Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 495 · 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.Riya shares m marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) 2m (b) m − 2 (c) m + 2 (d) m ÷ 2
2. 2.Find the value of 9a + 4b when a = 1 and b = 3.
3. 3.Solve: t − 5 = 1. What is t?
4. 4.Find the value of 6t + 12 when t = 8.
5. 5.Kavya has n shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) n + 3 (b) 3n (c) n ÷ 3 (d) n − 3
6. 6.Meera shares k mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) 3k (b) k − 3 (c) k + 3 (d) k ÷ 3
7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
8. 8.Find the value of 2a + 3b when a = 7 and b = 9.
9. 9.Solve: p − 6 = 15. What is p?
10. 10.Find the value of 3a + 2b when a = 1 and b = 2.
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
12. 12.Find the value of 4y + 19 when y = 10.
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
14. 14.Solve: n + 8 = 12. What is n?
15. 15.Solve: t ÷ 10 = 16. What is t?
16. 16.Joseph has m kites. A friend has 5 times as many. Which expression shows how many kites the friend has? (a) m ÷ 5 (b) m − 5 (c) m + 5 (d) 5m
17. 17.Find the value of 5m − 1 when m = 4.
18. 18.Find the value of 2t + 12 when t = 1.
19. 19.Find the value of 4a + 4b when a = 3 and b = 1.
20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
21. 21.Arjun has n books. A friend has 4 fewer. Which expression shows how many books the friend has? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
22. 22.Find the value of 8n − 7 when n = 9.
23. 23.Find the value of 6x − 1 when x = 1.
24. 24.Find the value of 6n − 3 when n = 7.
25. 25.Find the value of 2a + 6b when a = 5 and b = 8.
26. 26.Find the value of 4a + 9b when a = 2 and b = 9.
27. 27.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
28. 28.Find the value of 7a + 4b when a = 10 and b = 3.
29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
30. 30.Find the value of 3t − 2 when t = 6.
31. 31.Find the value of 2a + 9b when a = 6 and b = 10.
32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
33. 33.Find the value of 8a + 4b when a = 7 and b = 3.
34. 34.Solve: x − 10 = 3. What is x?
35. 35.Find the value of 5a + 2b when a = 5 and b = 1.
36. 36.Find the value of 4y + 9 when y = 1.
37. 37.Find the value of 8p + 10 when p = 3.
38. 38.Find the value of 9a + 4b when a = 6 and b = 3.
39. 39.Solve: 3x = 45. What is x?
40. 40.Arjun has n balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) n − 8 (b) n ÷ 8 (c) 8n (d) n + 8

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