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.