These NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.3 Questions and Answers are prepared by our highly skilled subject experts.

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

Question 1.

Make up as many expressions with numbers (no variables) as you can from 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 + (8 – 7), 5 – (8 – 7), (5 × 8) + 7; make the other expressions.)

Answer:

(a) (8 × 5) – 7

(b) (8 + 5) – 7

(c) (8 × 7) – 5

(d) (8 + 7) – 5

(e) 5 × (7 + 8)

(f) 5 + (7 × 8)

(g) 5 + (8 – 7)

(h) 5 – (7 + 8)

Question 2.

Which out of the following are expressions with numbers only?

(a) y + 3

(b) (7 × 20) – 8z

(c) 5 (21 – 7) + 7 × 2

(d) 5

(e) 3x

(f) 5- 5n

(g) (7 × 20)- (5 × 10) – 45 + p

Answer:

(c) and (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, \(\frac{\mathrm{y}}{17}\) , 5z

(c) 2y + 17, 2y- 17

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

Answer:

(a) z + 1 Addition z – 1 → Subtraction

y + 17 → Additiony – 17 → Subtraction

(b) 17y → Multiplication y/17 → Division

5z → Multiplication

(c) 2y + 17 → Multiplication and Addition

2y – 17 → Multiplication and Subtraction

(d) 7m → Multiplication

-7m + 3 → Multiplication and Addition

7m – 3 —> 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

Answer:

(a) p + 7

(b) p – 7

(c) 7p

(d) p/7

(e) -m – 7

(f) -5 p

(g) -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 y 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

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

(h) y is multiplied by – 5 and the result is added to 16

Answer:

(a) 2m + 11

(b) 2m – 11

(c) 5y + 3

(d) 5y – 3

(e) -8y

(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.

Answer:

(a) t + 4, t – 4, 4 – t, \(\frac{t}{4}, \frac{4}{t}\)

(b) 2y + 7, 2y – 7, 7y + 2, 7y – 2 and so on.