Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 117 · 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: n + 8 = 10. What is n?
2. 2.Find the value of 3a + 8b when a = 8 and b = 10.
3. 3.Kavya has k kites. A friend has 3 fewer. Which expression shows how many kites the friend has? (a) k − 3 (b) 3k (c) k + 3 (d) k ÷ 3
4. 4.Solve: y ÷ 7 = 19. What is y?
5. 5.Solve: t − 3 = 5. What is t?
6. 6.Ananya has n balls. A friend has 2 fewer. Which expression shows how many balls the friend has? (a) 2n (b) n + 2 (c) n − 2 (d) n ÷ 2
7. 7.Zoya shares n books equally among 8 friends. Which expression shows how many books each friend gets? (a) n ÷ 8 (b) 8n (c) n + 8 (d) n − 8
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
9. 9.Solve: m ÷ 2 = 16. What is m?
10. 10.Solve: y + 4 = 17. What is y?
11. 11.Solve: p ÷ 12 = 12. What is p?
12. 12.Solve: 8p = 40. What is p?
13. 13.Solve: p + 11 = 22. What is p?
14. 14.Solve: x + 9 = 12. What is x?
15. 15.Find the value of 3x − 23 when x = 9.
16. 16.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
17. 17.Dev has n shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) n − 9 (b) n ÷ 9 (c) 9n (d) n + 9
18. 18.Find the value of 2a + 8b when a = 6 and b = 8.
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
20. 20.Saanvi shares n kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) 4n (b) n + 4 (c) n − 4 (d) n ÷ 4
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
22. 22.Find the value of 7x + 20 when x = 4.
23. 23.Solve: y + 6 = 15. What is y?
24. 24.Solve: y ÷ 6 = 19. What is y?
25. 25.Aarav shares m laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) 5m (b) m ÷ 5 (c) m − 5 (d) m + 5
26. 26.Solve: y ÷ 4 = 7. What is y?
27. 27.Solve: m ÷ 2 = 4. What is m?
28. 28.Find the value of 2m + 13 when m = 6.
29. 29.Solve: n ÷ 3 = 8. What is n?
30. 30.Solve: y ÷ 3 = 15. What is y?
31. 31.Find the value of 5m + 2 when m = 5.
32. 32.Find the value of 7m + 9 when m = 8.
33. 33.Find the value of 2a + 6b when a = 9 and b = 7.
34. 34.Arjun has n pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) n ÷ 7 (b) n − 7 (c) 7n (d) n + 7
35. 35.Sneha has k flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) k ÷ 8 (b) k + 8 (c) k − 8 (d) 8k
36. 36.Find the value of 5y − 18 when y = 4.
37. 37.Solve: t − 4 = 13. What is t?
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
39. 39.Find the value of 2a + 4b when a = 8 and b = 8.
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?

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