Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 373 · 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 7n + 12 when n = 4.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
3. 3.Find the value of 3a + 3b when a = 3 and b = 4.
4. 4.Find the value of 8x + 16 when x = 9.
5. 5.Farhan shares k flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) 3k (b) k + 3 (c) k ÷ 3 (d) k − 3
6. 6.Solve: n + 3 = 12. What is n?
7. 7.Find the value of 4a + 7b when a = 3 and b = 7.
8. 8.Solve: 11x = 154. What is x?
9. 9.Lakshmi has p laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) p − 8 (b) p + 8 (c) p ÷ 8 (d) 8p
10. 10.Find the value of 9a + 4b when a = 3 and b = 7.
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
12. 12.Solve: 6n = 54. What is n?
13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
14. 14.Find the value of 3x + 1 when x = 1.
15. 15.Aarav has m bananas. A friend has 5 fewer. Which expression shows how many bananas the friend has? (a) m + 5 (b) m ÷ 5 (c) m − 5 (d) 5m
16. 16.Find the value of 7a + 4b when a = 7 and b = 8.
17. 17.Find the value of 5a + 9b when a = 10 and b = 10.
18. 18.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
19. 19.Find the value of 9a + 4b when a = 6 and b = 1.
20. 20.Find the value of 5t + 18 when t = 3.
21. 21.Solve: 2p = 36. What is p?
22. 22.Find the value of 4y − 27 when y = 8.
23. 23.Find the value of 4a + 7b when a = 10 and b = 5.
24. 24.Solve: n − 11 = 18. What is n?
25. 25.Zoya has m balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) m + 9 (b) 9m (c) m ÷ 9 (d) m − 9
26. 26.Find the value of 7p + 2 when p = 12.
27. 27.Find the value of 6a + 2b when a = 7 and b = 2.
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
29. 29.Find the value of 7p + 15 when p = 12.
30. 30.Find the value of 5m + 14 when m = 5.
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
32. 32.Find the value of 4y + 16 when y = 2.
33. 33.Solve: n + 11 = 29. What is n?
34. 34.Solve: y − 2 = 6. What is y?
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
37. 37.Solve: 7y = 63. What is y?
38. 38.Riya has k crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) 7k (b) k + 7 (c) k − 7 (d) k ÷ 7
39. 39.Find the value of 8p + 2 when p = 5.
40. 40.Kavya has p bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) p + 8 (b) p − 8 (c) 8p (d) p ÷ 8

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