Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 187 · 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.Solve: y ÷ 12 = 3. What is y?
2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
3. 3.Find the value of 7n + 7 when n = 11.
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
5. 5.Find the value of 3a + 8b when a = 5 and b = 8.
6. 6.Solve: 7t = 84. What is t?
7. 7.Solve: 5m = 30. What is m?
8. 8.Rahul has m shells. A friend has 7 fewer. Which expression shows how many shells the friend has? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7
9. 9.Solve: p + 4 = 14. What is p?
10. 10.Find the value of 3a + 2b when a = 5 and b = 1.
11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
12. 12.Find the value of 8n + 11 when n = 9.
13. 13.Solve: y + 6 = 26. What is y?
14. 14.Find the value of 9t + 2 when t = 2.
15. 15.Find the value of 2m + 1 when m = 5.
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
18. 18.Isha has m flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) m − 4 (b) m + 4 (c) m ÷ 4 (d) 4m
19. 19.Dev shares n flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
20. 20.Find the value of 9a + 2b when a = 6 and b = 6.
21. 21.Find the value of 8p − 16 when p = 7.
22. 22.Find the value of 4m − 12 when m = 8.
23. 23.Find the value of 9a + 2b when a = 10 and b = 8.
24. 24.Find the value of 3p − 6 when p = 4.
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
26. 26.Solve: y + 4 = 14. What is y?
27. 27.Solve: 4p = 28. What is p?
28. 28.Kavya shares p books equally among 8 friends. Which expression shows how many books each friend gets? (a) 8p (b) p ÷ 8 (c) p + 8 (d) p − 8
29. 29.Isha shares k pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) k − 8 (b) 8k (c) k + 8 (d) k ÷ 8
30. 30.Find the value of 2x − 2 when x = 5.
31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
33. 33.Find the value of 3m − 1 when m = 10.
34. 34.Find the value of 6m − 42 when m = 10.
35. 35.Find the value of 9n − 76 when n = 12.
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
37. 37.Solve: y − 9 = 13. What is y?
38. 38.Zoya has n pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) 8n (b) n − 8 (c) n ÷ 8 (d) n + 8
39. 39.Find the value of 9t + 9 when t = 10.
40. 40.Solve: p − 10 = 4. What is p?

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