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NCERT Class 7 Mathematics Solutions: Chapter 12 β Algebraic Expressions Exercise 12.1 Part 1
1. Get the algebraic expressions in the following cases using variables, constants and arithmetic operations:
(i) Subtraction of .
(ii) One-half of the sum of numbers .
(iii) The number multiplied by itself.
(iv) One-fourth of the product of numbers .
(v) Numbers both squared and added.
(vi) Number added to three times the product of m and n.
(vii) Product of numbers subtracted from .
(viii) Sum of numbers subtracted from their product.
Answer:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
2.
(i) Identify the terms and their factors in the following expressions; show the terms and factors by tree diagram:
(a)
(b)
(c)
(d)
(e)
(ii) Identify the terms and factors in the expressions given below:
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
Answer:
(i)
(a)
(b)
(c)
(d)
(e)
(ii)
(a)
Terms:
Factors:
(b)
Terms:
Factors:
(c)
Terms:
Factors:
(d)
Terms:
Factors:
(e)
Terms:
Factors:
(f)
Terms:
Factors:
(g)
Terms:
Factors:
(h)
Terms:
Factors: