Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 259 · 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: n − 8 = 5. What is n?
2. 2.Find the value of 4a + 4b when a = 7 and b = 6.
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
4. 4.Find the value of 9t − 19 when t = 4.
5. 5.Solve: 5m = 75. What is m?
6. 6.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
7. 7.Find the value of 6m − 20 when m = 11.
8. 8.Solve: 11t = 66. What is t?
9. 9.Solve: y + 2 = 10. What is y?
10. 10.Find the value of 2x + 18 when x = 9.
11. 11.Find the value of 5x + 17 when x = 8.
12. 12.Find the value of 5a + 6b when a = 9 and b = 8.
13. 13.Find the value of 9a + 8b when a = 6 and b = 4.
14. 14.Find the value of 5m + 10 when m = 5.
15. 15.Find the value of 7a + 7b when a = 6 and b = 7.
16. 16.Find the value of 4a + 4b when a = 10 and b = 2.
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
18. 18.Sneha has m flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) m − 9 (b) m ÷ 9 (c) 9m (d) m + 9
19. 19.Solve: y − 12 = 3. What is y?
20. 20.Kavya has m balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) m + 3 (b) m − 3 (c) m ÷ 3 (d) 3m
21. 21.Gurpreet has p mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) p − 2 (b) p ÷ 2 (c) p + 2 (d) 2p
22. 22.Solve: x ÷ 6 = 6. What is x?
23. 23.Solve: m + 11 = 18. What is m?
24. 24.Find the value of 9a + 2b when a = 7 and b = 3.
25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
26. 26.Solve: 10y = 200. What is y?
27. 27.Solve: 12y = 168. What is y?
28. 28.Tara has n shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) n − 4 (b) 4n (c) n ÷ 4 (d) n + 4
29. 29.Find the value of 4a + 9b when a = 3 and b = 3.
30. 30.Find the value of 6m − 6 when m = 6.
31. 31.Find the value of 6a + 6b when a = 4 and b = 3.
32. 32.Lakshmi has n flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) n ÷ 9 (b) n + 9 (c) 9n (d) n − 9
33. 33.Find the value of 9n + 12 when n = 10.
34. 34.Farhan shares n books equally among 5 friends. Which expression shows how many books each friend gets? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
35. 35.Find the value of 3t − 7 when t = 10.
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
37. 37.Solve: 5p = 25. What is p?
38. 38.Find the value of 6n − 10 when n = 2.
39. 39.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
40. 40.Kabir has m balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) m − 6 (b) 6m (c) m + 6 (d) m ÷ 6

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