Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 105 · 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 9 letters?
2. 2.Solve: m + 7 = 9. What is m?
3. 3.Find the value of 2a + 2b when a = 5 and b = 1.
4. 4.Find the value of 4m + 15 when m = 2.
5. 5.Solve: n + 2 = 11. What is n?
6. 6.Solve: 2t = 24. What is t?
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
8. 8.Find the value of 5a + 8b when a = 6 and b = 8.
9. 9.Find the value of 4a + 4b when a = 10 and b = 10.
10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
11. 11.Lakshmi has p mangoes. A friend has 9 fewer. Which expression shows how many mangoes the friend has? (a) p + 9 (b) 9p (c) p ÷ 9 (d) p − 9
12. 12.Find the value of 6a + 7b when a = 1 and b = 8.
13. 13.Kabir has n flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) n + 8 (b) n − 8 (c) 8n (d) n ÷ 8
14. 14.Find the value of 2n + 3 when n = 3.
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
16. 16.Aarav shares m shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) m − 5 (b) m ÷ 5 (c) m + 5 (d) 5m
17. 17.Find the value of 5a + 4b when a = 7 and b = 8.
18. 18.Find the value of 5t + 5 when t = 11.
19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
21. 21.Find the value of 7t − 36 when t = 8.
22. 22.Solve: y − 7 = 4. What is y?
23. 23.Solve: 5y = 35. What is y?
24. 24.Find the value of 6a + 9b when a = 6 and b = 4.
25. 25.Find the value of 2a + 2b when a = 9 and b = 2.
26. 26.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
28. 28.Priya shares k laddoos equally among 9 friends. Which expression shows how many laddoos each friend gets? (a) k + 9 (b) 9k (c) k − 9 (d) k ÷ 9
29. 29.Solve: n + 6 = 16. What is n?
30. 30.Find the value of 5a + 4b when a = 2 and b = 1.
31. 31.Tara has k balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) 8k (b) k ÷ 8 (c) k − 8 (d) k + 8
32. 32.Find the value of 8a + 5b when a = 10 and b = 8.
33. 33.Find the value of 3p + 9 when p = 3.
34. 34.Solve: t + 9 = 16. What is t?
35. 35.Solve: 9y = 45. What is y?
36. 36.Sneha has m balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) 3m (b) m ÷ 3 (c) m + 3 (d) m − 3
37. 37.Find the value of 8m + 15 when m = 12.
38. 38.Gurpreet has p pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) p ÷ 8 (b) 8p (c) p + 8 (d) p − 8
39. 39.Solve: y ÷ 3 = 11. What is y?
40. 40.Solve: p ÷ 9 = 13. What is p?

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