Algebraic Expressions Worksheets 4

1. Using proper identities find the product of (5x + 12y)(5x − 12y).

2. Using the proper identities, evaluate 596 × 604.

3. Find the value of ( √ 4 a+ √ 9 b)² by using Identities property.

4. Using identity property p² − q² = (p + q)(p − q), find the value of (3.05)² − (1. 95)².

5. Simplify (m² − n²p)² + 2m²n²p².

6. Using the identity property, (x + p)(x − q) = x² + (p+q)x + pq. Evaluate the given number below.

a) (109 × 91) b) (4x + 5) (4x − 6)

7. If m − ¹⁄_m = 9, evaluate m⁴ − ¹⁄_m⁴.

8. If p² + q² = 75 and pq = 3, then find the value of (p + q).

9. If m² + ¹⁄_m² = 27, evaluate m − ¹⁄_m.

10. If m + n = 8 and mn = 9, find the value of m² + n².

11. Which of the following algebraic expression is not a polynomial?

a) 2m² − 2m + 9 b) ^3p³⁄_2p + 5p²+ 6
c) 5x + ⁶⁄_x + 3 d) √ 5 y² + √ 7 y + √ 3

12. Degree of the polynomial 9p²qr² + 5p³q²r² − 3p + 5q is _____?

a) 5 b) 4
c) 6 d) 7

13. (5x²yz³) × (−2x³yz²) × 9xyz³ is equal to _____.

a) -90x⁵y³z⁸ b) 90x⁵y³z⁸
c) -90x⁴y⁸z² d) 90xyz²

14. ^5mn⁄₃ − ^mn⁄₂ + ^4mn⁄₉ is equal to _____?

a) 21mn b) ^29mn⁄₁₈
c) ^-29mn⁄₂₈ d) ^-19mn⁄₂₈

15. (105)² − (95)² is equal to ____?

a) 2000 b) 2025
b) 2095 c) 1095

16. 7p × (2p² − 3pq + 4p²) is equal to _____?

17. If the area of a rectangular room is 48 (p²qr + pq²r + pqr²) and its breadth is 12pqr, then its length is ______?

18. m(n − p) + n(p − m) + p(m − n) is equal to _____?

19. 80 × 120 is equal to ____?

20. Simplify the below equations and evaluate them by putting the value of p = 1 and q = -1

(4pq − 3p² + 6q²) × (3q² − 5pq + 7q²) + 9p³q − 2q⁴.

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Algebraic Expressions Worksheet-4Download the pdf

Class-8 Algebraic Expressions Worksheet

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