a thorough study.