Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 106 · 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: m ÷ 5 = 9. What is m?
2. 2.Sneha shares k shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) k ÷ 4 (b) 4k (c) k − 4 (d) k + 4
3. 3.Find the value of 2m − 2 when m = 12.
4. 4.Kabir has k shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) 9k (b) k + 9 (c) k − 9 (d) k ÷ 9
5. 5.Solve: y + 3 = 8. What is y?
6. 6.Solve: x + 7 = 12. What is x?
7. 7.Solve: 10m = 200. What is m?
8. 8.Find the value of 4a + 8b when a = 6 and b = 7.
9. 9.Solve: y ÷ 6 = 7. What is y?
10. 10.Find the value of 7a + 7b when a = 2 and b = 10.
11. 11.Find the value of 3n − 7 when n = 5.
12. 12.Find the value of 8a + 2b when a = 5 and b = 7.
13. 13.Zoya shares n shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) n − 5 (b) 5n (c) n + 5 (d) n ÷ 5
14. 14.Find the value of 8a + 3b when a = 5 and b = 5.
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
16. 16.Ananya shares k marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) 3k (b) k + 3 (c) k ÷ 3 (d) k − 3
17. 17.Solve: p ÷ 7 = 6. What is p?
18. 18.Find the value of 5t − 11 when t = 9.
19. 19.Solve: n + 3 = 18. What is n?
20. 20.Find the value of 2x + 12 when x = 5.
21. 21.Rahul has m laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) m ÷ 3 (b) m + 3 (c) 3m (d) m − 3
22. 22.Find the value of 7p − 12 when p = 3.
23. 23.Find the value of 5n + 18 when n = 4.
24. 24.Find the value of 7m − 9 when m = 6.
25. 25.Find the value of 8a + 4b when a = 2 and b = 1.
26. 26.Solve: 6x = 54. What is x?
27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
28. 28.Find the value of 3a + 4b when a = 3 and b = 4.
29. 29.Solve: 2y = 4. What is y?
30. 30.Rohan has n flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) n ÷ 4 (b) n + 4 (c) 4n (d) n − 4
31. 31.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
32. 32.Riya has k books. A friend has 9 more. Which expression shows how many books the friend has? (a) k − 9 (b) 9k (c) k + 9 (d) k ÷ 9
33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
34. 34.Nisha has n marbles. A friend has 5 more. Which expression shows how many marbles the friend has? (a) n − 5 (b) 5n (c) n ÷ 5 (d) n + 5
35. 35.Vivaan has k laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) k − 8 (b) k + 8 (c) k ÷ 8 (d) 8k
36. 36.Solve: n ÷ 2 = 12. What is n?
37. 37.Find the value of 8a + 7b when a = 6 and b = 10.
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
39. 39.Find the value of 6a + 9b when a = 5 and b = 5.
40. 40.Find the value of 5y − 2 when y = 3.

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