The NCERT Solutions for Class 6 Maths Chapter 11 Algebra Exercise 11.3 explains the method of solving problems based on the topic expressions in variables. The aim of preparing the NCERT Solutions for the exercise wise problems is to help students gain expertise in the subject. Students can improve their speed in solving problems of the NCERT textbook by using solutions created by expert teachers.

## NCERT Solutions for Class 6 Chapter 11: Algebra Exercise 11.3 Download PDF

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### Access NCERT Solutions for Class 6 Chapter 11: Algebra Exercise 11.3

**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.**

**Solutions:**

Some of the expressions formed by 5, 7 and 8 are as follows

5 Ã— (8 â€“ 7)

5 Ã— (8 + 7)

(8 + 5) Ã— 7

(8 â€“ 5) Ã— 7

(7 + 5) Ã— 8

(7 â€“ 5) Ã— 8

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**2. Which out of the following are expressions with numbers only?**

**(a) y + 3**

**(b) (7 Ã— 20) â€“ 8z**

**(c) 5 (21 â€“ 7) + 7 Ã— 2**

**(d) 5**

**(e) 3x**

**(f) 5 â€“ 5n**

**(g) (7 Ã— 20) â€“ (5 Ã— 10) â€“ 45 + p**

**Solutions:**

(c) and (d) are the expressions with numbers only.

**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 â€“ 1, y + 17, y â€“ 17**

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

**(c) 2y + 17, 2y â€“ 17**

**(d) 7m, -7m + 3, -7m â€“ 3**

**Solutions:**

(a) z + 1 = 1 is added to z = Addition

z â€“ 1 = 1 is subtracted from z = Subtraction

y + 17 = 17 is added to y = Addition

y â€“ 17 = 17 is subtracted from y = Subtraction

(b) 17y = y is multiplied by 17 = Multiplication

y / 17 = y is divided by 17 = Division

5z = z is multiplied by 5 = Multiplication

(c) 2y + 17 = y is multiplied by 2 and 17 is added to the result = Multiplication and addition

2y â€“ 17 = y is multiplied by 2 and 17 is subtracted from the result = Multiplication and subtraction

(d) 7m = m is multiplied by 7 = multiplication

-7m + 3 = m is multiplied by -7 and 3 is added to the result = Multiplication and addition

-7m â€“ 3 = m is multiplied by -7 and 3 is subtracted from the result = Multiplication and subtraction

**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 â€“m**

**(f) â€“p multiplied by 5**

**(g) â€“p divided by 5**

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

**Solutions:**

(a) 7 is added to p is (p + 7)

(b) 7 subtracted from p is (p â€“ 7)

(c) p multiplied by 7 is (7p)

(d) p divided by 7 is (p / 7)

(e) 7 subtracted from â€“m is (-m â€“ 7)

(f) â€“p multiplied by 5 is (-5p)

(g) â€“p divided by 5 is (â€“p / 5)

(h) p multiplied by -5 is (-5p)

**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.**

**Solutions:**

(a) 11 added to 2m is (2m + 11)

(b) 11 subtracted from 2m is (2m â€“ 11)

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

(d) 5 times y from which 3 is subtracted is (5y â€“ 3)

(e) y is multiplied by -8 is (-8y)

(f) y is multiplied by -8 and then 5 is added to the result is (-8y + 5)

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

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

**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.**

**Solutions:**

(a) (t + 4), (t â€“ 4), 4t, (t / 4), (4 / t), (4 â€“ t), (4 + t) are the expressions using t and 4

(b) 2y + 7, 2y â€“ 7, 7y + 2,â€¦ are the expression using y, 2 and 7