Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 28 · 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 ÷ 2 = 8. What is n?
2. 2.Kavya shares p pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) p + 6 (b) p ÷ 6 (c) p − 6 (d) 6p
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
5. 5.Find the value of 8p + 18 when p = 7.
6. 6.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
8. 8.Find the value of 6y + 5 when y = 2.
9. 9.Solve: 4p = 68. What is p?
10. 10.Find the value of 9m − 60 when m = 10.
11. 11.Zoya has n pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
12. 12.Dev has m pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) m − 9 (b) 9m (c) m ÷ 9 (d) m + 9
13. 13.Solve: 11p = 55. What is p?
14. 14.Arjun shares n marbles equally among 5 friends. Which expression shows how many marbles each friend gets? (a) n − 5 (b) n + 5 (c) n ÷ 5 (d) 5n
15. 15.Solve: x − 2 = 12. What is x?
16. 16.Lakshmi has n balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) n ÷ 6 (b) n + 6 (c) 6n (d) n − 6
17. 17.Find the value of 9a + 9b when a = 6 and b = 2.
18. 18.Find the value of 5a + 6b when a = 9 and b = 7.
19. 19.Solve: y ÷ 2 = 6. What is y?
20. 20.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
22. 22.Solve: 5m = 15. What is m?
23. 23.Sneha shares m mangoes equally among 2 friends. Which expression shows how many mangoes each friend gets? (a) m ÷ 2 (b) 2m (c) m + 2 (d) m − 2
24. 24.Vivaan has m marbles. A friend has 9 fewer. Which expression shows how many marbles the friend has? (a) m ÷ 9 (b) m − 9 (c) m + 9 (d) 9m
25. 25.Find the value of 3a + 4b when a = 6 and b = 7.
26. 26.Find the value of 7y − 11 when y = 7.
27. 27.Solve: 9n = 36. What is n?
28. 28.Solve: p + 4 = 8. What is p?
29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
30. 30.Find the value of 7x − 14 when x = 5.
31. 31.Nisha has n balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
32. 32.Find the value of 7a + 3b when a = 2 and b = 2.
33. 33.Solve: n ÷ 12 = 11. What is n?
34. 34.Find the value of 3y + 20 when y = 6.
35. 35.Solve: t − 7 = 7. What is t?
36. 36.Find the value of 3n − 4 when n = 2.
37. 37.Find the value of 6a + 6b when a = 5 and b = 6.
38. 38.Find the value of 8x + 15 when x = 10.
39. 39.Find the value of 7a + 9b when a = 7 and b = 2.
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?

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