Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 427 · 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.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
2. 2.Find the value of 7a + 3b when a = 6 and b = 6.
3. 3.Find the value of 7n − 1 when n = 1.
4. 4.Riya has n kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
5. 5.Find the value of 2a + 2b when a = 2 and b = 8.
6. 6.Solve: 3n = 57. What is n?
7. 7.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
8. 8.Find the value of 6a + 7b when a = 6 and b = 1.
9. 9.Solve: x − 11 = 2. What is x?
10. 10.Find the value of 5x + 10 when x = 8.
11. 11.Joseph has k flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) k ÷ 4 (b) 4k (c) k − 4 (d) k + 4
12. 12.Find the value of 2t + 18 when t = 9.
13. 13.Find the value of 9m − 92 when m = 11.
14. 14.Rahul shares k balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) k + 3 (b) k ÷ 3 (c) k − 3 (d) 3k
15. 15.Find the value of 3a + 5b when a = 8 and b = 6.
16. 16.Solve: n + 6 = 26. What is n?
17. 17.Solve: t − 8 = 8. What is t?
18. 18.Find the value of 6a + 6b when a = 1 and b = 6.
19. 19.Find the value of 3a + 9b when a = 5 and b = 7.
20. 20.Solve: y − 4 = 14. What is y?
21. 21.Farhan has k books. A friend has 4 fewer. Which expression shows how many books the friend has? (a) 4k (b) k + 4 (c) k − 4 (d) k ÷ 4
22. 22.Find the value of 9a + 8b when a = 7 and b = 5.
23. 23.Find the value of 7y + 8 when y = 8.
24. 24.Find the value of 6a + 3b when a = 2 and b = 7.
25. 25.Solve: x − 9 = 6. What is x?
26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
27. 27.Find the value of 7a + 5b when a = 7 and b = 8.
28. 28.Find the value of 3a + 7b when a = 9 and b = 3.
29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
30. 30.Solve: m − 8 = 13. What is m?
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
35. 35.Find the value of 7t + 18 when t = 3.
36. 36.Nisha shares p books equally among 2 friends. Which expression shows how many books each friend gets? (a) 2p (b) p − 2 (c) p ÷ 2 (d) p + 2
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
38. 38.Diya has m pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) m + 5 (b) 5m (c) m ÷ 5 (d) m − 5
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?

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