AP Board 7th Class Maths Solutions Chapter 10 Algebraic Expressions Ex 2

AP State Syllabus AP Board 7th Class Maths Solutions Chapter 10 Algebraic Expressions Ex 2 Textbook Questions and Answers.

AP State Syllabus 7th Class Maths Solutions 10th Lesson Algebraic Expressions Exercise 2

Question 1.
Identify and write the like terms in each of the following groups.
(i) a², b², -2a², c², 4a
(ii) 3a, 4x, – yz, 2z
(iii) -2xy², x²y, 5y²x, x²z
(iv) 7p, 8pq, -5pq, -2p, 3p
Solution:
i) Group of like terms : [a², -2a²]
ii) Group of like terms: {-yz, 2zy}
iii) Group of like terms: {-2xy², 5y²x}
iv) Group of like terms: {7p, -2p, 3p} , : {8pq,-5pq}

Question 2.
State whether the expression is a numerical expression or an algebraic expression.
(i) x + 1
(ii) 3m²
(iii) -30 + 16
(iv) 4p² – 5q²
(v) 96
(vi) x² – 5yz
(vii) 215x²yz
(viii) 95 ÷ 5 x 2
(ix) 2 + m + n
(x) 310 + 15 + 62
(xi) 11 a² + 6b² – 5
Solution:
Algebraic expression
(i) x + 1
(ii) 3m²
(iv) 4p² – 5q²
(vi) x² – 5yz
(vii) 215x²yz
(ix) 2 + m + n
(x) 310 + 15 + 62
(xi) 11 a² + 6b² – 5

Numerical expression
(iii) -30 + 16
(v) 96
(viii) 95 ÷ 5 x 2
(x) 310 + 15 + 62

Question 3.
State whether the algebraic expression given below is monomial, binomial, trinomial or multinornial.
(i) y²
(ii) 4y — 7z
(iii) 1 + x + x²
(iv) 7mn
(v) a² + b²
(vi) 100 xyz
(vii) ax + 9
(viii) p² – 3pq + r
(ix) 3y² – x²y² + 4x
(x) 7x² – 2xy + 9y² – 11
Solution:

Algebraic Expression	Its name
(i) y2	Monomial
(ii) 4y – 7z	Binomial
(iii) 1 + x + x2	Trinomial
(iv) 7mn	Monomial
(v) a2 + b2	Binomial
(vi) 100 xyz	Monomial
(vii) ax + 9	Binomial
(viii) p2 – 3pq + r	Trinom ial
(ix) 3y2 – x2y2 + 4x	Trinomial

Question 4.
What is the degree of each of the monomials.
(i) 7y
(ii) -xy²
(iii) xy²z²
(iv) -11y²z²
(v) 3mn
(vi) -5pq²
Solution:

Monomial	Degree
(i) 7y	1
(ii) -xy2	1 + 2 = 3
(iii) xy2z2	1 + 2 + 2 = 5
(iv) -11y2z2	2 + 2 = 4
(v) 3mn	1 + 1 = 2
(vi) -5pq2	1 + 2 = 3

Question 5.
Find the degree of each algebraic expression.
(i) 3x – 15
(ii) xy + yz
(iii) 2y²z + 9yz – 7z – 11x²y²
(iv) 2y²z + 10yz
(v) pq + p²q – p²q²
(vi) ax² + bx + c
Solution:

Algebraic Expression	Degree
(i) 3x – 15	1
(ii) xy + yz	2
(iii) 2y2z + 9yz – 7z – 11x2y2	4
(iv) 2y2z + 10yz	3
(v) pq + p2q – p2q2	4
(vi) ax2 + bx + c	2

Question 6.
Write any two Algebraic expressions with the same degree.
Solution:
Algebraic expression, with the same degree are
i) ax² + bx + c .
ii) 4x² – 5x – 1