Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 120 · 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.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
2. 2.Aditya shares m balls equally among 9 friends. Which expression shows how many balls each friend gets? (a) m − 9 (b) m ÷ 9 (c) 9m (d) m + 9
3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
5. 5.Diya shares p laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) p ÷ 7 (b) p − 7 (c) p + 7 (d) 7p
6. 6.Solve: y ÷ 2 = 7. What is y?
7. 7.Solve: x + 3 = 15. What is x?
8. 8.Find the value of 2a + 8b when a = 8 and b = 1.
9. 9.Find the value of 8a + 4b when a = 4 and b = 5.
10. 10.Find the value of 5a + 7b when a = 2 and b = 9.
11. 11.Find the value of 6a + 8b when a = 8 and b = 5.
12. 12.Find the value of 3a + 3b when a = 2 and b = 10.
13. 13.Find the value of 9a + 9b when a = 4 and b = 6.
14. 14.Solve: y + 8 = 12. What is y?
15. 15.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
16. 16.Solve: p ÷ 5 = 3. What is p?
17. 17.Find the value of 3m + 15 when m = 8.
18. 18.Solve: x − 7 = 4. What is x?
19. 19.Solve: 9p = 171. What is p?
20. 20.Solve: n − 8 = 10. What is n?
21. 21.Find the value of 5a + 2b when a = 2 and b = 2.
22. 22.Aarav shares n mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
23. 23.Find the value of 3y + 5 when y = 9.
24. 24.Priya has k mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) k ÷ 2 (b) 2k (c) k + 2 (d) k − 2
25. 25.Find the value of 5a + 9b when a = 7 and b = 2.
26. 26.Solve: p + 7 = 26. What is p?
27. 27.Find the value of 3a + 6b when a = 3 and b = 8.
28. 28.Karan has m flowers. A friend has 5 fewer. Which expression shows how many flowers the friend has? (a) 5m (b) m − 5 (c) m + 5 (d) m ÷ 5
29. 29.Solve: m ÷ 7 = 9. What is m?
30. 30.Find the value of 5p + 13 when p = 2.
31. 31.Aditya has k pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) k + 7 (b) k − 7 (c) k ÷ 7 (d) 7k
32. 32.Solve: t ÷ 7 = 17. What is t?
33. 33.Solve: 3x = 33. What is x?
34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
35. 35.Find the value of 9n + 17 when n = 10.
36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
37. 37.Find the value of 9a + 9b when a = 10 and b = 7.
38. 38.Find the value of 5x + 1 when x = 4.
39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
40. 40.Find the value of 7x + 18 when x = 12.

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