RBSE Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.3

Rajasthan Board RBSE Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.3 Textbook Exercise Questions and Answers.

RBSE Class 6 Maths Solutions Chapter 11 Algebra Ex 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 expression.)
Answer:
Many expressions can be formed by three numbers. Few of them are:
(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:
Expression in (c) and (d) are formed by using numbers only, as no variable is used in these equations.

Question 3.
Identify the operations (addition, subtraction, division, multiplication) in forming the following expresssions and tell how the expressions have been formed:
(a) z + 1, z - 1, y + 17, y - 17
Answer:
z + 1 is addition,
z - 1 is subtraction,
y + 17 is addition,
y - 17 is subtraction.

(b) 17y , \(\frac{y}{17}\), 5z
Answer:
17y is multiplication,
\(\frac{y}{17}\) is division,
5z is multiplication

(c) 2y + 17, 2y - 17
Answer:
2y + 17 is multiplication and addition,
2y - 17 is multiplication and subtraction.

(d) 7m, - 7m + 3, - 7m - 3
Answer:
7m is multiplication,
- 7m + 3 is multiplication and addition,
- 7m - 3 multiplication and subtraction.

Question 4.
Give expressions for the following cases:
(a) 7 added to p
Answer:
p + 7

(b) 7 subtracted from p
Answer:
P - 7

(c) p multiplied by 7
Answer:
7p

(d) p divided by 7
Answer:
p/7

(e) 7 subtracted from - m
Answer:
- m - 7

(f) - p multiplied by 5
Answer:
- 5p

(g) - p divided by 5
Answer:
- p/5

(h) p multiplied by - 5
Answer:
- 5p

Question 5.
Give expressions in the following cases:
(a) 11 added to 2m
Answer:
2m + 11

(b) 11 subtracted from 2m
Answer:
2m - 11

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

(d) 5 times y from which 3 is subtracted
Answer:
5y - 3

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

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

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

(h) y is multiplied by - 5 and the result is added to 16.
Answer:
- 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.
Answer:
t + 4, t - 4, 4 - t, 4t, t.4, 4/t

(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:
2y + 7, 2y - 7, 7y + 2, 7y - 2, ....