RD Sharma Class 7 Solutions Chapter 7 - Algebraic Expressions (Ex 7.4) Exercise 7.4

Algebraic expressions are made up of letters or alphabets that are used to express numbers without providing their real values. The fundamentals of algebra taught us how to express unknown values using letters like x, y, and z. These letters are referred to as variables in this context. Variables and constants can be combined in an algebraic expression. A coefficient is any value that is placed before and multiplied by a variable.

In mathematics, an algebraic expression is a combination of variables and constants, as well as algebraic operations (addition, subtraction, etc.). Terms are the building blocks of expressions. For example-

4x + 5y – 8,  5x – 11, etc.

These expressions are represented by unknown variables, constants, and coefficients. An expression is defined as the combination of these three terms. In contrast to an algebraic equation, an algebraic expression does not have sides or an equal sign. Some of the examples are:

• 4x + 3y – 6

• x – 10

• 4x² − 5xy + 5

Algebraic Expression Types

Algebraic expressions are divided into three categories:

1. Monomial Expression

2. Binomial Expression

3. Polynomial Expression

• Monomial Expression

An algebraic expression with only one term is called a monomial.

Monomial expressions include the following- 3x⁴, 3xy, 3x, 8y, etc.

• Binomial Expression

An algebraic statement with two distinct terms is known as a binomial expression.

Examples of binomial can be- 5xy + 8, xyz + x³, etc.

• Polynomial Expression

A polynomial is an expression that has more than one term with non-negative integral exponents of a variable.

Polynomial expressions include- ax + by + ca,  x³ + 2x + 3, etc.

The best tool for you to solve Chapter 7- Algebraic expression of Class 7 is RD Sharma Solution PDF. You can get it on the Vedantu website. 

However, To solve any algebraic equation, start by isolating the variable term on one side of the problem, and then using inverse operations to remove any coefficients or exponents as needed. For example, division reverses a coefficient's multiplication, and square roots reverse a second-power exponent's squaring operation.

It's important to remember that if you apply an operation to one side of an equation, you must also apply the identical operation to the opposite side. You can change the way the terms of an equation are expressed without changing their relationship to each other if you follow this rule.

There are numerous benefits of reading RD Sharma solutions. It helps you in understanding the concept better and gets you acquainted with the paper pattern too.

Other benefits are as followed-

• After performing significant investigations, qualified math professors produced solutions.

• Solutions are written in a simple and straightforward manner, with step-by-step explanations for each question in the RD Sharma textbook.

• A variety of explanations are presented to address a specific situation.

• The solutions allow you to easily access all of the chapters and activities inside each chapter.

• Students can learn how to solve issues rapidly by using shortcut tips and tactics.

• Assist pupils in establishing a solid conceptual foundation.

• The explanations for the full Maths syllabus are included in the solutions.