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Worksheet for Algebraic Expressions and Identities Class 8 Maths Chapter 9 CBSE





In this page we have Worksheet for Algebraic Expressions and Identities Class 8 Maths Chapter 9 CBSE . Hope you like them and do not forget to like , social share and comment at the end of the page.
Question 1
 Use a suitable identity to get each of the following products.
a) (p - 11) (p + 11)
b) (2y + 5) (2y - 5)
c) (12a – 9) (12a +)
d) (2a-1/2)(2a-1/2)
e) (1.1m – 0.4) (1.1m + 0.4)
 f) (a2+ b2) (– a2+ b2)
 g) (6x – 7) (6x + 7)
 h) (– a/2 + c/2) (– a/2 + c/2)
i) [ (p/8)+(3q/4)] [ (p/8)+(3q/4)]
j) (3a + 9b) (3a – 9b)
k) 2(a – 9)2
 l) 5(xy - 3z)2
 m) (6x+ 5y)2
 n) 36[(3p/2}) + (2q/3)]2
o) (x – 0.5y)2
 p) (2xy - 5y)2
Question 2
 Use the identity (x + a) (x + b) = x+ (a + b) x + ab to find the following products.
(i) (p + 10) (p + 11)
 (ii) (4x + 9) (4x + 12)
 (iii) (x – 5) (x – 1)
 (iv) (9x - 5) (9x – 1)
 (v) (2x + 5y) (2x + 3y)
 (vi) (2a2+ 9) (2a2+ 5)
Question 3
 Simplify the following
(i) (x2– y2)2 +  4x2y2
 (ii) (p + q)– (p – q)2 + p2q2
 (iii) (2m – 8n)2+ (2m + 8n)2
 (iv) (4m + 5n)+ (5m + 4n)2 + (4m + 5n) (4m -5n)
 (v) (.5p – 1.5q)– (.5p – 1.5q)2 +p2q2
 (vi) (ab - bc)2+2ab²c
 (vii) (m– n2m)+ 2m3n2

Question 4
Using identities, evaluate.
a) 91²
 b) 89²
 c) 2022
 d) 999²
 e) 1.2²
 f) 397 x 403
 g) 48 x 52
 h) 5.12
(i) 612– 592
  j) 11.12– 9.92
 (k) 503 x 504
 (l) 2.1 x 2.2
 (m) 103 x 98
 (n) 9.7 x 9.8
(o) 7292– 2712
Question 5
Find the value of x if 8x=352 -272
Question 6
a) If a -1/a =4, find the value of a2 + 1/a2
b) If p +q =13 and pq =22, then p2 + q2

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