Punjab State Board PSEB 6th Class Maths Book Solutions Chapter 7 Algebra Ex 7.3 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 6 Maths Chapter 7 Algebra Ex 7.3

1. Pick the algebraic expressions and the arithmetic expressions from the following:

Question (i)

(i) 2l – 3

(ii) 5 × 3 + 8

(iii) 6 – 3x

(iv) 51

(v) 2 × (21 – 18) + 9

(vi) \(\frac {6a}{5}\) + 2

(vii) 7 × 20 + 5 + 3

(viii) 8.

Solution:

Algebraic Expressions :

2l – 3, 6 – 3x, 51, \(\frac {6a}{5}\) + 2

Arithmetic Expressions :

5 × 3 + 8, 2 × (21 – 18) + 9, 7 × 20 + 5 + 3, 8.

2. Write the terms for the following expressions:

Question (i)

2y + 5z

Solution:

Terms of 2y + 5z = 2y, 5z

Question (ii)

6x – 3y + 8

Solution:

Terms of 6x – 3y + 8 = 6x, -3y, 8

Question (iii)

7a

Solution:

Terms of 7a = 7a

Question (iv)

3l – 5m + 2n

Solution:

Terms of 31 – 5m + 2n = 31, -5m, 2n

Question (v)

\(\frac {2l}{3}\) + x.

Solution:

Terms of = \(\frac {2l}{3}\) + x = \(\frac {2l}{3}\), x

3. Tell how the following expressions are formed.

Question (i)

a + 11

Solution:

a + 11 = a is increased by 11

Question (ii)

12 – x

Solution:

12 – x = x is subtracted from 12

Question (iii)

3z + 8

Solution:

3z + 8 = Three time of z is increased by 8

Question (iv)

6 – 5l

Solution:

6 – 5l = 5 times of l is subtracted from 6

Question (v)

\(\frac {5a}{4}\)

Solution:

\(\frac {5a}{4}\) = 5 times a is divided by 4.

4. Give expressions for the following:

Question (i)

10 is added to p

Solution:

10 is added to p = p + 10

Question (ii)

5 is subtracted from y

Solution:

S is subtracted from y = y – 5

Question (iii)

d is divided by 3

Solution:

d is divided by 3 = \(\frac {d}{3}\)

Question (iv)

l is multiplied by – 6

Solution:

l is multiplied by – 6 = – 6l

Question (v)

m is subtracted from l

Solution:

m is subtracted from 1 = 1 – m

Question (vi)

11 is added to 3x

Solution:

11 is added to 6x = 6x + 11

Question (vii)

y is divided by -2 and then 2 is added to the result

Solution:

y is multiplied by – 2 and then 2 is added to the result = – 2y + 2

Question (viii)

c is divided by 5 and then 7 is multiplied to the result

Solution:

c is divided by 5 and thus 7 is multiplied to the result = \(\frac {7c}{5}\)

Question (ix)

x is multiplied by 3 then subtracted this result from y

Solution:

x is multiplied by 3 then subtracted this result from y = y – 3x

Question (x)

a is added to b then c is multiplied with this result.

Solution:

a is added to b then c is multiplied by this result = (a + b) c

5. Write the number which is 15 less than y.

Solution:

The number which is 15 less than y = y – 15

6. Write the number which is 3 more than a.

Solution:

The number which is 3 more than a = a + 3

7. Find the number which is 1 more than twice of x.

Solution:

The number which is 1 more than twice of x = 2x + 1

8. Find the number which is 7 less than 5 times of y.

Solution:

The number which is 7 less than 5 times of y = 5y – 7

9. Somi’s present age is ‘a’ years. Express the following in algebraic form:

Question (i)

Her age after 15 years.

Solution:

Somi’s present age = ‘a’ years

Her age after 15 years = (a + 15) years

Question (ii)

Her age 2 years ago.

Solution:

Her age 2 years ago = (a – 2) years

Question (iii)

If Somi’s father’s age is 5 more than twice of her present age, express her father’ age.

Solution:

Somi’s father’s age is 5 more than twice of her present age

∴ Her father’s age = (2a + 5) years.

Question (iv)

If Somi’s sister is 4 years younger to her. Express her sister’s age.

Solution:

Somi’s sister is 4 years younger to her

∴ Her sister’s age = (a – 4) years

Question (v)

If Somi’s mother is 3 less than 3 times her present age. Express her mother’s age.

Solution:

Somi’s mother is 3 less than 3 times her present age

∴ Her mother’s age = (3a – 3) years.

10. The length of a floor is 10 more than two times of breadth what is the length if breadth is l meters?

Solution:

The breadth of floor = l metres

The length of the floor is 10 more than two times of its breadth

∴ Length of floor = (2l + 10) metres.