KSEEB Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1

KSEEB Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1

KSEEB Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1

Question 1.
Identify the terms, their coefficients for each of their following expressions.
(i) 5xy² – 3zy
(ii) 1 + x + x²
(iii) 4x²y² – 4x²y²z² – z²
(iv) 3 – pq + qr – rp
(v) x/2+y/2 – xy
(vi) 0.3a – 0.6ab + 0.5b
Solution:

Question 2.
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
x + y, 100, x + x² + x³ + x⁴, 7 + y5x, 2y – 3y², 2y – 3y² + 4y³, 5x – 4y + 3xy, 4z – 15z², ab + bc + cd + da, pqr, p²q + pq², 2p + 2q
Solution:
Monomials = 100, pqr
Binomials = x + y, 2y – 3y², 4z – 15z², p²q + pq², 2p + 2q
Trinomials = 7 + y 5x, 2y – 3y², 4y³, 5x – 4y + 3xy
Polynomials = x + x² + x³ + x⁴, ab + bc + cd + da

Question 3.
Add the following:
(i) ab – bc, bc – ca, ca – ab
(ii) a – b + ab, b – c + bc, c – a + ac
(iii) 2p²q² – 3pq + 4, 5 + 7pq – 3p²q²
(iv) l² + m², m² + n², n² + l², 2lm + 2mn + 2nl
Solution:

Question 4.
(a) Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3.
(b) Subtract 4xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz.
(c) Subtract 4p²q – 3pq + 5pq² – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq² + 5p²q.
Solution: