If you're looking for a Grade 8 Maths Worksheet on Algebraic Expressions, you've come to the right place! This worksheet includes a variety of questions covering algebraic simplifications, equations, and word problems. Practicing these exercises will help students master algebra and improve problem-solving skills. Download this worksheet now for an engaging learning experience!

Boost your math skills with this Grade 8 Algebraic Expressions Worksheet, designed for students who want to strengthen their understanding of variables, coefficients, and expressions. With a mix of simplifications, real-world applications, and substitution exercises, this worksheet provides a comprehensive approach to algebra. Perfect for self-study or classroom practice!

Grade 8, Mathematics, Algebraic Expressions, Worksheet

Exercise: Type the correct answer

1. Simplify the expression: ( (3x + 7y) - (2x - 3y - z) ).

2. Simplify the expression: ( 4m times 3n ).

3. Simplify the expression: ( 6x + 7y - 8 - 5x + y - 2 ).

4. Simplify the expression: ( y(10 - y) + 3(y - 2) ).

5. Fill in the blank: ( -2(y - 2) = -2y + .....)

6. Fill in the blank: ( -3(x - 4) = -3x + .....)

7. Fill in the blank: ( -3(x + 4) = -3x - .....)

8. Simplify the expression: ( -5(6 - x) ).

9. Simplify the expression: ( (-3a) times 2b ).

10. Simplify the expression: ( 2y(3x + 5) ).

11. Simplify the expression: ( a times (-2b) ).

12. A taxi service charges Rs. 100 as an initial fee and Rs. 50 for each kilometer traveled. Write an algebraic expression for the total amount that has to be paid for a journey of ( x ) kilometers.

13. Simplify the expression: ( 3(3x + y) ).

14. Simplify the expression: ( x times 5y ).

15. Express the area of a rectangle with length ( a + 4 ) and breadth ( x ) by an algebraic expression and simplify it.

16. Simplify the expression: ( 3(x - 2) - (x + 2) ).

17. Simplify the expression: ( 2a times 3b ).

18. Fill in the blank: ( 5(6 + a) = 30 + .....)

19. Expand and simplify ( 10(a + 2b) + 3(a - 5b) ) when ( a = 7 ) and ( b = 1 ).

20. Fill in the blank: ( 2(x + 7) = 2x + .....)

21. Express the area of a rectangle with length ( 3x ) and breadth ( 2n - 3 ) by an algebraic expression and simplify it.

22. Simplify the expression: ( 4x + 3x ).

23. The length of a table is 2 meters more than its breadth. Write an algebraic expression for the length of the table by taking its breadth as ( b ) meters.

24. Find the value of ( 6(2a - b) - c ) when ( a = 4 ), ( b = 5 ), and ( c = 8 ).

25. Simplify the expression: ( 6t + 5 + 2t + y + 3 ).

26. Simplify the expression: ( 6x + 10 - 4x + 7 ).

27. Find the value of ( -p + 2q - 3r + 7 ) when ( p = 5 ), ( q = -2 ), and ( r = -3 ).

28. Expand and simplify ( 3(2a + 7b) + 3(b + 3c) - 10 ) when ( a = 1 ), ( b = 2 ), and ( c = -3 ).

29. Fill in the blank: ( 6(x - y) = ...... - 6y )

30. A bus depot uses ( x ) buses on route 1, ( y ) buses on route 2, ( z ) buses on the highway, and 12 buses for school services each day. What is the total number of buses scheduled to run in a day?

31. Expand and simplify ( 4(x - 5y) - 3(7 - x) + 8l ) when ( x = 8 ), ( y = -1 ), and ( l = -2 ).

32. Simplify the expression: ( 2(a + b) ).

33. Simplify the expression: ( (-y)(3x + 5) ).

34. Simplify the expression: ( 5x - 3y - 4x - 2y ).

35. Simplify the expression: ( (10a - 8b + c) - 2(4a + b) ).

36. Expand and simplify ( 4(m + 3n) + m + 5n ) when ( m = 9 ) and ( n = -2 ).

37. Simplify the expression: ( 8(8y - 7x + q) ).

38. The daily income of a shop is ( x ). After giving Rs. 500 to his mother, how much does Nimal have left?

39. Simplify the expression: ( (7a - 4b + 2bc) + 2b(4a - 2c + 5) ).

40. Find the value of ( y + 3z + 7 ) when ( x = -3 ), ( y = -1 ), and ( z = 0 ).

41. Find the value of ( 2x - y - 2z ) when ( x = 4 ), ( y = 3 ), and ( z = 2 ).

42. Simplify the expression: ( 2y times (-2y) ).

43. Simplify the expression: ( a times 2b ).

44. Simplify the expression: ( 4(x - 6) - 6(2 + x) ).

45. Fill in the blank: ( 8(4 - y) = 32 - .....)

46. Simplify the expression: ( (-2y)(3x + 5) ).

47. Simplify the expression: ( 4(x + 2) - 2(x + 2) ).

48. Simplify the expression: ( -4(2x + 3y - 2z) ).

49. Simplify the expression: ( 2(8a - 5b) + 3(5a - 12) ).

50. Simplify the expression: ( 8a - 5a - a ).

51. Simplify the expression: ( y(3x + 5) ).

52. Fill in the blank: ( -2(y + 2) = -2y - .....)

53. Construct an algebraic expression for the total price of 10 books at Rs. ( x ) each, 3 pens at Rs. ( y ) each, and 5 pencils at Rs. ( z ) each.

54. Simplify the expression: ( a + 2 + 2a + 3 ).

55. Find the value of ( x - 4y + 4z ) when ( x = -3 ), ( y = -1 ), and ( z = 0 ).

56. A teacher bought three gift parcels for three students who came first in the third term test. Each parcel contained 5 books and 2 pens. Write an algebraic expression for the price of one such parcel by taking the price of a book as Rs. ( a ) and the price of a pen as Rs. ( b ).

57. Simplify the expression: ( (2x - y + 8) + 2(3y - 10) ).

58. A pencil, a pen, and an eraser are bought for Rs. ( a ), Rs. ( b ), and Rs. 4 respectively. Write an algebraic expression for the total amount of money needed to buy these three items.

59. Simplify the expression: ( 2p + 3q + 4r + p - 2q - 3r ).

60. Simplify the expression: ( -2(a + 6) ).

61. Simplify the expression: ( 8k times 5y ).

62. Simplify the expression: ( 3(a + 5b) + a(a + 4) ).

63. The price of 1 kg of rice is Rs. ( x ) and the price of 1 kg of wheat flour is Rs. ( y ). Write an algebraic expression for the total amount of money required to buy 1 kg of each type.

64. Simplify the expression: ( p + 4p - 2p ).

65. Expand and simplify ( 7(2p - q) - 10p + 3q - 8 ) when ( p = 2 ) and ( q = 3 ).

66. If 350 rambutans are sold at Rs. ( x ) each, what is the total income?

67. Simplify the expression: ( a + a + a ).

68. Simplify the expression: ( (4x + 3) - (2x - 3) ).

69. Find the value of ( x + y ) when ( x = -3 ), ( y = -1 ), and ( z = 0 ).

70. Simplify the expression: ( 4m - 3n - 4m - n + 8 ).

71. Simplify the expression: ( 3a + 4b + a - 3a + 5 ).

72. Simplify the expression: ( 5(x - y) ).