Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 479 · 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 7a + 2b when a = 10 and b = 10.
2. 2.Dev has p balls. A friend has 6 more. Which expression shows how many balls the friend has? (a) p ÷ 6 (b) p − 6 (c) p + 6 (d) 6p
3. 3.Find the value of 7t + 18 when t = 2.
4. 4.Find the value of 9a + 9b when a = 6 and b = 7.
5. 5.Find the value of 6y − 4 when y = 2.
6. 6.Find the value of 7x − 8 when x = 7.
7. 7.Find the value of 8n + 8 when n = 11.
8. 8.Saanvi has n marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) n ÷ 2 (b) n + 2 (c) 2n (d) n − 2
9. 9.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
10. 10.Sneha has k laddoos. A friend has 7 fewer. Which expression shows how many laddoos the friend has? (a) 7k (b) k ÷ 7 (c) k − 7 (d) k + 7
11. 11.Arjun has n pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
12. 12.Lakshmi has p laddoos. A friend has 8 fewer. Which expression shows how many laddoos the friend has? (a) p + 8 (b) p ÷ 8 (c) p − 8 (d) 8p
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
14. 14.Find the value of 7a + 6b when a = 3 and b = 6.
15. 15.Sneha has p balls. A friend has 5 times as many. Which expression shows how many balls the friend has? (a) p ÷ 5 (b) p − 5 (c) 5p (d) p + 5
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
18. 18.Find the value of 5a + 8b when a = 10 and b = 4.
19. 19.Solve: x ÷ 4 = 10. What is x?
20. 20.Rohan has k laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) 5k (b) k ÷ 5 (c) k − 5 (d) k + 5
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
22. 22.Solve: m ÷ 11 = 16. What is m?
23. 23.Find the value of 3x − 17 when x = 12.
24. 24.Solve: n ÷ 12 = 16. What is n?
25. 25.Find the value of 2p − 12 when p = 10.
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
27. 27.Find the value of 2n + 8 when n = 5.
28. 28.Find the value of 9a + 7b when a = 10 and b = 6.
29. 29.Kavya has m kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) m ÷ 9 (b) m + 9 (c) 9m (d) m − 9
30. 30.Riya shares k mangoes equally among 9 friends. Which expression shows how many mangoes each friend gets? (a) k + 9 (b) k − 9 (c) 9k (d) k ÷ 9
31. 31.Solve: t + 8 = 18. What is t?
32. 32.Find the value of 3m + 8 when m = 1.
33. 33.Find the value of 3a + 3b when a = 4 and b = 2.
34. 34.Solve: 9t = 126. What is t?
35. 35.Find the value of 7a + 2b when a = 1 and b = 2.
36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
37. 37.Solve: n + 9 = 21. What is n?
38. 38.Find the value of 6a + 2b when a = 8 and b = 6.
39. 39.Solve: m + 11 = 31. What is m?
40. 40.Solve: x + 2 = 11. What is x?

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