Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 455 · 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.Find the value of 6a + 2b when a = 10 and b = 2.
2. 2.Arjun has m shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) m − 7 (b) m + 7 (c) m ÷ 7 (d) 7m
3. 3.Find the value of 2t − 5 when t = 3.
4. 4.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
6. 6.Find the value of 2a + 2b when a = 8 and b = 2.
7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
8. 8.Solve: t ÷ 6 = 1. What is t?
9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
10. 10.Solve: 2m = 22. What is m?
11. 11.Find the value of 7t − 2 when t = 5.
12. 12.Arjun shares k mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) k − 3 (b) k + 3 (c) 3k (d) k ÷ 3
13. 13.Solve: 5n = 80. What is n?
14. 14.Karan has n crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) n + 6 (b) n ÷ 6 (c) 6n (d) n − 6
15. 15.Find the value of 5a + 6b when a = 8 and b = 6.
16. 16.Solve: x − 12 = 13. What is x?
17. 17.Find the value of 4a + 3b when a = 3 and b = 7.
18. 18.Find the value of 6t + 17 when t = 6.
19. 19.Find the value of 6m + 18 when m = 9.
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
21. 21.Find the value of 6a + 8b when a = 4 and b = 2.
22. 22.Solve: x + 7 = 9. What is x?
23. 23.Find the value of 8n − 10 when n = 5.
24. 24.Diya shares m balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) m + 2 (b) 2m (c) m − 2 (d) m ÷ 2
25. 25.Solve: t − 9 = 3. What is t?
26. 26.Solve: t ÷ 8 = 9. What is t?
27. 27.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
28. 28.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
29. 29.Lakshmi shares m marbles equally among 6 friends. Which expression shows how many marbles each friend gets? (a) m + 6 (b) m ÷ 6 (c) 6m (d) m − 6
30. 30.Find the value of 4a + 7b when a = 2 and b = 5.
31. 31.Find the value of 9x + 13 when x = 2.
32. 32.Solve: y + 9 = 22. What is y?
33. 33.Solve: x ÷ 4 = 20. What is x?
34. 34.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
39. 39.Find the value of 7t − 36 when t = 12.
40. 40.Find the value of 8a + 3b when a = 10 and b = 1.

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