Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 22 · 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.Rohan shares n balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) n ÷ 2 (b) 2n (c) n − 2 (d) n + 2
2. 2.Find the value of 4a + 7b when a = 7 and b = 7.
3. 3.Find the value of 7a + 4b when a = 7 and b = 2.
4. 4.Tara has k pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) k − 6 (b) k ÷ 6 (c) 6k (d) k + 6
5. 5.Karan has n balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) n ÷ 2 (b) n + 2 (c) n − 2 (d) 2n
6. 6.Kabir shares n books equally among 8 friends. Which expression shows how many books each friend gets? (a) 8n (b) n ÷ 8 (c) n − 8 (d) n + 8
7. 7.Solve: n + 4 = 8. What is n?
8. 8.Find the value of 4a + 2b when a = 6 and b = 1.
9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
11. 11.Find the value of 2n + 2 when n = 11.
12. 12.Find the value of 5a + 4b when a = 8 and b = 5.
13. 13.Find the value of 8a + 3b when a = 4 and b = 1.
14. 14.Solve: 8y = 48. What is y?
15. 15.Find the value of 3p − 5 when p = 7.
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
17. 17.Solve: 12y = 180. What is y?
18. 18.Find the value of 8t + 7 when t = 10.
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
20. 20.Find the value of 2a + 6b when a = 5 and b = 6.
21. 21.Rohan has m balls. A friend has 8 times as many. Which expression shows how many balls the friend has? (a) m ÷ 8 (b) m − 8 (c) m + 8 (d) 8m
22. 22.Find the value of 5n − 10 when n = 7.
23. 23.Find the value of 6a + 9b when a = 8 and b = 3.
24. 24.Find the value of 5a + 8b when a = 10 and b = 4.
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
27. 27.Solve: y + 5 = 16. What is y?
28. 28.Find the value of 6y + 11 when y = 1.
29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
30. 30.Aditya has n mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) n ÷ 4 (b) 4n (c) n − 4 (d) n + 4
31. 31.Solve: p − 6 = 4. What is p?
32. 32.Find the value of 4n + 10 when n = 3.
33. 33.Find the value of 2y + 20 when y = 6.
34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
36. 36.Sneha has m balls. A friend has 8 times as many. Which expression shows how many balls the friend has? (a) m − 8 (b) m ÷ 8 (c) 8m (d) m + 8
37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
38. 38.Find the value of 8a + 2b when a = 3 and b = 8.
39. 39.Find the value of 4a + 4b when a = 7 and b = 4.
40. 40.Find the value of 2m + 7 when m = 5.

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