Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 36 · 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: 7x = 77. What is x?
2. 2.Find the value of 3p − 10 when p = 11.
3. 3.Find the value of 2a + 9b when a = 2 and b = 3.
4. 4.Find the value of 8a + 7b when a = 9 and b = 2.
5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
6. 6.Find the value of 4p − 40 when p = 12.
7. 7.Solve: m ÷ 12 = 6. What is m?
8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
9. 9.Find the value of 2y − 8 when y = 5.
10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
12. 12.Solve: t ÷ 12 = 9. What is t?
13. 13.Find the value of 3y − 3 when y = 3.
14. 14.Find the value of 2t + 13 when t = 9.
15. 15.Find the value of 5p + 17 when p = 5.
16. 16.Riya shares k shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) k ÷ 6 (b) 6k (c) k + 6 (d) k − 6
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
20. 20.Find the value of 6y + 2 when y = 1.
21. 21.Find the value of 3a + 4b when a = 1 and b = 10.
22. 22.Solve: x + 8 = 15. What is x?
23. 23.Find the value of 3x + 6 when x = 8.
24. 24.Solve: t − 8 = 16. What is t?
25. 25.Rohan shares n kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) n − 8 (b) n ÷ 8 (c) n + 8 (d) 8n
26. 26.Find the value of 2t − 6 when t = 7.
27. 27.Find the value of 8a + 8b when a = 9 and b = 2.
28. 28.Solve: x ÷ 2 = 20. What is x?
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
30. 30.Ishaan shares n balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) n − 2 (b) n + 2 (c) n ÷ 2 (d) 2n
31. 31.Find the value of 2x + 3 when x = 6.
32. 32.Kabir has m crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) 6m (b) m ÷ 6 (c) m − 6 (d) m + 6
33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
35. 35.Ananya shares m flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) 7m (b) m ÷ 7 (c) m − 7 (d) m + 7
36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
37. 37.Find the value of 7m − 8 when m = 4.
38. 38.Manav has k crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) 4k (b) k + 4 (c) k ÷ 4 (d) k − 4
39. 39.Find the value of 3p − 9 when p = 4.
40. 40.Priya shares m bananas equally among 6 friends. Which expression shows how many bananas each friend gets? (a) m − 6 (b) 6m (c) m + 6 (d) m ÷ 6

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