Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 523 · 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 2n − 15 when n = 12.
2. 2.Solve: m − 5 = 4. What is m?
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
4. 4.Find the value of 6n + 12 when n = 1.
5. 5.Find the value of 3x − 1 when x = 3.
6. 6.Find the value of 3t − 6 when t = 3.
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
8. 8.Find the value of 2a + 2b when a = 8 and b = 6.
9. 9.Solve: t − 2 = 9. What is t?
10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
11. 11.Find the value of 9p + 3 when p = 1.
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
13. 13.Ishaan has n crayons. A friend has 5 more. Which expression shows how many crayons the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
14. 14.Solve: t + 3 = 7. What is t?
15. 15.Find the value of 3t − 10 when t = 8.
16. 16.Find the value of 5x − 3 when x = 3.
17. 17.Find the value of 2a + 7b when a = 6 and b = 7.
18. 18.Solve: p ÷ 12 = 12. What is p?
19. 19.Find the value of 2a + 4b when a = 10 and b = 2.
20. 20.Solve: t − 4 = 10. What is t?
21. 21.Solve: n + 8 = 19. What is n?
22. 22.Find the value of 5m + 4 when m = 2.
23. 23.Pooja has n laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) 5n (b) n ÷ 5 (c) n − 5 (d) n + 5
24. 24.Find the value of 3m − 28 when m = 10.
25. 25.Find the value of 7y + 19 when y = 11.
26. 26.Find the value of 2a + 5b when a = 1 and b = 5.
27. 27.Joseph has n shells. A friend has 3 more. Which expression shows how many shells the friend has? (a) n ÷ 3 (b) n + 3 (c) n − 3 (d) 3n
28. 28.Riya has m flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) m ÷ 4 (b) m + 4 (c) 4m (d) m − 4
29. 29.Find the value of 3a + 8b when a = 5 and b = 9.
30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
31. 31.Aarav shares n books equally among 2 friends. Which expression shows how many books each friend gets? (a) n ÷ 2 (b) n + 2 (c) n − 2 (d) 2n
32. 32.Solve: 3x = 12. What is x?
33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
34. 34.Find the value of 4a + 3b when a = 2 and b = 9.
35. 35.Find the value of 5a + 7b when a = 4 and b = 2.
36. 36.Lakshmi has k mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) k + 5 (b) k ÷ 5 (c) k − 5 (d) 5k
37. 37.Sneha has n kites. A friend has 4 fewer. Which expression shows how many kites the friend has? (a) n + 4 (b) 4n (c) n − 4 (d) n ÷ 4
38. 38.Solve: x ÷ 8 = 4. What is x?
39. 39.Find the value of 2a + 9b when a = 4 and b = 6.
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?

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