AP Board 7th Class Maths Solutions Chapter 9 Algebraic Expressions Ex 9.2

SCERT AP 7th Class Maths Solutions Pdf Chapter 9 Algebraic Expressions Ex 9.2 Textbook Exercise Questions and Answers.

AP State Syllabus 7th Class Maths Solutions 9th Lesson Algebraic Expressions Ex 9.2

Question 1.
State True or False and give reasons for your answer.
(i) 7x2 and 2x are unlike terms.
Answer:
True.
7x2 and 2x have different algebraic factors and terms contain variables with different exponents.

AP Board 7th Class Maths Solutions Chapter 9 Algebraic Expressions Ex 9.2

(ii) pq2 arid – 4pq2 are like terms.
Answer:
True.
pq2 and – 4pq2 are contain variables with same exponents. So, they are like terms.

(iii) xy, – 12x2y and 5xy2 are like terms.
Answer:
False.
xy, – 12x2y and 5xy2 are contain variables with different exponents. So, they are unlike terms.

Question 2.
Write like terms in the following :
(i) a2, b2, 2a2, c2
Answer:
Given a2, b2, 2a2, c2
Like terms: a2, 2 a2.

(ii) 5x, yz, 3xy, \(\frac{1}{9}\)yz
Answer:
Given 5x, yz, 3xy, \(\frac{1}{9}\)yz
Like terms : yz, \(\frac{1}{9}\)yz.

(iii) 4m2n, n2p, – m2n, m2n2
Answer:
Given 4m2n, n2p, – m2n, m2n2
Like terms: 4m2n, – m2n.

(iv) acb2, 2c2ab, 5b2ac, 3cab2
Answer:
Given acb2, 2c2ab, 5b2ac, 3cab2
Like terms: acb2, 5b2ac, 3cab2.

AP Board 7th Class Maths Solutions Chapter 9 Algebraic Expressions Ex 9.2

Question 3.
Write number of terms and name of the expression for the following algebraic expressions.
(i) p2q2p
(ii) 2020
(iii) 3ab – \(\frac{a}{2}\) + \(\frac{b}{5}\)
Answer:

Algebraic expression Number of terms Name of the expression
(i) p2q + q2p 2 Binomial
(ii) 2020 1 Monomial
(iii) 3ab – \(\frac{a}{2}\) + \(\frac{b}{5}\) 3 Trinomial

Question 4.
Classify the following into monomials, binomilas and trinomials:
(i) 8a + 7b2
(ii) 15xyz
(iii) p + q – 2r
(iv) l2m2n2
(v) cab2
(vi) 3t – 5s + 2u
(vii) 1000
(viii) \(\frac{\mathbf{c d}}{2}\) + ab
(ix) 5ab – 9a
(x) 2p2q2 + 4qr3
Answer:

Algebraic expression Name of the expression
(i) 8a + 7b2 Binomial
(ii) 15xyz Monomial
(iii) p + q – 2r Trinomial
(iv) l2m2n2 Monomial
(v) cab2 Monomial
(vi) 3t – 5s + 2u Trinomial
(vii) 1000 Monomial
(viii) \(\frac{\mathbf{c d}}{2}\) + ab Binomial
(ix) 5ab – 9a Binomial
(x) 2p2q2 + 4qr3 Binomial