# NCERT Class 7 Mathematics Solutions: Chapter 12 – Algebraic Expressions Exercise 12.1 Part 1

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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: