Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 256 · 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: t + 8 = 23. What is t?
2. 2.Kabir has n mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) 6n (b) n ÷ 6 (c) n + 6 (d) n − 6
3. 3.Solve: m ÷ 11 = 7. What is m?
4. 4.Find the value of 3m − 18 when m = 9.
5. 5.Aditya has n bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) 6n (b) n − 6 (c) n + 6 (d) n ÷ 6
6. 6.Farhan has m balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) m ÷ 3 (b) 3m (c) m − 3 (d) m + 3
7. 7.Diya has m books. A friend has 7 fewer. Which expression shows how many books the friend has? (a) m + 7 (b) m ÷ 7 (c) m − 7 (d) 7m
8. 8.Find the value of 4a + 2b when a = 4 and b = 4.
9. 9.Find the value of 5n − 4 when n = 3.
10. 10.Kavya has k kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) k + 5 (b) 5k (c) k ÷ 5 (d) k − 5
11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
12. 12.Find the value of 2n + 13 when n = 11.
13. 13.Lakshmi shares p books equally among 2 friends. Which expression shows how many books each friend gets? (a) 2p (b) p ÷ 2 (c) p − 2 (d) p + 2
14. 14.Find the value of 3a + 2b when a = 8 and b = 1.
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
16. 16.Solve: n ÷ 5 = 20. What is n?
17. 17.Find the value of 2a + 7b when a = 1 and b = 3.
18. 18.Solve: 2p = 28. What is p?
19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
20. 20.Find the value of 5n + 10 when n = 3.
21. 21.Find the value of 4a + 5b when a = 2 and b = 8.
22. 22.Find the value of 9a + 8b when a = 9 and b = 8.
23. 23.Find the value of 6n + 3 when n = 5.
24. 24.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
25. 25.Pooja has n mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) n − 4 (b) 4n (c) n ÷ 4 (d) n + 4
26. 26.Find the value of 2a + 5b when a = 6 and b = 3.
27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
28. 28.Find the value of 4a + 7b when a = 2 and b = 8.
29. 29.Solve: n + 11 = 31. What is n?
30. 30.Find the value of 2a + 4b when a = 3 and b = 9.
31. 31.Kavya shares p balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) p + 3 (b) p ÷ 3 (c) 3p (d) p − 3
32. 32.Find the value of 4t − 41 when t = 12.
33. 33.Find the value of 5a + 4b when a = 4 and b = 2.
34. 34.Find the value of 6a + 3b when a = 5 and b = 7.
35. 35.Zoya shares n flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) n − 8 (b) n + 8 (c) 8n (d) n ÷ 8
36. 36.Find the value of 4n − 5 when n = 10.
37. 37.Find the value of 8p − 8 when p = 3.
38. 38.Solve: y − 5 = 8. What is y?
39. 39.Find the value of 2x − 19 when x = 11.
40. 40.Solve: x ÷ 5 = 8. What is x?

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