NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.3

NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.3, are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.3.

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, (cfrac { y }{ 17 } ), 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) (frac { p }{ 7 } )

(e) -m-1

(f) -5p

(g) – (frac { p }{ 5 } )

(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, (frac { t }{ 4 } ) , (frac { 4 }{ t } )  , 4 -1,4 +1 4 t

(b) 2y + 7, 2y – 7, 7y + 2

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