Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 43 · 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 + 13 when m = 12.
2. 2.Manav shares p balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) p ÷ 4 (b) 4p (c) p + 4 (d) p − 4
3. 3.Solve: x ÷ 11 = 13. What is x?
4. 4.Find the value of 3p − 12 when p = 6.
5. 5.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
8. 8.Find the value of 2m + 7 when m = 4.
9. 9.Find the value of 3a + 7b when a = 6 and b = 2.
10. 10.Solve: 6y = 66. What is y?
11. 11.Solve: 2m = 6. What is m?
12. 12.Meera has n shells. A friend has 6 fewer. Which expression shows how many shells the friend has? (a) n − 6 (b) n ÷ 6 (c) 6n (d) n + 6
13. 13.Solve: y − 4 = 8. What is y?
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
15. 15.Find the value of 2n − 1 when n = 8.
16. 16.Manav has n mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
17. 17.Find the value of 8x − 33 when x = 9.
18. 18.Find the value of 6a + 2b when a = 3 and b = 2.
19. 19.Solve: 4m = 76. What is m?
20. 20.Kavya has p mangoes. A friend has 7 more. Which expression shows how many mangoes the friend has? (a) p ÷ 7 (b) p + 7 (c) 7p (d) p − 7
21. 21.Find the value of 8n + 15 when n = 4.
22. 22.Find the value of 9a + 8b when a = 4 and b = 1.
23. 23.Manav has k mangoes. A friend has 9 more. Which expression shows how many mangoes the friend has? (a) k + 9 (b) k ÷ 9 (c) k − 9 (d) 9k
24. 24.Find the value of 5n − 14 when n = 12.
25. 25.Solve: 3n = 42. What is n?
26. 26.Solve: 5m = 80. What is m?
27. 27.Solve: 5t = 85. What is t?
28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
29. 29.Find the value of 4a + 3b when a = 8 and b = 1.
30. 30.Solve: y − 7 = 16. What is y?
31. 31.Find the value of 8m + 7 when m = 10.
32. 32.Solve: 2t = 10. What is t?
33. 33.Solve: x + 5 = 22. What is x?
34. 34.Find the value of 2a + 6b when a = 8 and b = 8.
35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
37. 37.Zoya shares n balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
40. 40.Solve: y − 6 = 14. What is y?

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