Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 91 · 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 3n + 6 when n = 4.
2. 2.Saanvi has n laddoos. A friend has 6 times as many. Which expression shows how many laddoos the friend has? (a) n + 6 (b) n − 6 (c) n ÷ 6 (d) 6n
3. 3.Find the value of 3n + 7 when n = 6.
4. 4.Find the value of 7n + 5 when n = 3.
5. 5.Solve: 3m = 24. What is m?
6. 6.Aditya has n laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) n + 3 (b) n − 3 (c) 3n (d) n ÷ 3
7. 7.Solve: m − 5 = 11. What is m?
8. 8.Solve: y + 5 = 10. What is y?
9. 9.Solve: 10m = 110. What is m?
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
11. 11.Find the value of 5a + 6b when a = 4 and b = 4.
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
14. 14.Find the value of 4p − 4 when p = 8.
15. 15.Find the value of 7a + 7b when a = 4 and b = 10.
16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
17. 17.Solve: y + 2 = 3. What is y?
18. 18.Solve: m + 6 = 11. What is m?
19. 19.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
20. 20.Find the value of 8n + 4 when n = 1.
21. 21.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
22. 22.Find the value of 4m − 15 when m = 12.
23. 23.Find the value of 2a + 3b when a = 6 and b = 10.
24. 24.Find the value of 2y − 1 when y = 2.
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
26. 26.Solve: 2x = 20. What is x?
27. 27.Tara shares k books equally among 2 friends. Which expression shows how many books each friend gets? (a) k ÷ 2 (b) 2k (c) k − 2 (d) k + 2
28. 28.Riya has k kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) 3k (b) k + 3 (c) k − 3 (d) k ÷ 3
29. 29.Find the value of 7a + 9b when a = 6 and b = 4.
30. 30.Solve: m − 2 = 16. What is m?
31. 31.Find the value of 8m − 46 when m = 12.
32. 32.Find the value of 6x − 5 when x = 1.
33. 33.Sneha shares n flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) n + 3 (b) 3n (c) n ÷ 3 (d) n − 3
34. 34.Find the value of 8t − 9 when t = 9.
35. 35.Find the value of 6a + 2b when a = 1 and b = 6.
36. 36.Tara shares n mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
37. 37.Find the value of 2a + 3b when a = 4 and b = 2.
38. 38.Find the value of 9a + 5b when a = 8 and b = 7.
39. 39.Solve: n + 8 = 23. What is n?
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets