Detailed Solutions for NCERT Class 6 Mathematics – Chapter 11 – Algebra – Exercise – 11.3

Detailed Solutions for NCERT Class 6 Mathematics – 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.
(Hint : Three possible expressions are 5 + (8 – 7), 5 – (8 – 7), (5 × 8) + 7; make the other expressions.)
Solution:
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:
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
Solution:
(b) 17y, y/17 , 5 z
(c) 2y + 17, 2 y – 17
(d) 7 m, – 7 m + 3, – 7 m – 3
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
Solution:
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.    
Solution:
6. (a) Form expressions using t and 4. Use not more than one number operation. Every expression must have t in it.
Solution:
(b) Form expressions using y, 2 and 7. Every expression must have y in it. Use only two number operations. These should be different.
Solution:

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