Ncert Solutions For Class 6 Maths Chapter 11 Algebra Ex 11.3 Ncert Solutions For Class 6 Maths Chapter 11 Algebra Exercise 11.4 Ncert Solutions For Class 6 Maths Chapter 11 Algebra Exercise 11.3 Class 6 Maths Chapter 11 Algebra Exercise 11.4 Class 6 Chapter 11 Algebra Exercise 11.4

## NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.3

Question 1.

Make up as many expressions with numbers (no variables) as you conform with three numbers 5, 7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication.(Hint: Three possible expressions are 5 + (87), 5 – (8-7), 5 x 8 + 7; make the other expressions.)

Solution.

The possible expressions are 5 + (8 – 7), 5 – (8 – 7), (5 + 8) + 7, 5 + (8 + 7),

5 x 8 + 7, 5 x 7 + 8, 5 x 8-7, 5 x 7-8,

5 x (8 – 7), 5 x (8 + 7), 8 x (7 – 5), 8 x (7 + 5) etc.

Question 2.

Which out of the following are expressions with numbers only ?

**(a)** y + 3

**(b)** 7 x 20- 8z

**(c)** 5(21 -7)+** **7 x 2

**(d) **5

**(e)** 3x

**(f)** 5 – 5n

**(g)** 7 x 20 – 5 x 10 – 45 + p.

Solution.

(c), (d).

Question 3.

Identify the operations (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed:

**(a)** z + 1, z-1, y + 17, y-17

**(b)** 17y, y17, 5z

**(c)** 2y + 17, 2y – 17

**(d)** 7m, -7m + 3, -7m- 3.

Solution.

**(a)** Addition, subtraction, addition, subtraction

**(b)** Multiplication, division, multiplication.

**(c)** Multiplication and addition, multiplication and subtraction.

**(d)** Multiplication, multiplication and addition,multiplication and subtraction.

Question 4.

Give expressions for the following cases :

**(a)** 7 added to p

**(b)** 7 subtracted from p

**(c)** p multiplied by 7

**(d)** p divided by 7

**(e)** 7 subtracted from – m

**(f)** -p multiplied by 5

**(g)** -p divided by 5.

**(h)** p multiplied by – 5.

Solution.

**(a)** p + 7

**(b)** p-1

**(c)** 7p

**(d)** p7

**(e)** -m-1

**(f)** -5p

**(g)** – p5

**(h)** – 5p.

Question 5.

Give expressions in the following cases :

**(a)** 11 added to 2m

**(b)** 11 subtracted from 2m

**(c)** 5 times y to which 3 is added

**(d)** 5 times v from which 3 is subtracted

**(e)** y is multiplied by – 8

**(f)** y is multiplied by – 8 and then 5 is added to the result

**(i)** y is multiplied by 5 and the result is subtracted from 16

**(j)** y is multiplied by-5 and the result is added to 16.

Solution.

**(a)** 2m +11

**(b)** 2m – 11

**(c)** 5y + 3

**(d)** 5v – 3

**(e) **-8v

**(f) **-8y + 5

**(g)** 16 – 5y

**(h)** -5y + 16.

Question 6.

**(a)** Form expressions using t and 4. Use not more than one number operation. Every expression must have t in it.

**(b)** Form expressions using y, 2 and 7. Every expression must have y in it. Use only two number operations. These should be different.

Solution.

**(a)** t + 4, t – 4,4t, t4 , 4t , 4 -1,4 +1 4 t

**(b)** 2y + 7, 2y – 7, 7y + 2