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

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Given Algebraic expression

Given Algebraic Expression

Given Algebraic expression

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)

Given Expressions factors are shown

Given Expressions Factors Are Shown

Given Expressions factors are shown

(b)

Factors of Expression

Factors of Expression

Factors of Expression

(c)

Factors of terms of given expression

Factors of Terms of Given Expression

Factors of terms of given expression

(d)

Factors of given expression

Factors of Given Expression

Factors of given expression

(e)

Expression, Terms and Factors are given

Expression, Terms and Factors Are Given

Expression, Terms and Factors are given

(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: