Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 83 · 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 4n − 47 when n = 12.
2. 2.Joseph 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.Solve: p − 11 = 16. What is p?
4. 4.Find the value of 9a + 5b when a = 7 and b = 9.
5. 5.Find the value of 7a + 5b when a = 2 and b = 8.
6. 6.Solve: 8x = 88. What is x?
7. 7.Find the value of 4a + 6b when a = 10 and b = 3.
8. 8.Find the value of 2n + 14 when n = 8.
9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
10. 10.Find the value of 2p + 15 when p = 6.
11. 11.Solve: p + 8 = 11. What is p?
12. 12.Riya shares m crayons equally among 8 friends. Which expression shows how many crayons each friend gets? (a) m + 8 (b) m − 8 (c) m ÷ 8 (d) 8m
13. 13.Find the value of 4y − 17 when y = 5.
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
15. 15.Riya has k shells. A friend has 8 more. Which expression shows how many shells the friend has? (a) 8k (b) k + 8 (c) k − 8 (d) k ÷ 8
16. 16.Find the value of 8a + 6b when a = 1 and b = 1.
17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
19. 19.Find the value of 3n − 7 when n = 5.
20. 20.Lakshmi has n marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) 8n (b) n − 8 (c) n + 8 (d) n ÷ 8
21. 21.Find the value of 8y − 12 when y = 4.
22. 22.Find the value of 5a + 2b when a = 3 and b = 1.
23. 23.Find the value of 8a + 6b when a = 8 and b = 3.
24. 24.Solve: x + 9 = 14. What is x?
25. 25.Pooja shares k laddoos equally among 9 friends. Which expression shows how many laddoos each friend gets? (a) k ÷ 9 (b) k − 9 (c) 9k (d) k + 9
26. 26.Solve: n − 2 = 8. What is n?
27. 27.Find the value of 5a + 4b when a = 4 and b = 9.
28. 28.Find the value of 9x − 19 when x = 4.
29. 29.Solve: p ÷ 11 = 16. What is p?
30. 30.Kabir shares n pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) n + 5 (b) n − 5 (c) 5n (d) n ÷ 5
31. 31.Solve: 5n = 70. What is n?
32. 32.Find the value of 8a + 8b when a = 2 and b = 7.
33. 33.Solve: m + 5 = 12. What is m?
34. 34.Karan has m crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 9 (b) 9m (c) m + 9 (d) m − 9
35. 35.Isha shares n books equally among 6 friends. Which expression shows how many books each friend gets? (a) n − 6 (b) n ÷ 6 (c) n + 6 (d) 6n
36. 36.Solve: y + 8 = 15. What is y?
37. 37.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
39. 39.Find the value of 3a + 2b when a = 7 and b = 5.
40. 40.Find the value of 2a + 6b when a = 10 and b = 3.

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