Algebra

In this chapter, we will learn different methods such as substitution, elimination, and cross-multiplication to solve linear equations. It also explains the conditions for consistency of a linear equation.

This chapter discusses quadratic equations and the different methods to find their solutions. Here, we also learn about the nature of roots and their relation with the coefficient of quadratic equations.

This chapter describes the concept of factorisation. It explains cyclic expressions and cyclic factors through various examples. We acquire knowledge about the method of factorisation of cyclic expressions.

In this chapter, we study various terms related to ratio and proportion. It provides us with some practice questions based on finding the ratios, comparing numbers, finding the ratio of shaded portion to unshaded in a figure, etc.

This chapter covers concepts based on matrices and their types. We learn scalar multiple of matrix, multiplication of matrices, and transpose of a matrix. It also explains the determinants, adjoint, and inverse and rank of a matrix.

This chapter describes arithmetic probression and geometric progression and their general terms. It defines finite and infinite arithmetic and geometric progression. It also covers numerous solved examples for a better understanding.