Algebra

This chapter introduces the concept of expansions. It highlights the expansions of various algebraic identities, including the square of a binomial and trinomial. With the help of examples, we will learn how to expand the expressions.

This chapter sheds light on factorisation. We acquire knowledge about the method of factorisation of cyclic expressions. We will understand the concept of cyclic expressions and cyclic factors through various examples.

In this chapter, we learn different methods to solve simultaneous linear equations. We will also learn to solve word problems based on simultaneous linear equations with the aid of examples.

In this chapter, we learn to solve simultaneous equations by the method of elimination by substitution or by equating coefficients. We also learn to solve simultaneous equations by cross multiplication with the help of various examples.

This chapter discusses quadratic equations. It explains the relation between roots and coefficients. We will learn the factorisation method of solving a quadratic equation and the formation of the quadratic equation when the roots are given.

This chapter explores the concept of indices. It describes the terms such as base, index, squares and cubes of numbers and explains the multiplication and division of indices with the same base. It also discusses the index of the product.

This chapter states that the logarithm is the inverse function of exponentiation. It elucidates that the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised to produce that number x.