Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 454 · 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 2m − 3 when m = 6.
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
3. 3.Find the value of 8a + 6b when a = 8 and b = 2.
4. 4.Find the value of 4p + 9 when p = 11.
5. 5.Find the value of 2a + 7b when a = 2 and b = 6.
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
7. 7.Solve: 8n = 40. What is n?
8. 8.Lakshmi shares n balloons equally among 9 friends. Which expression shows how many balloons each friend gets? (a) 9n (b) n ÷ 9 (c) n + 9 (d) n − 9
9. 9.Solve: m ÷ 5 = 14. What is m?
10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
11. 11.Find the value of 5n − 13 when n = 3.
12. 12.Find the value of 4a + 8b when a = 10 and b = 3.
13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
14. 14.Solve: 7p = 105. What is p?
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
16. 16.Find the value of 2a + 2b when a = 5 and b = 4.
17. 17.Find the value of 2a + 6b when a = 3 and b = 2.
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
19. 19.Find the value of 4m + 7 when m = 4.
20. 20.Find the value of 4m − 7 when m = 6.
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
22. 22.Solve: x ÷ 8 = 17. What is x?
23. 23.Nisha has k balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) k + 2 (b) k − 2 (c) k ÷ 2 (d) 2k
24. 24.Solve: 2x = 6. What is x?
25. 25.Solve: 6p = 42. What is p?
26. 26.Find the value of 2t + 11 when t = 3.
27. 27.Solve: p − 5 = 12. What is p?
28. 28.Find the value of 3a + 9b when a = 8 and b = 10.
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
30. 30.Find the value of 4a + 6b when a = 7 and b = 3.
31. 31.Solve: x − 3 = 14. What is x?
32. 32.Solve: y ÷ 12 = 11. What is y?
33. 33.Dev shares p bananas equally among 6 friends. Which expression shows how many bananas each friend gets? (a) 6p (b) p ÷ 6 (c) p + 6 (d) p − 6
34. 34.Find the value of 7a + 7b when a = 5 and b = 10.
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
36. 36.Find the value of 9a + 6b when a = 1 and b = 9.
37. 37.Find the value of 6a + 3b when a = 3 and b = 4.
38. 38.Kabir shares n pencils equally among 4 friends. Which expression shows how many pencils each friend gets? (a) n ÷ 4 (b) n + 4 (c) n − 4 (d) 4n
39. 39.Find the value of 3a + 7b when a = 4 and b = 9.
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?

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