Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 535 · 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 8n − 15 when n = 3.
2. 2.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
3. 3.Find the value of 6p − 34 when p = 12.
4. 4.Solve: x − 2 = 16. What is x?
5. 5.Find the value of 5a + 4b when a = 3 and b = 2.
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
7. 7.Joseph has n balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) n ÷ 4 (b) 4n (c) n − 4 (d) n + 4
8. 8.Zoya has m books. A friend has 7 fewer. Which expression shows how many books the friend has? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7
9. 9.Solve: p − 6 = 11. What is p?
10. 10.Find the value of 6a + 3b when a = 8 and b = 3.
11. 11.Find the value of 3m − 31 when m = 11.
12. 12.Riya shares n marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) 9n (b) n ÷ 9 (c) n − 9 (d) n + 9
13. 13.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
14. 14.Solve: m ÷ 9 = 12. What is m?
15. 15.Find the value of 8p − 18 when p = 8.
16. 16.Find the value of 2y + 18 when y = 11.
17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
18. 18.Find the value of 3m − 1 when m = 1.
19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
20. 20.Kavya shares n balls equally among 8 friends. Which expression shows how many balls each friend gets? (a) n ÷ 8 (b) 8n (c) n − 8 (d) n + 8
21. 21.Find the value of 4a + 6b when a = 9 and b = 8.
22. 22.Find the value of 8a + 2b when a = 5 and b = 5.
23. 23.Find the value of 7a + 4b when a = 4 and b = 6.
24. 24.Find the value of 4x − 11 when x = 5.
25. 25.Riya has m laddoos. A friend has 2 fewer. Which expression shows how many laddoos the friend has? (a) 2m (b) m − 2 (c) m + 2 (d) m ÷ 2
26. 26.Solve: p + 6 = 14. What is p?
27. 27.Find the value of 7a + 9b when a = 1 and b = 7.
28. 28.Solve: 11p = 88. What is p?
29. 29.Zoya has n mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) 3n (b) n − 3 (c) n ÷ 3 (d) n + 3
30. 30.Aarav has k mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) k + 4 (b) k ÷ 4 (c) 4k (d) k − 4
31. 31.Find the value of 7n − 16 when n = 3.
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
33. 33.Find the value of 7t + 5 when t = 11.
34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
35. 35.Find the value of 9a + 2b when a = 2 and b = 6.
36. 36.Solve: m ÷ 9 = 5. What is m?
37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
38. 38.Aditya shares n flowers equally among 5 friends. Which expression shows how many flowers each friend gets? (a) 5n (b) n ÷ 5 (c) n − 5 (d) n + 5
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
40. 40.Solve: n + 12 = 15. What is n?

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