"Question 1 Identify the terms, their coefficients for each of the following expressions.
(i) 5xyz^2 − 3zy
(ii) 1 + x + x^2
(iii) 4x^2y^2 − 4x^2y^2z^2 + z^2
(iv) 3 − pq + qr − rp
(v) x/2 + y/2 - xy
(vi) 0.3a − 0.6ab + 0.5b
Class 8 Algebraic Expressions and Identities Page 140"
Answers
Algebraic expressions:
A combination of constants and variables connected by any or all of the four fundamental operations +, -,×,÷ is called an algebraic expression.
Terms:
The different parts of the expression separated by the sign+ or – are called the terms of the expression.
coefficient.
The numerical factor of a term is called its numerical coefficient or simply coefficient.
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Solution:
(I) 5abc² – 3cb
Terms : 5abc²
3cb
Coefficients: 5, -3
(II) 1+a+a²
Terms: 1, a, a²
Coefficients: 1, 1, 1
(III) 4x²y² – 4 x²y²z² + z²
Terms: 4x²y² , -4 x²y²z² , Z²
Coefficient: 4, -4, 1
(IV) 3 – xy + yz – zx
Terms: 3: -xy, yz, -zx
Coefficient: 3: -1, 1, -1
(V) a/2+b/2−ab
Terms: a/2, b/2, -ab
Coefficient: 1/2, 1/2, -1
(VI)0.3x-0.6xy+0.5y
Terms: 0.3x, -0.6xy, 0.5y
Coefficient: 0.3, -0.6, 0.5
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