Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 170 · 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 6n + 3 when n = 11.
2. 2.Solve: x + 2 = 7. What is x?
3. 3.Farhan has m books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) m + 3 (b) 3m (c) m − 3 (d) m ÷ 3
4. 4.Gurpreet shares k kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) k ÷ 6 (b) k − 6 (c) 6k (d) k + 6
5. 5.Find the value of 2m + 18 when m = 10.
6. 6.Find the value of 7t − 6 when t = 9.
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
9. 9.Find the value of 2y − 1 when y = 1.
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
11. 11.Find the value of 3m − 5 when m = 8.
12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
15. 15.Joseph has n books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) n ÷ 5 (b) 5n (c) n − 5 (d) n + 5
16. 16.Arjun has m bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) m − 6 (b) 6m (c) m ÷ 6 (d) m + 6
17. 17.Find the value of 3x + 20 when x = 11.
18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
19. 19.Solve: 3y = 18. What is y?
20. 20.Find the value of 4a + 4b when a = 6 and b = 7.
21. 21.Find the value of 6a + 3b when a = 10 and b = 1.
22. 22.Find the value of 9a + 4b when a = 3 and b = 1.
23. 23.Aditya shares n marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) n + 9 (b) n ÷ 9 (c) n − 9 (d) 9n
24. 24.Find the value of 3n − 29 when n = 10.
25. 25.Find the value of 4x + 19 when x = 3.
26. 26.Find the value of 4a + 6b when a = 10 and b = 3.
27. 27.Solve: 6m = 120. What is m?
28. 28.Lakshmi has m crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) 4m (b) m + 4 (c) m ÷ 4 (d) m − 4
29. 29.Solve: x + 8 = 14. What is x?
30. 30.Solve: 9x = 117. What is x?
31. 31.Solve: n ÷ 3 = 15. What is n?
32. 32.Solve: 3t = 24. What is t?
33. 33.Find the value of 8a + 3b when a = 1 and b = 10.
34. 34.Find the value of 7m + 1 when m = 4.
35. 35.Meera has k mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) 6k (b) k + 6 (c) k ÷ 6 (d) k − 6
36. 36.Find the value of 6a + 3b when a = 9 and b = 1.
37. 37.Find the value of 5a + 3b when a = 4 and b = 1.
38. 38.Find the value of 3x + 14 when x = 5.
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?

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