# NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions

NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions: An algebraic expression contains terms, factors, and coefficients. Consider an expression 2x+3y+4z, this expression is obtained by adding the terms 2x, 3y and 4z. Here the coefficient of x is 2, y is 3, z is 4. The factors of 2x are 2 and x, the factors of 3y are 3 and y, the factors of 4z are 4 and z. Another concept of NCERT Solutions for Class 7 Maths Chapter 12 is like and unlike terms. The terms containing same algebraic factors (i.e those which contain variables) are like terms, for example, 3xy, 5xy are like terms since both have the algebraic factors (i.e those which contain variables) x and y. The term which contains different algebraic factors is unlike terms. Next concept of NCERT Solutions for Class 7 Maths is about monomial, binomial, trinomial and polynomials.

Monomial: An algebraic expression with only one term is known as a monomial. Example: 2x, 3xy, 4xyz, etc.

Binomial: An algebraic expression with two, unlike terms, are known as binomial. Example: 2x+3xy

Trinomial: An algebraic expression with three, unlike terms, are known as trinomial. Example: 2x+3xy+4xyz

polynomial: An algebraic expression with more than one unlike term is known as a polynomial. Example: 2x+3xy+4xyz+abc. Binomial and trinomial are also polynomial.

Another concept of NCERT Solutions of this chapter is the addition and subtraction of algebraic expression. If an expression contains the sum of more than one like terms they can be combined to form a single term. Example 14x+6x+60x+20x is a monomial since it can be added and can be written as 100x. That is like terms of algebraic expressions can be added and subtracted to form a single term.

Q) simplify 6x+4x+2y+3y-6y-9x

(6x+4x-9x)+(2y+3y-6y)=(10x-9x)+(5y-6y)=x-y which is a binomial

## 12.1 Introduction

12.2 How Are Expressions Formed?

12.3 Terms Of An Expression

12.4 Like And Unlike Terms

12.5 Monomials, Binomials, Trinomials And Polynomials

12.6 Addition And Subtraction Of Algebraic Expressions

12.7 Finding The Value Of An Expression

12.8 Using Algebraic Expressions – Formulas And Rules

This chapter is important for our coming classes. We must practice questions of this chapter and must be able to solve problems very fastly.

## NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions are given below:

NCERT Solutions for Class 7 Maths - Chapter-wise

 Chapter No. Chapter Name Chapter 1 Integers Chapter 2 Fractions and Decimals Chapter 3 Data Handling Chapter 4 Simple Equations Chapter 5 Lines and Angles Chapter 6 The Triangle and its Properties Chapter 7 Congruence of Triangles Chapter 8 Comparing Quantities Chapter 9 Rational Numbers Chapter 10 Practical Geometry Chapter 11 Perimeter and Area Chapter 13 Exponents and Powers Chapter 14 Symmetry Chapter 15 Visualizing Solid Shapes