Fundamental Concept of Algebra Class-6 RS Aggarwal ICSE Maths Goyal

Fundamental Concept of Algebra Class-6 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Chapter-12. We provide step by step Solutions of Exercise / lesson-12 Fundamental Concept of Algebra for ICSE Class-6 RS Aggarwal  Mathematics .

Our Solutions contain all type Questions with Exe-12 A , Exe-12 B, Exe-12 C, Exe-12 D, Exe-12 E, Exe-12 F to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-6 Mathematics.

Board	ICSE
Publications	Goyal brothers Prakshan
Subject	Maths
Class	6th
Chapter-12	Fundamental Concept of Algebra
Writer	RS Aggrawal
Book Name	Foundation
Topics	Solution of Exe-12 A , Exe-12 B, Exe-12 C, Exe-12 D, Exe-12 E, Exe-12 F
Academic Session	2021-2022

Fundamental Concept of Algebra Class-6 RS Aggarwal ICSE Maths Goyal Brothers Prakashan Chapter-12

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–: Select Topics :–

Exe-12 A ,

Exe-12 B,

Exe-12 C,

Exe-12 D,

Exe-12 E,

Exe-12 F,

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Algebra is the branch of Maths which uses alphabetical letters to find unknown numbers. These letters are also called variables. The values which are known in the given expression such as numbers are called constants

Basic Algebra

The algebra for class 6 covers all the basic concepts. Terms related to basic algebra skills are mentioned below.

1. Exponent
2. Expression
3. Polynomial (Monomial, binomial and trinomial)
4. Like terms and Unlike terms
5. Constants

Basic Algebra Operations

The general arithmetic operations performed in the case of algebra are:

• Addition: x + y
• Subtraction: x – y
• Multiplication: xy
• Division: x/y or x ÷ y

where x and y are the variables

The order of these operations will follow the BODMAS rule, which means the terms inside the brackets are considered first. Then, roots and exponents are operated on second priority

algebraic expression

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number

Polynomials in one variable

Polynomials in one variable are algebraic expressions that consist of terms in the form where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial

 The Building Blocks of Algebraic Expressions

• The basic building blocks of algebraic expressions are variables and constants. Algebraic expressions are created by combining numbers and variables using arithmetic operations such as  addition, subtraction, multiplication, division, and exponentiation.

• A term can be a number, a variable, or the product of a number and variables with an exponent.

• The number part of the term is called the coefficient. That is, the coefficient is the number that is multiplied by a variable or variables.

Degree of a Polynomial (with one variable)

5x⁴ + 7x – 15 ( This is an example of a polynomial which has 3 terms )

The Degree (for a polynomial with one variable, like x) is:… the largest exponent of that variable.

To find the degree all that you have to do is find the largest exponent of the polynomial.

Note: Ignore coefficients — coefficients have nothing to do with the degree of a polynomial

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Exe-12 A ,

Fundamental Concept of Algebra Class-6 RS Aggarwal ICSE Maths Goyal Brothers Prakashan

Page 167-168

Question 1:

Write the following in mathematical form using signs and symbol :

…………………

Question 2:

Write the following statement in mathematical form using signs and symbol :

…………….

Question 3:

……………………..

…………………….

……………………

Question 4:

Write the following in product form :

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Exe-12 B,

Fundamental Concept of Algebra Class-6 RS Aggarwal ICSE Maths Goyal Brothers Prakashan

Page 171-172

Question 1:

Write all the term of each of the following algebraic expression :

………………..

Question 2:

……………………

………………….

…………………..

Question 7:

State true or False :

…………………..

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Exe-12 C,

Fundamental Concept of Algebra Class-6 RS Aggarwal ICSE Maths Goyal Brothers Prakashan

Page 173

Question 1:

Which of the following algebraic expressions are polynomials ? Write the degree of each such polynomial.

…………………

Question 2:

…………………….

……………………

……………………

Question 5:

State true and False :

………………….

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Exe-12 D,

Fundamental Concept of Algebra Class-6 RS Aggarwal ICSE Maths Goyal Brothers Prakashan

Page 174-175

Question 1:

Find the value of :

……………….

Question 2:

……………………….

………………………

……………………..

Question 10:

If x = 4, y = 3 and z = -2, find the value of :

…………..

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Exe-12 E,

Fundamental Concept of Algebra Class-6 RS Aggarwal ICSE Maths Goyal Brothers Prakashan

Page 177

Question 1:

Add :

……………

Question 2:

…………………..

…………………..

…………………….

Question 14:

Simplify :

(i) 2m³………..

…………….

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Exe-12 F,

Fundamental Concept of Algebra Class-6 RS Aggarwal ICSE Maths Goyal Brothers Prakashan

Page 180

Question 1:

Subtract :

(i) 8x from 15 x

(ii)………….

…………

Question 2:

………………….

…………………..

……………………

Question 16:

Subtract 3y² – 5y – 4 from the sum of y- 5y² + 1 and 3y + 4y² – 5.

–: End of Fundamental Concept of Algebra Class-6 RS Aggarwal  Solutions :–

Return to-  RS Aggarwal Solutions for ICSE Class-6 Goyal Brothers Prakashan

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