DAV Class 6 Maths Chapter 6 Worksheet 4 Solutions

The DAV Class 6 Maths Solutions and DAV Class 6 Maths Chapter 6 Worksheet 4 Solutions of Introduction to Algebra offer comprehensive answers to textbook questions.

DAV Class 6 Maths Ch 6 WS 4 Solutions

Question 1.
Separate the terms of the following algebraic expressions:

(a) x² – 2xy + y²
Solution:
x², – 2xy, y²

(b) 5a² + 6ab – 2b² + 3
Solution:
5a², 6ab, – 2b², 3

(d) x + y – z – xyz + 5
Solution:
x, y, – z, – xyz, 5

(e) 5x²y – 5xy²
Solution:
5x²y, – 5xy²

(f) 2x – 3y² + \(\frac{1}{5}\) x² – \(\frac{2}{3}\) y
Solution:
2x, – 3y², \(\frac{1}{5}\) x², – \(\frac{2}{3}\) y

Question 2.
Classify each of the following as monomial, binomial, trinomial or quadrinomial expressions:

(a) x + y
Solution:
Binomial

(b) 3
Solution:
Monomial

(d) – x
Solution:
Monomial

(e) p – q + r – s
Solution:
Qadrinomial

(f) – 2a + 3b
Solution:
Binomial

(g) 3xyz
Solution:
Monomial

(h) 0
Solution:
Monomial

(i) 5xy + 2yx + 3
Solution:
5xy + 2yx + 3 = 7xy + 3, so it is binomial

(j) – pq + qr + rp – pqr
Solution:
Quadrinomial

(k) 4afec – 2
Solution:
Binomial

(l) x³ + x² – x
Solution:
Trinomial

Question 3.
Is 4x + 3y + 2x a trinomial expression? Why not?
Solution:
4x + 3y + 2x is not trinomial
4x + 3y + 2x = 6x + 3y, so it is a binomial

Question 4.
Identify the like terms in the following:

(a) x², y², z², – x²
Solution:
Like terms are x² and \(\frac{1}{2}\) x²

(b) p, 3q, r, 4p
Solution:
p and 4p

(d) x²2yz, 2x²y²z, 4xyz², – 4yx²z
Solution:
x²yz and – 4yx²z

(e) – 11pq, 7 pr, qp, 4rq
Solution:
– 11pq and qp

(f) – a, 2b, 7a, 3c, a
Solution:
– a, 7a, a

(g) 3a²b²c, 2a³b²c, 2c³ba³, b²a³c
Solution:
2a³b²c and b²a³c

(h) 4x²y², – 2x²y, 3xyz, 2yx²
Solution:
– 2x²y and 2yx²

Question 5.
Write the algebraic expression whose terms are:

(a) 2a, 3b, – 2c
Solution:
2a + 3b – 2c

(b) 4x²y, – 2xy², – 3
Solution:
4x²y – 2xy² – 3

Question 6.
Write two examples of each expression:

(а) Binomial expression
Solution:
2x + 3y

(b) Monomial expression
Solution:
3x