# 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

(c) p3 + q3 + r3 – 3pqr
Solution:
p3, q3, r3, – 3pqr

(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

(c) a2 + 2ab + b2
Solution:
Trinomial

(d) – x
Solution:
Monomial

(e) p – q + r – s
Solution:

(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:

(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

(c) – 2ab, 5a, 3ba, bac
Solution:
– 2ab and 3ba

(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

(c) x, – y, – z, – 3
Solution:
x – y – z – 3

Question 6.
Write two examples of each expression:

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

(b) Monomial expression
Solution:
3x

(c) Trinomial expression
Solution:
a + 2b + 3c