Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 1 · 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 5a + 6b when a = 3 and b = 1.
2. 2.Vivaan shares p kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) p − 4 (b) 4p (c) p + 4 (d) p ÷ 4
3. 3.Ishaan has m balloons. A friend has 5 times as many. Which expression shows how many balloons the friend has? (a) m + 5 (b) 5m (c) m ÷ 5 (d) m − 5
4. 4.Ananya shares n pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) n ÷ 3 (b) n + 3 (c) n − 3 (d) 3n
5. 5.Find the value of 6t − 22 when t = 7.
6. 6.Find the value of 2a + 4b when a = 6 and b = 6.
7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
12. 12.Nisha shares n laddoos equally among 3 friends. Which expression shows how many laddoos each friend gets? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
13. 13.Joseph has k books. A friend has 7 more. Which expression shows how many books the friend has? (a) k + 7 (b) k − 7 (c) 7k (d) k ÷ 7
14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
15. 15.Find the value of 7n − 40 when n = 12.
16. 16.Find the value of 7t + 3 when t = 1.
17. 17.Find the value of 4y − 7 when y = 5.
18. 18.Solve: 11p = 165. What is p?
19. 19.Find the value of 9a + 7b when a = 1 and b = 5.
20. 20.Find the value of 9x + 2 when x = 3.
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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
23. 23.Solve: p + 9 = 14. What is p?
24. 24.Solve: m − 7 = 11. What is m?
25. 25.Find the value of 8a + 4b when a = 10 and b = 4.
26. 26.Solve: 10n = 50. What is n?
27. 27.Solve: y ÷ 4 = 17. What is y?
28. 28.Meera has m bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) m − 6 (b) m + 6 (c) 6m (d) m ÷ 6
29. 29.Solve: m + 4 = 15. What is m?
30. 30.Find the value of 3a + 3b when a = 8 and b = 1.
31. 31.Find the value of 2a + 9b when a = 9 and b = 4.
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
33. 33.Solve: x − 10 = 12. What is x?
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
35. 35.Find the value of 3t + 15 when t = 7.
36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
37. 37.Solve: x ÷ 2 = 5. What is x?
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
39. 39.Solve: 4y = 52. What is y?
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?

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