Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 302 · 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.Sneha shares k pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) k − 7 (b) 7k (c) k + 7 (d) k ÷ 7
2. 2.Aditya shares n balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) n − 3 (b) n + 3 (c) n ÷ 3 (d) 3n
3. 3.Aarav shares k laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) k + 4 (b) 4k (c) k − 4 (d) k ÷ 4
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
5. 5.Find the value of 7a + 3b when a = 1 and b = 1.
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
7. 7.Meera has k laddoos. A friend has 6 more. Which expression shows how many laddoos the friend has? (a) 6k (b) k + 6 (c) k − 6 (d) k ÷ 6
8. 8.Find the value of 3a + 4b when a = 3 and b = 5.
9. 9.Tara shares n balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
10. 10.Find the value of 8a + 6b when a = 2 and b = 7.
11. 11.Solve: 7y = 49. What is y?
12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
13. 13.Find the value of 8p + 3 when p = 10.
14. 14.Nisha has m mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) m ÷ 5 (b) 5m (c) m + 5 (d) m − 5
15. 15.Saanvi has n kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) 3n (b) n − 3 (c) n + 3 (d) n ÷ 3
16. 16.Find the value of 3t − 2 when t = 5.
17. 17.Find the value of 2a + 4b when a = 9 and b = 5.
18. 18.Find the value of 2a + 4b when a = 9 and b = 9.
19. 19.Solve: y ÷ 7 = 6. What is y?
20. 20.Find the value of 8m + 3 when m = 12.
21. 21.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
22. 22.Solve: x + 7 = 14. What is x?
23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
24. 24.Find the value of 5y + 4 when y = 9.
25. 25.Solve: 10t = 60. What is t?
26. 26.Find the value of 8t − 2 when t = 7.
27. 27.Find the value of 5a + 5b when a = 8 and b = 10.
28. 28.Solve: 10n = 40. What is n?
29. 29.Solve: n − 4 = 17. What is n?
30. 30.Riya has m balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) m ÷ 5 (b) m − 5 (c) m + 5 (d) 5m
31. 31.Solve: t + 10 = 19. What is t?
32. 32.Find the value of 8n − 48 when n = 7.
33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
34. 34.Find the value of 8m + 12 when m = 8.
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
36. 36.Solve: t + 2 = 10. What is t?
37. 37.Pooja has n books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
38. 38.Kavya has p laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) p ÷ 2 (b) p + 2 (c) 2p (d) p − 2
39. 39.Find the value of 8p + 6 when p = 11.
40. 40.Find the value of 7y − 8 when y = 5.

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