NCERT SOLUTIONS EXERCISE 11.3 CLASS 6 MATHS

Find here step by step NCERT Solutions Exercise 11.3 Class 6 Maths Chapter 11 Algebra. NCERT Solutions Exercise 11.3 Class 6 Maths deals with Expressions with Variables.

Prerequisite / Revise this:

NCERT Solutions Exercise 11.3 Class 6 Maths – Expressions

• A variable allows us to express relations in any practical situation. Variables are numbers, although their value is not fixed.

• We can do the operations of addition, subtraction, multiplication and division on them just as in the case of fixed numbers.

• Using different operations we can form Expressions With Variables like x + 2, x – 2, 3m, 5n, 7q, 3z + 9 etc.

EXERCISE 11.3
Expressions with Variables

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

Some expressions with numbers 5, 7 and 8 are:

5 + (8 × 7), 7 – (5 + 8),

7 × 8 × 5, 8 + (5 + 7),

(8 – 5) × 7, 5 × 7 – 8 etc.

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) among the given expressions are with numbers only.

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 , 5 z
(c) 2y + 17, 2 y – 17
(d) 7 m, – 7 m + 3, – 7 m – 3

ANSWER

ExpressionOperationFormation
(a) z + 1Addition1 is added to z
z – 1Subtraction1 is subtracted from z
y + 17 Addition17 is added to y
y – 17Subtraction17 is subtracted from y
(b)17yMultiplication17 times y
y17Multiplicationy times 17
5zMultiplication5 times z
(c)2y + 17Addition17 is added to 2 times y
2y – 17Subtraction17 is subtracted from 2 times y
(d)7mMultiplication7 times m
– 7m + 3Addition3 is added to -7 times m
– 7m – 3Subtraction3 is subtracted from -7 times m

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) p × 7
(d) p ÷ 7
(e) –m – 7
(f) –p × 5
(g) –p ÷ 5
(h) p × (–5)

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) 11 added to 2m + 11
(b) 11 subtracted from 2m – 11
(c) 5y + 3
(d) 5y – 3
(e) y(-8)
(f) –8y + 5 is added to the result
(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, 4t, t – 4, 4 – t, \frac{t}{4}, \frac{4}{t}

(b) 7 + 2y , 7 – 2y, 2y + 7, 2y – 7 etc

NCERT SOLUTIONS FOR CLASS 6 MATHS – CHAPTER 11 ALGEBRS

Check NCERT Solutions of other exercises from Class 6 Maths Chapter 11 Algebraic Expressions by clicking the links given below.

Exercise 11.1
Exercise 11.2
Exercise 11.3
Exercise 11.4
Exercise 11.5

We hope Ncert Solutions Exercise 11.3 Class 6 Maths has helped you understand how to construct Expressions With Variables.

Write in the comment section for any error or any solution related queries from the exercise. [ NCERT Solutions Exercise 11.3 Class 6 Maths ]

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