Grade 8 - Algebraic Expressions Worksheet 3

1. Simplify ^13p²q⁄₃ − ^pq²⁄₁₀ + ^pq⁄₅ − ^q²p⁄₈ + ^qp²⁄₉ + ^pq⁄₂.

2. Simplify (^a²⁄₅ − ^3a⁄₄ + 9) − (^a⁄₉ − 5 + 4a²) − (^2a⁄₉ − ^2a²⁄₇ + 3).

3. Figure out the product of the pair of polynomials mention below.

i) -5m, 9mn ii) 6ab, −7a²b

4. Find the area of rectangular box whose length is 12a² and breadth is 21b².

5. Multiply ^4p⁴q²⁄₁₅ by ^5p³q⁄₂.

6. Find the volume of rectangular oil tank whose length, breadth and height are 2m³n, 5n²m and 3m²n.

7. Find the value of (6x⁶) × (−1.3 xy²) × (−13x²y) when x = 2, y = 1.

8. Find the product of (^5a²bc⁄₆) × (−5ab²c ) × (^c²ba⁄₄).

9. Find the product of (1.3rt) × (0.2r) × (0 .18).

10. Express (^-9a²b⁄₇) × (−^5bc²⁄₃) × (^a⁴c⁄₄) to monomial.

11. If the area of rectangular park is 16x² − 40y² − 24xy and one of its sides is 2x + 5y, find the length of adjacent side.

12. What should be subtracted from the polynomial m⁴ + 4m³ + m² − 9m − 18 so that the resulting polynomial is exactly divisible by m² − 3 − m.

13. By using proper identities, find the value of number that given below.

i) (106)² ii) (96)²
iii) 295 × 305 iv) 84² − 16²

14. Find the product of (^m²⁄₄ + ⁴⁄_n²) (^m²⁄₄ − ⁴⁄_n²) by using proper identities.

15. Using the identities evaluate the following

a) (100.2)² b) (8.9)² c) (100.3 × 99.7)

16. If p − ¹⁄_p = 4, then find the value of (p² + ¹⁄_p²).

17. If m + n = 9 and mn = 15, then find the value of m² + n².

18. If m² + n² = 40 and mn = 12, find the values of (m + n) and (m − n).

19. Find the value of (p − 9) (p − 11) by using identity (x + a)(x + b) = x² + (a+b)x + ab.

20. If the two adjacent side of rectangular corn field are 7a² + 14ab + 6b² and 3a² − 9ab + 4b², find its area.

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Algebraic Expressions Worksheet-3Download the pdf

Class-8 Algebraic Expressions Worksheet

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