NCERT Class 6 Mathematics Eleventh Chapter Algebra Exercise 11.3 Solution
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.
(2) Which out of the following are expressions with numbers only?
Ans: (c) 5 (21 – 7) + 7 × 2 and (d) 5
(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
Ans: Addition, subtraction, addition, subtraction
Ans: multiplication, division, multiplication
(c) 2y + 17, 2y – 17
Ans: Addition, subtraction
(d) 7 m, – 7 m + 3, – 7 m – 3
(4) Give expressions for the following cases.
(a) 7 added to p
Ans: p + 7
(b) 7 subtracted from p
Ans: p – 7
(c) p multiplied by 7
Ans: p × 7 = 7p
(d) p divided by 7
Ans:
(e) 7 subtracted from – m
Ans: (- m) – 7
(f) – p multiplied by 5
Ans: (- p) × 5 = – 5p
(g) – p divided by 5
(h) p multiplied by – 5
Ans: p × (- 5) = – 5p
(5) Give expressions in the following cases.
(a) 11 added to 2m
Ans: 2m + 11
(b) 11 subtracted from 2m
Ans: 2m – 11
(c) 5 times y to which 3 is added
Ans: 5y + 3
(d) 5 times y from which 3 is subtracted
Ans: 5y – 3
(e) y is multiplied by – 8
Ans: – 8y
(f) y is multiplied by – 8 and then 5 is added to the result
Ans: (- 8y) + 5
(g) y is multiplied by 5 and the result is subtracted from 16
Ans: 16 – 5y
(h) y is multiplied by – 5 and the result is added to 16.
Ans: (- 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.
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