Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 113 · 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 3a + 9b when a = 9 and b = 7.
2. 2.Dev shares n pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) n ÷ 3 (b) n − 3 (c) n + 3 (d) 3n
3. 3.Find the value of 6n − 23 when n = 5.
4. 4.Find the value of 2a + 2b when a = 7 and b = 1.
5. 5.Meera has n kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) n − 9 (b) n ÷ 9 (c) 9n (d) n + 9
6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
7. 7.Find the value of 2p − 4 when p = 12.
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
9. 9.Lakshmi has p bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) 8p (b) p ÷ 8 (c) p − 8 (d) p + 8
10. 10.Find the value of 8x + 13 when x = 4.
11. 11.Find the value of 7x − 58 when x = 11.
12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
13. 13.Find the value of 4y − 1 when y = 1.
14. 14.Find the value of 2p + 3 when p = 3.
15. 15.Find the value of 6a + 7b when a = 1 and b = 6.
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
18. 18.Diya has p balloons. A friend has 5 more. Which expression shows how many balloons the friend has? (a) p − 5 (b) 5p (c) p + 5 (d) p ÷ 5
19. 19.Find the value of 7m − 2 when m = 6.
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
22. 22.Find the value of 2t + 18 when t = 6.
23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
24. 24.Solve: 8y = 160. What is y?
25. 25.Kabir has n balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) n ÷ 3 (b) n + 3 (c) 3n (d) n − 3
26. 26.Solve: x ÷ 4 = 3. What is x?
27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
28. 28.Solve: n ÷ 6 = 20. What is n?
29. 29.Find the value of 3m − 5 when m = 2.
30. 30.Find the value of 7a + 5b when a = 3 and b = 4.
31. 31.Solve: m + 11 = 15. What is m?
32. 32.Find the value of 9a + 3b when a = 9 and b = 9.
33. 33.Solve: 12y = 120. What is y?
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
35. 35.Priya shares n crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) n + 9 (b) 9n (c) n ÷ 9 (d) n − 9
36. 36.Find the value of 8a + 7b when a = 8 and b = 8.
37. 37.Find the value of 7y − 1 when y = 4.
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
39. 39.Find the value of 6x + 2 when x = 6.
40. 40.Find the value of 3x − 2 when x = 4.

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