Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 488 · 40 sums

The method (Keep the balance): 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5. Value of an expression: put the number in place of the letter, then work it out — 3x + 5 when x = 4 is 12 + 5 = 17. Solve x + a = b by taking a from both sides; x − a = b by adding a; ax = b by dividing by a; x ÷ a = b by multiplying by a. Check by putting your answer back into the equation.

1. 1.Solve: y − 11 = 2. What is y?
2. 2.Find the value of 7a + 8b when a = 3 and b = 2.
3. 3.Solve: 6t = 84. What is t?
4. 4.Aditya has n mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) n ÷ 6 (b) 6n (c) n − 6 (d) n + 6
5. 5.Solve: y ÷ 5 = 19. What is y?
6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
8. 8.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
9. 9.Find the value of 4x − 14 when x = 4.
10. 10.Find the value of 8a + 9b when a = 1 and b = 4.
11. 11.Find the value of 2p − 7 when p = 6.
12. 12.Meera shares n shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) n ÷ 7 (b) 7n (c) n + 7 (d) n − 7
13. 13.Joseph has n balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) 5n (b) n − 5 (c) n + 5 (d) n ÷ 5
14. 14.Saanvi shares k flowers equally among 5 friends. Which expression shows how many flowers each friend gets? (a) k + 5 (b) 5k (c) k − 5 (d) k ÷ 5
15. 15.Find the value of 4a + 2b when a = 4 and b = 2.
16. 16.Solve: n + 4 = 13. What is n?
17. 17.Solve: x + 5 = 23. What is x?
18. 18.Find the value of 8a + 9b when a = 5 and b = 5.
19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
20. 20.Solve: y + 8 = 21. What is y?
21. 21.Find the value of 9a + 4b when a = 7 and b = 4.
22. 22.Solve: 8p = 64. What is p?
23. 23.Pooja has n kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) n + 5 (b) n − 5 (c) n ÷ 5 (d) 5n
24. 24.Zoya shares p balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) 4p (b) p ÷ 4 (c) p − 4 (d) p + 4
25. 25.Solve: x − 7 = 15. What is x?
26. 26.Find the value of 8p − 11 when p = 7.
27. 27.Find the value of 2m − 4 when m = 3.
28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
29. 29.Find the value of 2a + 9b when a = 8 and b = 1.
30. 30.Karan shares n kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) n ÷ 3 (b) 3n (c) n + 3 (d) n − 3
31. 31.Karan has p crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) p ÷ 6 (b) 6p (c) p − 6 (d) p + 6
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
33. 33.Solve: t ÷ 8 = 5. What is t?
34. 34.Find the value of 3a + 4b when a = 1 and b = 3.
35. 35.Find the value of 9a + 8b when a = 5 and b = 5.
36. 36.Find the value of 7m + 9 when m = 8.
37. 37.Solve: n + 5 = 10. What is n?
38. 38.Find the value of 7a + 6b when a = 2 and b = 7.
39. 39.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
40. 40.Solve: 8p = 80. What is p?

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