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