# Class 7 Maths Chapter 12 Exercise 12.2 Pdf Notes NCERT Solutions

Class 7 Maths Chapter 6 Algebraic Expression Exercise 12.2 pdf notes:-

- Exercise 12.1
- Exercise 12.3
- Exercise 12.4

**Exercise 12.2** Class 7 maths Chapter 12 Pdf Notes:-

**To see video Solution Of This Exercise Click Here**

## Ncert Solution for Class 7 Maths Chapter 12 Algebraic Expression Exercise 12.2 Tips:

**ADDITION AND SUBTRACTION OF ALGEBRAICEXPRESSIONS**

Consider the following problems:

- Sarita has some marbles. Ameena has 10 more. Appu says that he has 3 more

marbles than the number of marbles Sarita and Ameena together have. How do you

get the number of marbles that Appu has?

Since it is not given how many marbles Sarita has, we shall take it to be x. Ameena

then has 10 more, i.e., x + 10. Appu says that he has 3 more marbles than what

Sarita and Ameena have together. So we take the sum of the numbers of Sarita’s

marbles and Ameena’s marbles, and to this sum add 3, that is, we take the sum of

x, x + 10 and 3.

- Ramu’s father’s present age is 3 times Ramu’s age. Ramu’s grandfather’s age is 13

years more than the sum of Ramu’s age and Ramu’s father’s age. How do you find

Ramu’s grandfather’s age?

Since Ramu’s age is not given, let us take it to be y years. Then his father’s age is

3y years. To find Ramu’s grandfather’s age we have to take the sum of Ramu’s age (y)

and his father’s age (3y) and to the sum add 13, that is, we have to take the sum of

y, 3y and 13. - In a garden, roses and marigolds are planted in square plots. The length of the

square plot in which marigolds are planted is 3 metres greater than the length of the

square plot in which roses are planted. How much bigger in area is the marigold plot

than the rose plot?

Let us take l metres to be length of the side of the rose plot. The length of the side of

the marigold plot will be (l + 3) metres. Their respective areas will be l

2

and (l + 3)2

.

The difference between (l2 + 3)2

and l2

will decide how much bigger in area the

marigold plot is.

In all the three situations, we had to carry out addition or subtraction of algebraic

expressions. There are a number of real life problems in which we need to use

expressions and do arithmetic operations on them. In this section, we shall see how

algebraic expressions are added and subtracted.

Thus, the sum of two or more like terms is a like term with a numerical coefficient

equal to the sum of the numerical coefficients of all the like terms.

Similarly, the difference between two like terms is a like term with a numerical

coefficient equal to the difference between the numerical coefficients of the two

like terms.

Note, unlike terms cannot be added or subtracted the way like terms are added

or subtracted. We have already seen examples of this, when 5 is added to x, we write the

result as (x + 5). Observe that in (x + 5) both the terms 5 and x are retained.

Similarly, if we add the unlike terms 3xy and 7, the sum is 3xy + 7.

If we subtract 7 from 3xy, the result is 3xy – 7