Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 559 · 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 3m − 9 when m = 7.
2. 2.Find the value of 9m + 14 when m = 8.
3. 3.Rohan shares k kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) 7k (b) k ÷ 7 (c) k − 7 (d) k + 7
4. 4.Find the value of 9m + 19 when m = 1.
5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
6. 6.Find the value of 2a + 4b when a = 2 and b = 9.
7. 7.Sneha has n balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) n ÷ 9 (b) 9n (c) n − 9 (d) n + 9
8. 8.Find the value of 5a + 6b when a = 7 and b = 8.
9. 9.Find the value of 6a + 8b when a = 2 and b = 4.
10. 10.Find the value of 4a + 3b when a = 6 and b = 10.
11. 11.Find the value of 3a + 9b when a = 7 and b = 2.
12. 12.Find the value of 5x + 20 when x = 1.
13. 13.Find the value of 2t − 9 when t = 7.
14. 14.Farhan 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
15. 15.Find the value of 3y − 8 when y = 4.
16. 16.Solve: 6n = 78. What is n?
17. 17.Find the value of 6a + 6b when a = 8 and b = 4.
18. 18.Find the value of 4n − 23 when n = 12.
19. 19.Find the value of 6a + 3b when a = 3 and b = 7.
20. 20.Find the value of 3x − 12 when x = 6.
21. 21.Find the value of 7x + 18 when x = 2.
22. 22.Solve: y − 12 = 12. What is y?
23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
25. 25.Solve: m + 2 = 5. What is m?
26. 26.Solve: m + 3 = 4. What is m?
27. 27.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
28. 28.Find the value of 3p + 6 when p = 2.
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
30. 30.Find the value of 6a + 4b when a = 7 and b = 3.
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
32. 32.Aarav shares m pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) m ÷ 9 (b) 9m (c) m + 9 (d) m − 9
33. 33.Dev has m books. A friend has 8 more. Which expression shows how many books the friend has? (a) m + 8 (b) 8m (c) m − 8 (d) m ÷ 8
34. 34.Find the value of 7n − 7 when n = 7.
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
36. 36.Find the value of 5t − 18 when t = 8.
37. 37.Find the value of 5a + 2b when a = 1 and b = 10.
38. 38.Solve: x + 12 = 14. What is x?
39. 39.Diya has p marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) p − 3 (b) 3p (c) p ÷ 3 (d) p + 3
40. 40.Solve: y + 6 = 10. What is y?

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