RS Aggarwal Solutions Class 7 Maths Chapter 6 Algebraic Expressions (Updated For 2021-22)

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RS Aggarwal Solutions Class 7 Maths Chapter 6 – Algebraic Expressions

RS Aggarwal Solutions Class 7 Maths Chapter 6 Algebraic Expressions – Overview

• Addition and Subtraction

1. Like Terms

The coefficients of all the terms are added or subtracted.

2x + 4x – 3x – 2x = x

2. Unlike Terms

All the terms with similar variables are taken together and then, the coefficients are added or subtracted.

(2xy – 6xy) + (-3x + 4x) + 5y = -4xy + x + 5y

• Number Patterns

1. The successor of a natural number, n = (n+1). Eg: n = 10, so the successor (n+1) = 11.
2. If n is a natural number, then 2n is an even number.
3. (2n+1) is an odd number.

• Algebraic Expression

It is an expression formed with the help of operators i.e addition, subtraction, multiplications, and divisions.

• Equation

An equation is a condition when an equality sign “=” is used between two expressions.

Example: 4 + 4x = 16.

• Types Of Algebraic Expressions

• Monomial Expression – Expression with only one term.

Example: 3xy, 4x², 56y

• Binomial Expression – Expression with only two terms.

Example: xyz+3y², x²y²+3xy

• Trinomial Expression – Expression with more than two terms.

Example: xyz+x²y+y²z+z²

• General Formulae

1. (a + b)² = a²+ 2ab + b²

2. (a – b) ² = a² – 2ab + b²

3. (a + b) (a – b) = a²- b²

4. (a + b)³ = a³ + b³+ 3ab (a + b)

5. (a – b) ³ = a³ – b³- 3ab (a – b)

6. x³ + y³ = (x + y) (x² – xy + y²)

7. x³ – y³ = (x – y) (x² + xy + y²) 

RS Aggarwal Solutions Class 7 Maths Chapter 6 Algebraic Expressions – Important Exercises

RS Aggarwal Solutions Class 7 Maths Chapter 6 Ex 6.1

RS Aggarwal Solutions Class 7 Maths Chapter 6 Ex 6.2

RS Aggarwal Solutions Class 7 Maths Chapter 6 Ex 6.3

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