Math 2

A, B, C, D,
E , F, £

Mathematics 2 Approved by CDC 251

Algebra

See, feel, learn and do.

In algebra, 5a + 3a = 8a 5+3=8
We add the numerals. Where ‘a’ denotes apple.

Fill in the boxes as shown:

4 apples + 3 apples = 7 apples
mangoes + 8 mangoes = 14 mangoes
7 pencils + pencils = 12 pencils
pens + 11 pens = 20 pens
caps + 12 caps = 25 caps
3 watches + 5 watches = watches

Study and learn.

7+2=9 and 7 + = 9 =2
7+ =9 ∴ The value of

+2=9
Here, + 2 = 9
∴ The value of = 7

Again,

12 + = 19

Or, 12 + x = 19, Where, = x
∴ x = 7 (By inspection)
Here, the value of x is 7 and x is lateral quantity.

252 Approved by CDC Mathematics 2

Fill in the boxes as shown:

8 + 5 = 13 7 + = 15 15 + = 27
+ 5 = 13 7 + x = 15 15 + x = 27
8 + = 13 ∴ x = ∴ x =

9 + = 16 19 + = 36 + 20 = 35
9 + x = 16 19 + x = 36 x + 20 = 35
∴ x = ∴ x = ∴ x =

+ 12 = 25 + 21 = 29 + 26 = 40
x + 12 = 25 x + 21 = 29 x + 26 = 40
∴ x = ∴ x = ∴ x =

Study and learn. Two, sir!

Dorje,
what is the sum of one
apple and one banana ?

You are wrong!

Sum of one apple and one banana is "one apple and one banana" or a + b.
These are different objects.
Thus the sum of a and b = a + b.

the sum of x and y = x + y.

Similary, the difference of a and b = a - b.
the difference of x and y = x - y.

Mathematics 2 Approved by CDC 253

Complete the following . Mathematics 2

a. The sum of a and b is
b. The sum of x and 5 is
c. The sum of 2a + 3b is
d. The difference of x and y is
e. The difference 5a and 5b is

Answer the followings.
a. If a = 2 and b = 3, find a + b.
a+b= + =
b. If x = 5 and y = 15, find x + y.
x+y= + =
c. If a = 20 and b = 12, find a - b
a-b= + =
d. If x = 15, y = 9, find x - y.
x-y= + =

Answer the followings.
a. If a = 5 and b = 7, find a + b.
a+b= + =
b. If x = 3 and y = 17, find x + y.
x+y= + =
c. If a = 22 and b = 10, find a - b
a-b= + =
d. If x = 10, y = 5, find x - y.
x-y= + =

254 Approved by CDC

Unit Revision Sheet

1. Fill in the blanks.

It is a collection of .
So, it is a set of .

to the set.

It is a collection of to the set.
So, it is a set of
.
.
to the set.

to the set.

2. Observe and cross the odd one. Also, write the name of the sets.

Mathematics 2 Approved by CDC 255

3. Complete the following .
a. The sum of x and y is
b. The sum of a and b is
c. The sum of 2a + 5a is
d. The difference of a and b is
e. The difference a and 3 is

4. Fill in the boxes given below.
a. x + 8 = 20 ; x =
b. 4 + a = 10 ; a =
c. 4 + 12 = x ; x =
d. 20 – 15 = a ; a =
e. a – 10 = 15 ; a =

256 Approved by CDC Mathematics 2