Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 12 · 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: 9p = 54. What is p?
2. 2.Pooja has p balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) p + 6 (b) p − 6 (c) 6p (d) p ÷ 6
3. 3.Kabir has p bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) p − 9 (b) 9p (c) p ÷ 9 (d) p + 9
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
5. 5.Solve: n ÷ 9 = 20. What is n?
6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
9. 9.Solve: 5p = 20. What is p?
10. 10.Solve: y + 8 = 14. What is y?
11. 11.Solve: x ÷ 11 = 14. What is x?
12. 12.Find the value of 2y − 5 when y = 3.
13. 13.Find the value of 7p + 20 when p = 5.
14. 14.Find the value of 5a + 2b when a = 4 and b = 9.
15. 15.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
16. 16.Find the value of 7p − 9 when p = 4.
17. 17.Find the value of 3a + 3b when a = 10 and b = 2.
18. 18.Find the value of 2x + 15 when x = 5.
19. 19.Solve: 2x = 18. What is x?
20. 20.Solve: t − 8 = 5. What is t?
21. 21.Find the value of 5a + 8b when a = 10 and b = 9.
22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
25. 25.Riya has p pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) 5p (b) p + 5 (c) p − 5 (d) p ÷ 5
26. 26.Find the value of 8a + 7b when a = 3 and b = 7.
27. 27.Lakshmi has n flowers. A friend has 5 fewer. Which expression shows how many flowers the friend has? (a) n − 5 (b) n + 5 (c) n ÷ 5 (d) 5n
28. 28.Dev shares p kites equally among 2 friends. Which expression shows how many kites each friend gets? (a) p + 2 (b) p ÷ 2 (c) p − 2 (d) 2p
29. 29.Zoya shares n balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n
30. 30.Find the value of 3p + 13 when p = 10.
31. 31.Solve: t + 6 = 10. What is t?
32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
33. 33.Solve: p + 11 = 17. What is p?
34. 34.Find the value of 8t − 20 when t = 3.
35. 35.Find the value of 3n + 13 when n = 6.
36. 36.Dev has p laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) p ÷ 8 (b) p − 8 (c) 8p (d) p + 8
37. 37.Solve: 6y = 36. What is y?
38. 38.Find the value of 7a + 6b when a = 2 and b = 1.
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
40. 40.Arjun has k pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) k ÷ 2 (b) k + 2 (c) 2k (d) k − 2

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