AP State Syllabus AP Board 8th Class Maths Solutions Chapter 11 Algebraic Expressions Ex 11.1 Textbook Questions and Answers.

AP State Syllabus 8th Class Maths Solutions 11th Lesson Algebraic Expressions Exercise 11.1

AP Board 8th Class Maths Solutions Chapter 11 Algebraic Expressions Ex 11.1

Question 1.
Find the product of the following pairs:
(i) 6, 7k
(ii) – 31, – 2m
(iii) -5t2 – 3t2
(iv) 6n, 3m
(v) – 5p2, – 2p
Solution:
The product of 6, 7k = 6 × 7k = 42k
ii) The product of – 3l, – 2m = (- 3l) × (- 2m) = 6/m
iii) The product of – 5t2, – 3t2 = (- 5t2) × (- 3t2) = 15t4
iv) The product of 6n, 3m = 6n × 3m = 18mn
v) The product of – 5p2, – 2p = (- 5p2) × (- 2p) = 10p3

AP Board 8th Class Maths Solutions Chapter 11 Algebraic Expressions Ex 11.1

Question 2.
Complete the table of the products.
AP Board 8th Class Maths Solutions Chapter 11 Algebraic Expressions Ex 11.1 1
Solution:
AP Board 8th Class Maths Solutions Chapter 11 Algebraic Expressions Ex 11.1 2

Question 3.
Find the volumes of rectangular boxes with given length, breadth and height in the following table.
AP Board 8th Class Maths Solutions Chapter 11 Algebraic Expressions Ex 11.1 3
Solution:
AP Board 8th Class Maths Solutions Chapter 11 Algebraic Expressions Ex 11.1 4

AP Board 8th Class Maths Solutions Chapter 11 Algebraic Expressions Ex 11.1

Question 4.
Find the product of the following monomials
(i) xy, x2y , xy, x
(ii) a, b, ab, a3 b, ab3
(iii) kl, lm, km, klm
(iv) pq ,pqr, r
(v) – 3a, 4ab, – 6c, d
Solution:
i) The product of xy, x2y, xy, x = xy × x2y × xy × x
= x5 × y3= x5y3

ii) The product of a, b, ab, a3b, ab3 = a × b × ab × a3b × ab3
= a6 × b6 = a6 b6

iii) The product of kl, lm, km, klm = kl × lm × km × klm
k3 × l3 × m3 =k3l3m3

iv) The product of pq, pqr, r = pq × pqr × r
= p2 × q2 × r2 – p2q2r2

v) The product of – 3a, 4ab, – 6c, d = (- 3a) × 4ab × (- 6c) x d
= + 72a2 × b × c × d
= 72a2bcd

Question 5.
If A = xy,B = yz and C = zx, then find ABC=
Solution:
ABC = xy × yz × zx = x2y2z2

AP Board 8th Class Maths Solutions Chapter 11 Algebraic Expressions Ex 11.1

Question 6.
If P = 4x2, T = 5x and R = 5y, then \(\frac{\mathrm{PTR}}{100}\) =
Solution:
\(\frac{P^{\prime} \Gamma R}{100}=\frac{4 x^{2} \times 5 x \times 5 y}{100}=\frac{100 x^{3} y}{100}\) = x3 y

Question 7.
Write some monomials of your own and find their products.
Solution:
The product of,some monomials is given below :
i) abc × a2bc = a3b2c2
ii) xy × x2z × yz2 = x3y2z3
iii) p × q × r = p3q3r3